Maximum Dissipation Non-Equilibrium Thermodynamics and Its Geometric Structure

By: Henry W. Haslach Jr

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Hardcover | 25 January 2011

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Hardcover
312 Pages

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23.5 x 15.88 x 2.54

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Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure explores the thermodynamics of non-equilibrium processes in materials. The book develops a general technique created in order to construct nonlinear evolution equations describing non-equilibrium processes, while also developing a geometric context for non-equilibrium thermodynamics. Solid materials are the main focus in this volume, but the construction is shown to also apply to fluids. This volume also: â¢ Explains the theory behind thermodynamically-consistent construction of non-linear evolution equations for non-equilibrium processes â¢ Provides a geometric setting for non-equilibrium thermodynamics through several standard models, which are defined as maximum dissipation processes â¢ Emphasizes applications to the time-dependent modeling of soft biological tissue Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure will be valuable for researchers, engineers and graduate students in non-equilibrium thermodynamics and the mathematical modeling of material behavior.

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"The author presents his construction of a geometric model for non-equilibrium thermodynamics and his maximum dissipation criterion which is assumed to complement the second law of thermodynamics. ... the author explores different concrete situations where his construction of a maximum dissipation criterion may be applied. ... This book will be interesting for researchers involved either in applied mathematics or in mechanics." (Alain Brillard, Zentralblatt MATH, Vol. 1222, 2011)

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