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Ruelle's principle for turbulence leading to what is usually called the Sinai-Ruelle-Bowen distribution (SRB) is applied to the statistical mechanics of many particle systems in nonequilibrium stationary states. A specific prediction, obtained without the need to construct explicitly the SRB itself, is shown to be in agreement with a recent computer… (More)

We propose as a generalization of an idea of Ruelle's to describe turbulent fluid flow a chaotic hypothesis for reversible dissipative many particle systems in nonequilibrium stationary states in general. This implies an extension of the zeroth law of thermodynamics to non equilibrium states and it leads to the identification of a unique distribution µ… (More)

- Christian Beck, Ezechiel G D Cohen, Harry L Swinney
- Physical review. E, Statistical, nonlinear, and…
- 2005

Complex nonequilibrium systems are often effectively described by a "statistics of a statistics", in short, a "superstatistics". We describe how to proceed from a given experimental time series to a superstatistical description. We argue that many experimental data fall into three different universality classes: Chi2 superstatistics (Tsallis statistics),… (More)

- Sumiyoshi Abe, Christian Beck, Ezechiel G D Cohen
- Physical review. E, Statistical, nonlinear, and…
- 2007

A thermodynamiclike formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale variations of intensive variables of systems in nonequilibrium stationary states. Ordinary thermodynamics is recovered as a special case of the present theory, and corrections to it can systematically be… (More)

An attempt is made to clarify the difference between a theorem derived by Evans and Searles in 1994 on the statistics of trajectories in phase space and a theorem proved by the authors in 1995 on the statistics of fluctuations on phase space trajectory segments in a nonequilibrium stationary state. Recently a Fluctuation Theorem (FT) has been proved by the… (More)

- R van Zon, S Ciliberto, E G D Cohen
- Physical review letters
- 2004

Using recent fluctuation theorems from nonequilibrium statistical mechanics, we extend the theory for voltage fluctuations in electric circuits to power and heat fluctuations. They could be of particular relevance for the functioning of small circuits. This is done for a parallel resistor and capacitor with a constant current source for which we use the… (More)

A number of new relations between the KaplannYorke dimension, phase space contraction, transport coefficients and the maximal Lyapunov exponents are given for dissipative thermostatted systems, subject to a small but non-zero external field in a nonequilibrium stationary state. A condition for the exten-sivity of phase space dimension reduction is given. A… (More)

- A Baule, E G D Cohen
- Physical review. E, Statistical, nonlinear, and…
- 2009

We consider a particle, confined to a moving harmonic potential, under the influence of friction and external asymmetric Poissonian shot noise (PSN). We study the fluctuations of the work done to maintain this system in a nonequilibrium steady state. PSN generalizes the usual Gaussian noise and can be considered to be a paradigm of external noise, where… (More)

- H Touchette, E G D Cohen
- Physical review. E, Statistical, nonlinear, and…
- 2009

We complement and extend our work on fluctuations arising in nonequilibrium systems in steady states driven by Lévy noise [H. Touchette and E. G. D. Cohen, Phys. Rev. E 76, 020101(R) (2007)]. As a concrete example, we consider a particle subjected to a drag force and a Lévy white noise with tail index mu epsilon (0,2), and calculate the probability… (More)

- F. Bonetto, E. G. D. Cohen, C. Pugh
- 1998

For Hamiltonian systems subject to an external potential which in the presence of a thermostat will reach a nonequilibrium stationary state Dettmann and Morriss proved a strong conjugate pairing rule (SCPR) for pairs of Lyapunov exponents in the case of isokinetic (IK) stationary states which have a given kinetic energy. This SCPR holds for all initial… (More)