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A Gallavotti–Cohen-Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
We extend the work of Kurchan on the Gallavotti–Cohen fluctuation theorem, which yields a symmetry property of the large deviation function, to general Markov processes. These include jump processes
Statistical mechanics of the nonlinear Schrödinger equation
AbstractWe investigate the statistical mechanics of a complex fieldø whose dynamics is governed by the nonlinear Schrödinger equation. Such fields describe, in suitable idealizations, Langmuir waves
Metastability effects in bootstrap percolation
Bootstrap percolation models, or equivalently certain types of cellular automata, exhibit interesting finite-volume effects. These are studied at a rigorous level. The authors find that for an
Exact Large Deviation Function in the Asymmetric Exclusion Process
By an extension of the Bethe ansatz method used by Gwa and Spohn, we obtain an exact expression for the large deviation function of the time averaged current for the fully asymmetric exclusion
Some rigorous results on the Sherrington-Kirkpatrick spin glass model
We prove that in the high temperature regime (T/J>1) the deviation of the total free energy of the Sherrington-Kirkpatrick (S-K) spin glass model from the easily computed log Av(Z N ({βJ}))
Boltzmann's Entropy and Time's Arrow
Given the success of Ludwig Boltzmann's statistical approach in explaining the observed irreversible behavior of macroscopic systems in a manner consistent with their reversible microscopic dynamics,
GHS and other inequalities
We use a transformation due to Percus to give a simple derivation of the Griffiths, Hurst, and Sherman, and some other new inequalities, for Ising ferromagnets with pair interactions. The proof makes
Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition
Rigorous upper and lower bounds are obtained for the thermodynamic free‐energy density a(ρ, γ) of a classical system of particles with two‐body interaction potential q(r) + γνφ(γr) where ν is the
Properties of a Harmonic Crystal in a Stationary Nonequilibrium State
The stationary nonequilibrium Gibbsian ensemble representing a harmonic crystal in contact with several idealized heat reservoirs at different temperatures is shown to have a Gaussian r space