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Note on the Kaplan-Yorke dimension and linear transport coefficients
Denis J. Evans, E. G. D. Cohen, Debra J. Searles +1
A number of relations between the Kaplan-Yorke dimension, phase space contraction, transport coefficients and the maximal Lyapunov exponents are given for dissipative thermostatted…
Generalised Fluctuation Formula
Debra J Searles, Gary Ayton, Denis J Evans
We develop a General Fluctuation Formula for phase variables that are odd under time reversal. Simulations are used to verify the new formula.
Ensemble Dependence of the Transient Fluctuation Theorem
Debra J. Searles, Denis J. Evans
The Fluctuation Theorem gives an analytical expression for the probability of observing second law violating dynamical fluctuations, in nonequilibrium systems. At equilibrium stati…
On the Asymptotic Convergence of the Transient and Steady State Fluctuation Theorems
Gary Ayton, Denis J. Evans
Non-equilibrium molecular dynamics simulations are used to demonstrate the asymptotic convergence of the Transient and Steady State forms of the Fluctuation Theorem. In the case of…
The Fluctuation Theorem and Green-Kubo Relations
Debra J. Searles, Denis J. Evans
Green-Kubo and Einstein expressions for the transport coefficients of a fluid in a nonequilibrium steady state can be derived using the Fluctuation Theorem and by assuming the prob…
A Local Fluctuation Theorem
Gary Ayton, Denis J. Evans, Debra J. Searles
The Fluctuation Theorem (FT) gives an analytic expression for the probability, in a nonequilibrium system of finite size observed for a finite time, that the dissipative flux will…