Variational And Extremum Principles In Macroscopic Systems

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Variational and Extremum Principles in Macroscopic Systems

Author : Stanislaw Sieniutycz
Publisher : Elsevier
ISBN 13 : 9780080456140
Total Pages : 810 pages
Book Rating : 4.4/5 (561 download)

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Book Synopsis Variational and Extremum Principles in Macroscopic Systems by : Stanislaw Sieniutycz

Download or read book Variational and Extremum Principles in Macroscopic Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2010-07-07 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles. Through the link between the integral extremum of a functional and the local extremum of a function (explicit, for example, in the Pontryagin’s maximum principle variational and extremum principles are mutually related. Thus it makes sense to consider them within a common context. The main goal of Variational and Extremum Principles in Macroscopic Systems is to collect various mathematical formulations and examples of physical reasoning that involve both basic theoretical aspects and applications of variational and extremum approaches to systems of the macroscopic world. The first part of the book is focused on the theory, whereas the second focuses on applications. The unifying variational approach is used to derive the balance or conservation equations, phenomenological equations linking fluxes and forces, equations of change for processes with coupled transfer of energy and substance, and optimal conditions for energy management. A unique multidisciplinary synthesis of variational and extremum principles in theory and application A comprehensive review of current and past achievements in variational formulations for macroscopic processes Uses Lagrangian and Hamiltonian formalisms as a basis for the exposition of novel approaches to transfer and conversion of thermal, solar and chemical energy

Thermodynamic Approaches in Engineering Systems

Author : Stanislaw Sieniutycz
Publisher : Elsevier
ISBN 13 : 0128093390
Total Pages : 738 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Thermodynamic Approaches in Engineering Systems by : Stanislaw Sieniutycz

Download or read book Thermodynamic Approaches in Engineering Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2016-05-20 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamic Approaches in Engineering Systems responds to the need for a synthesizing volume that throws light upon the extensive field of thermodynamics from a chemical engineering perspective that applies basic ideas and key results from the field to chemical engineering problems. This book outlines and interprets the most valuable achievements in applied non-equilibrium thermodynamics obtained within the recent fifty years. It synthesizes nontrivial achievements of thermodynamics in important branches of chemical and biochemical engineering. Readers will gain an update on what has been achieved, what new research problems could be stated, and what kind of further studies should be developed within specialized research. Presents clearly structured chapters beginning with an introduction, elaboration of the process, and results summarized in a conclusion Written by a first-class expert in the field of advanced methods in thermodynamics Provides a synthesis of recent thermodynamic developments in practical systems Presents very elaborate literature discussions from the past fifty years

The Nature of Motive Force

Author : Achintya Kumar Pramanick
Publisher : Springer
ISBN 13 : 3642544711
Total Pages : 141 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis The Nature of Motive Force by : Achintya Kumar Pramanick

Download or read book The Nature of Motive Force written by Achintya Kumar Pramanick and published by Springer. This book was released on 2014-08-23 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph Prof. Pramanick explicates the law of motive force, a fundamental law of nature that can be observed and appreciated as an addition to the existing laws of thermodynamics. This unmistakable and remarkable tendency of nature is equally applicable to all other branches of studies. He first conceptualized the law of motive force in 1989, when he was an undergraduate student. Here he reports various applications of the law in the area of thermodynamics, heat transfer, fluid mechanics and solid mechanics, and shows how it is possible to solve analytically century-old unsolved problems through its application. This book offers a comprehensive account of the law and its relation to other laws and principles, such as the generalized conservation principle, variational formulation, Fermat’s principle, Bejan’s constructal law, entropy generation minimization, Bejan’s method of intersecting asymptotes and equipartition principle. Furthermore, the author addresses some interrelated fundamental problems of contemporary interest, especially to thermodynamicists, by combining analytical methods, physical reasoning and the proposed law of motive force. This foundational work is a valuable reading for both students and researchers in exact as well as non-exact sciences and, at the same time, a pleasant learning experience for the novice.

