Microcanonical entropy and dynamical measure of temperature for systems with two first integrals

DOI10.1007/s10955-011-0200-4zbMath1219.82089arXiv1004.5480OpenAlexW2051211486MaRDI QIDQ548129

Roberto Franzosi

Publication date: 28 June 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.5480

zbMATH Keywords

statistical mechanics

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Many-body theory; quantum Hall effect (81V70) Statistical thermodynamics (82B30) Dynamical aspects of statistical mechanics (37A60)

Related Items (12)

Microcanonical entropy for classical systems ⋮ On the dispute between Boltzmann and Gibbs entropy ⋮ Anomalous transport in low-dimensional systems: a pedagogical overview ⋮ A microcanonical entropy correcting finite-size effects in small systems ⋮ Coupled transport in a linear-stochastic Schrödinger equation ⋮ Statistical mechanics of systems with negative temperature ⋮ Off-equilibrium Langevin dynamics of the discrete nonlinear Schrödinger chain ⋮ Topological origin of phase transitions in the absence of critical points of the energy landscape ⋮ Microcanonical entropy and dynamical measure of temperature for systems with two first integrals ⋮ Negative-temperature Fourier transport in one-dimensional systems ⋮ Localization transition in the discrete nonlinear Schrödinger equation: ensembles inequivalence and negative temperatures ⋮ Ergodicity: How Can It Be Broken?

Cites Work

• Unnamed Item
• Unnamed Item
• Microcanonical entropy and dynamical measure of temperature for systems with two first integrals
• Geometry and topology in Hamiltonian dynamics and statistical mechanics
• On the convexity of geometric functionals of level for solutions of certain elliptic partial differential equations
• Topology and phase transitions. I: Preliminary results
• Topology and phase transitions. II: Theorem on a necessary relation
• A geometric, dynamical approach to thermodynamics

This page was built for publication: Microcanonical entropy and dynamical measure of temperature for systems with two first integrals