Table of Contents: “...On Positivity of Rate of Entropy in Quantum-Thermodynamics -- Entropy of Sequences Generated by Nonlinear Processes: The Logistic Map -- Developments in Normal and Gravitational Thermodynamics -- Extended Irreversible Thermodynamics: Statements...”

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Table of Contents: “... Entropy Surface -- Ensemble Inequivalence in Mean-Field Models of Magnetism -- Phase Transitions in Finite Systems -- Phase Transitions in Systems with 1/r ? Attractive Interactions -- Nonextensivity: From Low-Dimensional Maps to Hamiltonian Systems...”

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Table of Contents: “...The First Law -- Heat capacity, enthalpy and thermochemistry -- The Second and Third Laws : entropy -- Free energy -- Phase transitions -- Chemical equilibrium -- The statistical definition of entropy -- Connecting microscopic and macroscopic properties...”

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Table of Contents: “...1. Entropy and Principles -- 1.1 Preamble -- 1.2 Internal Energy and First Principle -- 1.3 Tensions and Extensities -- 1.4 Entropy and Second Principle -- 1.5 Entropy and Thermal Energy -- 2. Energies and Evolution Criteria -- 2.1 Internal Energy...”

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Table of Contents: “... and increasing entropy -- 2.3 Microcanonical distribution -- 2.4. Canonical distribution -- 2.5 The probability of a macrostate -- 2.6 Thermodynamic functions derived from a canonical distribution -- 2.7 Some molecular partition functions -- 2.8 Fluctuations -- 2.9...”

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Table of Contents: “... Thermodynamic Formulation -- B.4 Maximum-Entropy Approach -- References -- C. Summary of Vector and Tensor Notation -- D. Useful Integrals in the Kinetic Theory of Gases -- E. Some Physical Constants....”

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Table of Contents: “... Entropy Principle, and Evolution Equations -- IV. ComputationalMetho ds for the Simulation of Classical and Quantum Many Body Systems Arising from Nonextensive Thermostatistics -- Further Topics -- V. Correlation Induced by Nonextensivity and the Zeroth Law...”

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Table of Contents: “...1 Irreversible Thermodynamics -- 2 Nonequilibrium Statistical Operator Method -- 3 Informational Statistical Thermodynamics -- 4 Properties of the Informational Statistical Thermodynamic Entropy -- 4.1 Nonequilibrium Grand-Canonical Ensemble -- 4.2...”

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Table of Contents: “...Presentation of the Foundations of Thermodynamics in about Twelve One-Hour Lectures -- Pictorial Visualization of The Entropy of Thermodynamics -- Thermodynamic Optimization of Inanimate and Animate Flow Systems -- Constructal Flow Geometry Optimization...”

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Table of Contents: “...-Order Total-Variation Diminishing Schemes -- Annotation -- 1. A Comparative Study of Computational Methods in Cosmic Gas Dynamics -- 2. High Resolution Schemes and the Entropy Condition -- 3. Convergence of Generalized MUSCL Schemes -- 4. A Simplified TVD...”

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Table of Contents: “...Basic ideas -- Distinguishable particles -- Two examples -- Gases: the density of states -- Gases: the distributions -- Maxwell-Boltzmann gases -- Diatomic gases -- Fermi-Dirac gases -- Bose-Einstein gases -- Entropy in other situations -- Phase...”

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Table of Contents: “... chaotic systems -- Classical and quantum chaotic scattering -- From fractals to stochastic differential equations -- Dissipative structures and weak turbulence -- Entropy and quantum characteristic exponents. steps towards a quantum pesin theory -- Rigorous...”

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Table of Contents: “... -- Spurious entropy generation as a mesh quality indicator -- Dynamic mesh adaption for tetrahedral grids -- Extensive analysis and cross-comparisons of past and present numerical formulations for flow problems on unstructured meshes -- A time-accurate multigrid...”

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Table of Contents: “...I Thermodynamics -- 1. Equilibrium and State Quantifies -- 2. The Laws of Thermodynamics -- 3. Phase Transitions and Chemical Reactions -- 4. Thermodynamic Potentials -- II Statistical Mechanics -- 5. Number of Microstates ? and Entropy S -- 6. Ensemble...”

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Table of Contents: “... sequences -- Course 13 Random and automatic walks -- Course 14 Singular words, invertible substitutions and local isomorphisms -- Course 15 Entropy in deterministic and random systems -- Course 16 Trace maps -- Course 17 Schrödinger difference equation...”

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Table of Contents: “...Some remarks on -- Statistical mechanics and the maximum entropy method -- Irreversibility, probability and entropy -- Maximum entropy for random cellular structures -- Minimal Description Length modeling: an introduction -- An introduction to learning...”

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Table of Contents: “...1 Introduction -- 2 Classical Ergodic Theory -- 2.1 Irreversibility -- 2.2 Entropy -- 2.3 Topological Properties of Dynamical Systems -- 3 Algebraic Approach to Classical Ergodic Theory -- 3.1 Abelian C* Dynamical Systems -- 3.2 Abelian W* Dynamical...”

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