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CHAPTER 4 – The Thermodynamics of Irreversible Processes

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TLDR
The theory of transformations is a description of a particular class of irreversible processes and may appropriately be described as kinetic as discussed by the authors, which is a connection between the microscopic properties of the systems of the assembly and the macroscopic (measurable) properties is made by statistical mechanics.
Abstract
Classical thermodynamics is concerned primarily with the interdependence of certain well-defined macroscopic concepts (temperature, pressure, entropy, energy, composition, etc.) possessed by a closed assembly. The usual thermodynamic equations are valid only for assemblies at equilibrium and for reversible transitions among such equilibrated assemblies. When thermodynamic considerations are applied to irreversible (i.e. “natural”) processes, the equations become inequalities, and are much less useful. For example, the principle of increase in entropy during an adiabatic irreversible process provides information only about the direction of the change. The theory of transformations is a description of a particular class of irreversible processes. This type of theory is the main concern of this chapter and may appropriately be described as kinetic. The connection between the microscopic properties of the systems of the assembly and the macroscopic (measurable) properties is made by statistical mechanics. The thermodynamics of irreversible processes has also been applied to chemical reactions, though only in the limiting case of very close approach to equilibrium.

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Relativistic fluid dynamics: physics for many different scales

TL;DR: The mathematical and theoretical physics underpinnings of the relativistic (multiple) fluid model are discussed, including the variational principle approach championed by Brandon Carter and his collaborators, in which a crucial element is to distinguish the momenta that are conjugate to particle number density currents.
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Elastoplasticity beyond small deformations

TL;DR: In this article, an integrated viewpoint based on certain coherent threads running through various formulations of rate-independent elastoplasticity is presented, with a focus on new issues and new understanding, and on physically pertinent variables and formulations.
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Relativistic Brownian Motion

TL;DR: In this paper, a review of recent progress in the phenomenological description of relativistic diffusion processes is presented, with a summary of open questions, which may serve as a starting point for future investigations.
Book ChapterDOI

Multiscale Modeling: A Review

TL;DR: A review of multiscale modeling for structural components can be found in this article, where the authors provide a brief history of various multi-scale methodologies related to solid materials and the associated experimental influences.
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Relativistic Brownian motion

TL;DR: In this article, a review of recent progress in the phenomenological description of relativistic diffusion processes is presented, with a summary of open questions and a starting point for future investigations and extensions of the theory.
References
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Book

Physical properties of crystals

John F. Nye
TL;DR: In this paper, the physical properties of crystals systematically in tensor notation are presented, presenting tensor properties in terms of their common mathematical basis and the thermodynamic relations between them.
Journal ArticleDOI

Matter transport in solids

TL;DR: In this paper, the authors present a review of defect models applicable to different solids - metals, ionic solids, semiconductors and insulators - and discuss the statistical and thermodynamic description of these defect models.
Journal ArticleDOI

On the Reciprocal Relations of Onsager

TL;DR: In this article, it is shown that redefining forces and fluxes by linear combination yields a relation with a symmetric matrix, and that the rate of production of entropy is unchanged by the redefinition.