Complexity and Complex Chemo-Electric Systems

Author : Stanislaw Sieniutycz
Publisher : Elsevier
ISBN 13 : 0128236361
Total Pages : 324 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Complexity and Complex Chemo-Electric Systems by : Stanislaw Sieniutycz

Download or read book Complexity and Complex Chemo-Electric Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2021-02-09 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexity and Complex Chemo-Electric Systems presents an analysis and synthesis of chemo-electric systems, providing insights on transports in electrolytes, electrode reactions, electrocatalysis, electrochemical membranes, and various aspects of heterogeneous systems and electrochemical engineering. The book describes the properties of complexity and complex chemo-electric systems as the consequence of formulations, definitions, tools, solutions and results that are often consistent with the best performance of the system. The book handles cybernetics, systems theory and advanced contemporary techniques such as optimal control, neural networks and stochastic optimizations (adaptive random search, genetic algorithms, and simulated annealing). A brief part of the book is devoted to issues such as various definitions of complexity, hierarchical structures, self-organization examples, special references, and historical issues. This resource complements Sieniutycz’ recently published book, Complexity and Complex Thermodynamic Systems, with its inclusion of complex chemo-electric systems in which complexities, emergent properties and self-organization play essential roles. Covers the theory and applications of complex chemo-electric systems through modeling, analysis, synthesis and optimization Provides a clear presentation of the applications of transport theory to electrolyte solutions, heterogeneous electrochemical systems, membranes, electro-kinetic phenomena and interface processes Includes numerous explanatory graphs and drawings that illustrate the properties and complexities in complex chemo-electric systems Written by an experienced expert in the field of advanced methods in thermodynamics and related aspects of macroscopic physics

Energy Optimization in Process Systems

Author : Stanislaw Sieniutycz
Publisher : Elsevier
ISBN 13 : 9780080914428
Total Pages : 768 pages
Book Rating : 4.9/5 (144 download)

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Book Synopsis Energy Optimization in Process Systems by : Stanislaw Sieniutycz

Download or read book Energy Optimization in Process Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2009-05-06 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the vast research on energy optimization and process integration, there has to date been no synthesis linking these together. This book fills the gap, presenting optimization and integration in energy and process engineering. The content is based on the current literature and includes novel approaches developed by the authors. Various thermal and chemical systems (heat and mass exchangers, thermal and water networks, energy converters, recovery units, solar collectors, and separators) are considered. Thermodynamics, kinetics and economics are used to formulate and solve problems with constraints on process rates, equipment size, environmental parameters, and costs. Comprehensive coverage of dynamic optimization of energy conversion systems and separation units is provided along with suitable computational algorithms for deterministic and stochastic optimization approaches based on: nonlinear programming, dynamic programming, variational calculus, Hamilton-Jacobi-Bellman theory, Pontryagin's maximum principles, and special methods of process integration. Integration of heat energy and process water within a total site is shown to be a significant factor reducing production costs, in particular costs of utilities for the chemical industry. This integration involves systematic design and optimization of heat exchangers and water networks (HEN and WN). After presenting basic, insight-based Pinch Technology, systematic, optimization-based sequential and simultaneous approaches to design HEN and WN are described. Special consideration is given to the HEN design problem targeting stage, in view of its importance at various levels of system design. Selected, advanced methods for HEN synthesis and retrofit are presented. For WN design a novel approach based on stochastic optimization is described that accounts for both grassroot and revamp design scenarios. Presents a unique synthesis of energy optimization and process integration that applies scientific information from thermodynamics, kinetics, and systems theory Discusses engineering applications including power generation, resource upgrading, radiation conversion and chemical transformation, in static and dynamic systems Clarifies how to identify thermal and chemical constraints and incorporate them into optimization models and solutions

Understanding Non-equilibrium Thermodynamics

Author : Georgy Lebon
Publisher : Springer Science & Business Media
ISBN 13 : 3540742522
Total Pages : 326 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Understanding Non-equilibrium Thermodynamics by : Georgy Lebon

Download or read book Understanding Non-equilibrium Thermodynamics written by Georgy Lebon and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the many facets of non-equilibrium thermodynamics. The first part of this book describes the current thermodynamic formalism recognized as the classical theory. The second part focuses on different approaches. Throughout the presentation, the emphasis is on problem-solving applications. To help build your understanding, some problems have been analyzed using several formalisms to underscore their differences and their similarities.

