Fluctuation Theorem and Chaos
arXiv:0802.3694 · doi:10.1140/epjb/e2008-00137-6
Abstract
The heat theorem (i.e. the second law of thermodynamics or the existence of entropy) is a manifestation of a general property of hamiltonian mechanics and of the ergodic Hypothesis. In nonequilibrium thermodynamics of stationary states the chaotic hypothesis plays a similar role: it allows a unique determination of the probability distribution (called {\rm SRB} distribution on phase space providing the time averages of the observables. It also implies an expression for a few averages concrete enough to derive consequences of symmetry properties like the fluctuation theorem or to formulate a theory of coarse graining unifying the foundations of equilibrium and of nonequilibrium.
Basis for the plenary talk at StatPhys23 (Genova July 2007)
References in corpus (16)
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- An Extension of the Fluctuation Theorem
- Chaotic hypothesis: Extension of Onsager reciprocity to large fields and the chaotic hypothesis
- Note on Two Theorems in Nonequilibrium Statistical Mechanics
- Chaotic Hypothesis, Fluctuation Theorem and singularities
- Ergodicity, ensembles, irreversibility in Boltzmann and beyond
- SRB states and nonequilibrium statistical mechanics close to equilibrium
- Entropy, Thermostats and Chaotic Hypothesis
- Reversible Anosov diffeomorphisms and large deviations
- Fluctuation Relation beyond Linear Response Theory
- Heat and Fluctuations from Order to Chaos
- Is it possible to experimentally verify the fluctuation relation? A review of theoretical motivations and numerical evidence
- Test of the Fluctuation Relation in lagrangian turbulence on a free surface
- Fluctuation patterns and conditional reversibility in nonequilibrium systems
- Microscopic chaos and macroscopic entropy in fluids
- Fluctuations relation and external thermostats: an application to granular materials
Cited by in corpus (5)
- Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
- The effective temperature
- Refined Second Law of Thermodynamics for fast random processes
- Anomalies, absence of local equilibrium and universality in 1-d particles systems
- Emergence of equilibrium thermodynamic properties in quantum pure states. I. Theory