Nonequilibrium and Irreversibility

2013/11/30 by Giovanni Gallavotti · 98 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Artificial intelligence #Chaotic #Computer science #Fluctuation theorem #Mathematical economics #Mathematics #Non-equilibrium thermodynamics #Phase Equilibria and Thermodynamics #Physics #Quantum mechanics #Statistical Mechanics and Entropy #Statistical mechanics #Statistical physics #Theoretical physics #Work (physics) #cond-mat.stat-mech #math-ph #math.MP #nlin.CD

paper · pdf · doi:10.1007/978-3-319-06758-2

published in Theoretical and mathematical physics (Springer Nature) · XI+247 pages, latex, V.2 with new references and typos eliminated V.3 references added, further typos eliminated, style adjustments

openalex publication_date 2014/01/01 · arxiv created 2014/05/22 · arxiv updated 2014/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The booklet contain an overview on selected recent developments in nonequilibrium statistical mechanics and chaos theory: SRB distributions, chaotic hypothesis, fluctuation theorem, proposals for tests and applications to granular materials, fluidodynamics, irreversibility of quasi static processes. In appendices examples of the kind of technical work necessary for actual construction of nonequilibrium stationary states.

Citations

• A remark on the equivalence of isokinetic and isoenergetic thermostats in the thermodynamic limit
• On the Integrated Form of the BBGKY Hierarchy for Hard Spheres
• Chaotic dynamics, fluctuations, nonequilibrium ensembles
• Boltzmann Entropy for Dense Fluids Not in Local Equilibrium
• Fluidized Granular Medium as an Instance of the Fluctuation Theorem
• On the (Boltzmann) entropy of non-equilibrium systems
• Boltzmann's Entropy and Time's Arrow
• A unified formulation of the constant temperature molecular dynamics methods
• Thermodynamics of particle systems in the presence of external macroscopic fields
• GIBBS MEASURES IN ERGODIC THEORY
• Fluctuations of Internal Energy Flow in a Vibrated Granular Gas
• Extension of the Fluctuation Theorem
• Violation of the fluctuation–dissipation theorem in glassy systems: basic notions and the numerical evidence
• Deterministic Nonperiodic Flow
• A fluctuation theorem in a random environment
• Hamiltonian derivation of a detailed fluctuation theorem
• Fluctuation theorems for harmonic oscillators

Cited by

• Ergodicity: a historical perspective. Equilibrium and Nonequilibrium