Optimizing Thermal, Chemical, and Environmental Systems

Author : Stanislaw Sieniutycz
Publisher : Elsevier
ISBN 13 : 0128135832
Total Pages : 452 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Optimizing Thermal, Chemical, and Environmental Systems by : Stanislaw Sieniutycz

Download or read book Optimizing Thermal, Chemical, and Environmental Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2017-11-13 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimizing Thermal, Chemical and Environmental Systems treats the evaluation of power or energy limits for processes that arise in various thermal, chemical and environmental engineering systems (heat and mass exchangers, power converters, recovery units, solar collectors, mixture separators, chemical reactors, catalyst regenerators, etc.). The book is an indispensable source for researchers and students, providing the necessary information on what has been achieved to date in the field of process optimization, new research problems, and what kind of further studies should be developed within quite specialized optimizations. Summarizes recent achievements of advanced optimization techniques Links exergy definitions in reversible systems with classical problems of extremum work Includes practical problems and illustrative examples to clarify applications Provides a unified description of classical and work-assisted heat and mass exchangers Written by a first-class expert in the field of advanced methods in thermodynamics

Non-commuting Variations in Mathematics and Physics

Author : Serge Preston
Publisher : Springer
ISBN 13 : 3319283235
Total Pages : 235 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Non-commuting Variations in Mathematics and Physics by : Serge Preston

Download or read book Non-commuting Variations in Mathematics and Physics written by Serge Preston and published by Springer. This book was released on 2016-03-02 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents and studies the method of so –called noncommuting variations in Variational Calculus. This method was pioneered by Vito Volterra who noticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanics and suggested to modify the basic rule used in Variational Calculus. This book presents a survey of Variational Calculus with non-commutative variations and shows that most basic properties of conventional Euler-Lagrange Equations are, with some modifications, preserved for EL-equations with K-twisted (defined by K)-variations. Most of the book can be understood by readers without strong mathematical preparation (some knowledge of Differential Geometry is necessary). In order to make the text more accessible the definitions and several necessary results in Geometry are presented separately in Appendices I and II Furthermore in Appendix III a short presentation of the Noether Theorem describing the relation between the symmetries of the differential equations with dissipation and corresponding s balance laws is presented.

Complexity and Complex Thermo-Economic Systems

Author : Stanislaw Sieniutycz
Publisher : Elsevier
ISBN 13 : 0128185953
Total Pages : 415 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Complexity and Complex Thermo-Economic Systems by : Stanislaw Sieniutycz

Download or read book Complexity and Complex Thermo-Economic Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2019-11-24 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexity and Complex Thermoeconomic Systems describes the properties of complexity and complex thermo-economic systems as the consequence of formulations, definitions, tools, solutions and results consistent with the best performance of a system. Applying to complex systems contemporary advanced techniques, such as static optimization, optimal control, and neural networks, this book treats the systems theory as a science of general laws for functional integrities. It also provides a platform for the discussion of various definitions of complexity, complex hierarchical structures, self-organization examples, special references, and historical issues. This book is a valuable reference for scientists, engineers and graduated students in chemical, mechanical, and environmental engineering, as well as those in physics, ecology and biology, helping them better understand the complex thermodynamic systems and enhance their technical skills in research. Provides a lucid presentation of the dynamical properties of thermoeconomic systems Includes original graphical material that illustrates the properties of complex systems Written by a first-class expert in the field of advanced methods in thermodynamics

