Topic

# Philosophy of thermal and statistical physics

About: Philosophy of thermal and statistical physics is a research topic. Over the lifetime, 329 publications have been published within this topic receiving 19755 citations.

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01 Jan 1960

TL;DR: The Canonical Formalism Statistical Mechanics in the Entropy Representation as mentioned in this paper is a generalization of statistical mechanics in the Helmholtz Representation, and it has been applied to general systems.

Abstract: GENERAL PRINCIPLES OF CLASSICAL THERMODYNAMICS. The Problem and the Postulates. The Conditions of Equilibrium. Some Formal Relationships, and Sample Systems. Reversible Processes and the Maximum Work Theorem. Alternative Formulations and Legendre Transformations. The Extremum Principle in the Legendre Transformed Representations. Maxwell Relations. Stability of Thermodynamic Systems. First--Order Phase Transitions. Critical Phenomena. The Nernst Postulate. Summary of Principles for General Systems. Properties of Materials. Irreversible Thermodynamics. STATISTICAL MECHANICS. Statistical Mechanics in the Entropy Representation: The Microanonical Formalism. The Canonical Formalism Statistical Mechanics in Helmholtz Representation. Entropy and Disorder Generalized Canonical Formulations. Quantum Fluids. Fluctuations. Variational Properties, Perturbation Expansions, and Mean Field Theory. FOUNDATIONS. Postlude: Symmetry and the Conceptual Foundations of Thermostatistics. Appendices. General References. Index.

2,484 citations

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01 Jan 1980

TL;DR: The Foundations of Statistical Mechanics 7. Equilibrium Statistical Mechanics 8. Order-Disorder Transitions and Renormalization Theory 9. Interacting Fluids 10. Hydrodynamic Processes near Equilbrium 11. Transport Theory 12.

Abstract: 1. Introduction 2. Introduction to Thermodynamics 3. The Thermodynamics of Phase Transitions 4. Elementary Probability Theory and Limit Theorems 5. Stochastic Dynamics and Brownian Motion 6. The Foundations of Statistical Mechanics 7. Equilibrium Statistical Mechanics 8. Order-Disorder Transitions and Renormalization Theory 9. Interacting Fluids 10. Hydrodynamic Processes near Equilbrium 11. Transport Theory 12. Nonequilibrium Phase Transitions Appendices

1,773 citations

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17 Aug 1998

TL;DR: In this article, the First Law of Thermodynamics and the Arrow of Time are combined with the Second Law of Time and the Gibbs Stability Theory to describe the Gibbs instability theory.

Abstract: I Historical Roots: From Heat Engines to Cosmology
1 Basic Concepts and the Law of Gases
2 The First Law of Thermodynamics
3 The Second Law of Thermodynamics and the Arrow of Time
4 Entropy in the Realm of Chemical Reactions
II Equilibrium Thermodynamics
5 Extremum Principles and General Thermodynamics Relations
6 Basic Thermodynamics of Gases, Liquids and Solids
7 Thermodynamics of Phase Change
8 Thermodynamics of Solutions
9 Thermodynamics of Chemical Transformations
10 Fields and Internal Degrees of Freedom
11 Thermodynamics of Radiation
III Fluctuations and Stability
12 The Gibbs Stability Theory
13 Critical Phenomena and Configurational Heat Capacity
14 Entropy Productions, Fluctuations and Small Systems
IV Linear Nonequilibrium Thermodynamics
15 Nonequilibrium Thermodynamics: The Foundations
16 Nonequilibrium Thermodynamics: The Linear Regime
17 Nonequilibrium Stationary State and Their Stability: Linear Regime
V Order Through Fluctuations
18 Nonlinear Thermodynamics
19 Dissipative Structures
20 Elements of Statistical Thermodynamics
21 Self-Organization and Dissipative Structures in Nature

1,182 citations

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TL;DR: In this article, the state of the art of nonequilibrium statistical thermodynamics from a single viewpoint is examined for physicists and physical chemists working in the fields of theoretical physics, molecular physics, physical chemistry, and chemical physics.

Abstract: : This book examines the state of the art of nonequilibrium statistical thermodynamics from a single viewpoint. The book is intended for physicists and physical chemists working in the fields of theoretical physics, molecular physics, physical chemistry, and chemical physics.

1,145 citations

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TL;DR: In this article, the authors present a theoretical framework for the thermodynamics of information based on stochastic thermodynamics and fluctuation theorems, review some recent experimental results, and present an overview of the state of the art in the field.

Abstract: By its very nature, the second law of thermodynamics is probabilistic, in that its formulation requires a probabilistic description of the state of a system. This raises questions about the objectivity of the second law: does it depend, for example, on what we know about the system? For over a century, much effort has been devoted to incorporating information into thermodynamics and assessing the entropic and energetic costs of manipulating information. More recently, this historically theoretical pursuit has become relevant in practical situations where information is manipulated at small scales, such as in molecular and cell biology, artificial nano-devices or quantum computation. Here we give an introduction to a novel theoretical framework for the thermodynamics of information based on stochastic thermodynamics and fluctuation theorems, review some recent experimental results, and present an overview of the state of the art in the field. The task of integrating information into the framework of thermodynamics dates back to Maxwell and his infamous demon. Recent advances have made these ideas rigorous—and brought them into the laboratory.

879 citations