Shell Structures: Theory and Applications (Vol. 2)

Author : Wojciech Pietraszkiewicz
Publisher : CRC Press
ISBN 13 : 1439859191
Total Pages : 686 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Shell Structures: Theory and Applications (Vol. 2) by : Wojciech Pietraszkiewicz

Download or read book Shell Structures: Theory and Applications (Vol. 2) written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2009-09-22 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shell Structures. Theory and Applications, Volume 2 contains 77 contributions from over 17 countries, reflecting a wide spectrum of scientific and engineering problems of shell structures. The papers are divided into six broad groups: 1. General lectures; 2. Theoretical modeling; 3. Stability; 4. Dynamics; 5. Numerical analysis; 6. Engineering

Non-Fourier Heat Conduction

Author : Alexander I. Zhmakin
Publisher : Springer Nature
ISBN 13 : 3031259734
Total Pages : 419 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Non-Fourier Heat Conduction by : Alexander I. Zhmakin

Download or read book Non-Fourier Heat Conduction written by Alexander I. Zhmakin and published by Springer Nature. This book was released on 2023-07-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuable resource for any researcher interested in theoretical and numerical aspects of complex, non-trivial heat conduction problems.

The Statistical Physics of Fixation and Equilibration in Individual-Based Models

Author : Peter Ashcroft
Publisher : Springer
ISBN 13 : 3319412132
Total Pages : 164 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis The Statistical Physics of Fixation and Equilibration in Individual-Based Models by : Peter Ashcroft

Download or read book The Statistical Physics of Fixation and Equilibration in Individual-Based Models written by Peter Ashcroft and published by Springer. This book was released on 2016-07-29 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis explores several interdisciplinary topics at the border of theoretical physics and biology, presenting results that demonstrate the power of methods from statistical physics when applied to neighbouring disciplines. From birth-death processes in switching environments to discussions on the meaning of quasi-potential landscapes in high-dimensional spaces, this thesis is a shining example of the efficacy of interdisciplinary research. The fields advanced in this work include game theory, the dynamics of cancer, and invasion of mutants in resident populations, as well as general contributions to the theory of stochastic processes. The background material provides an intuitive introduction to the theory and applications of stochastic population dynamics, and the use of techniques from statistical physics in their analysis. The thesis then builds on these foundations to address problems motivated by biological phenomena.

Variational Principles in Dynamics and Quantum Theory

Author : Wolfgang Yourgrau
Publisher : Courier Corporation
ISBN 13 : 0486151131
Total Pages : 224 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Variational Principles in Dynamics and Quantum Theory by : Wolfgang Yourgrau

Download or read book Variational Principles in Dynamics and Quantum Theory written by Wolfgang Yourgrau and published by Courier Corporation. This book was released on 2012-04-26 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div

Econophysics

Author : Gheorghe Savoiu
Publisher : Academic Press
ISBN 13 : 0124046266
Total Pages : 180 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Econophysics by : Gheorghe Savoiu

Download or read book Econophysics written by Gheorghe Savoiu and published by Academic Press. This book was released on 2013 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The remarkable evolution of econophysics research has brought the deep synthesis of ideas derived from economics and physics to subjects as diverse as education, banking, finance, and the administration of large institutions. The original papers in this collection present a broad summary of these advances, written by interdisciplinary specialists. Included are studies on subjects in the development of econophysics; on the perspectives offered by econophysics on large problems in economics and finance, including the 2008-9 financial crisis; and on higher education and group decision making. The introductions and insights they provide will benefit everyone interested in applications of this new transdisciplinary science. Ten papers present an updated version of the origins, issues, and applications of econophysics Economics and finance chapters consider lessons learned from the 2008-9 financial crisis Sociophysics chapters propose new thinking on educational reforms and group decision making

Configurational Forces

Author : Gerard A. Maugin
Publisher : CRC Press
ISBN 13 : 9781439846131
Total Pages : 562 pages
Book Rating : 4.8/5 (461 download)

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Book Synopsis Configurational Forces by : Gerard A. Maugin

Download or read book Configurational Forces written by Gerard A. Maugin and published by CRC Press. This book was released on 2016-04-19 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring recent developments in continuum mechanics, Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics presents the general framework for configurational forces. It also covers a range of applications in engineering and condensed matter physics. The author presents the fundamentals of accepted standard continuum mechanics, before introducing Eshelby material stress, field theory, variational formulations, Noether’s theorem, and the resulting conservation laws. In the chapter on complex continua, he compares the classical perspective of B.D. Coleman and W. Noll with the viewpoint linked to abstract field theory. He then describes the important notion of local structural rearrangement and its relationship to Eshelby stress. After looking at the relevance of Eshelby stress in the thermodynamic description of singular interfaces, the text focuses on fracture problems, microstructured media, systems with mass exchanges, and electromagnetic deformable media. The concluding chapters discuss the exploitation of the canonical conservation law of momentum in nonlinear wave propagation, the application of canonical-momentum conservation law and material force in numerical schemes, and similarities of fluid mechanics and aerodynamics. Written by a long-time researcher in mechanical engineering, this book provides a detailed treatment of the theory of configurational forces—one of the latest and most fruitful advances in macroscopic field theories. Through many applications, it shows the depth and efficiency of this theory.

Complexity and Complex Ecological Systems

Author : Stanislaw Sieniutycz
Publisher : Elsevier
ISBN 13 : 0443192383
Total Pages : 190 pages
Book Rating : 4.4/5 (431 download)

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Book Synopsis Complexity and Complex Ecological Systems by : Stanislaw Sieniutycz

Download or read book Complexity and Complex Ecological Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2023-03-22 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexity and Complex Ecological Systems is an extension of Elsevier’s 2021 book Complexity and Complex Chemo-Electric Systems directed toward the analysis and synthesis of diverse ecological processes running in heterogeneous macrosystems. Contemporary advanced techniques such as averaged analysis, food webs approaches, and classical optimization results along with some numerical algorithms are commonly used in ecosystems. This book treats ecological systems as specific functional integrities. In Complexity and Complex Ecological Systems, one can observe how various types of ecological heterogeneities can contribute to flows of living and inanimate parts of the moving pseudo-continuum. This book is a valuable reference for scientists, engineers, and graduate students of environmental, chemical, and biological engineering, helping them better understand complex macroscopic systems and enhance their technical skills in theoretical and practical research. Covers the basic aspects of modeling, analysis, synthesis, and optimization of ecological systems Contains theory of selected ecosystems and explanations of how it can be used in applications Includes original drawings and drafts that illustrate the properties of diverse ecosystems Written by an expert in advanced methods of biophysics and macroscopic physics

Heat Conduction

Author : Vyacheslav Vikhrenko
Publisher : BoD – Books on Demand
ISBN 13 : 9533074043
Total Pages : 366 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Heat Conduction by : Vyacheslav Vikhrenko

Download or read book Heat Conduction written by Vyacheslav Vikhrenko and published by BoD – Books on Demand. This book was released on 2011-11-30 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The content of this book covers several up-to-date approaches in the heat conduction theory such as inverse heat conduction problems, non-linear and non-classic heat conduction equations, coupled thermal and electromagnetic or mechanical effects and numerical methods for solving heat conduction equations as well. The book is comprised of 14 chapters divided into four sections. In the first section inverse heat conduction problems are discuss. The first two chapters of the second section are devoted to construction of analytical solutions of nonlinear heat conduction problems. In the last two chapters of this section wavelike solutions are attained.The third section is devoted to combined effects of heat conduction and electromagnetic interactions in plasmas or in pyroelectric material elastic deformations and hydrodynamics. Two chapters in the last section are dedicated to numerical methods for solving heat conduction problems.