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A Gallavotti–Cohen-Type Symmetry in the Large Deviation Functional for Stochastic Dynamics

- J. Lebowitz, H. Spohn
- Mathematics, Physics
- 16 November 1998

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… Expand

TIME SYMMETRY IN THE QUANTUM PROCESS OF MEASUREMENT

- Y. Aharonov, P. Bergmann, J. Lebowitz
- Physics
- 22 June 1964

Statistical mechanics of the nonlinear Schrödinger equation

- J. Lebowitz, H. Rose, E. Speer
- Mathematics
- 1 February 1988

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… Expand

Metastability effects in bootstrap percolation

- M. Aizenman, J. Lebowitz
- Mathematics
- 7 October 1988

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… Expand

Exact Large Deviation Function in the Asymmetric Exclusion Process

- B. Derrida, J. Lebowitz
- Physics
- 12 January 1998

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… Expand

Some rigorous results on the Sherrington-Kirkpatrick spin glass model

- M. Aizenman, J. Lebowitz, D. Ruelle
- Physics
- 1 March 1987

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}))… Expand

Boltzmann's Entropy and Time's Arrow

- J. Lebowitz
- Physics
- 1 September 1993

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,… Expand

GHS and other inequalities

- J. Lebowitz
- Mathematics
- 1 June 1974

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… Expand

Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition

- J. Lebowitz, O. Penrose
- Physics
- 1966

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… Expand

Properties of a Harmonic Crystal in a Stationary Nonequilibrium State

- Z. Rieder, J. Lebowitz, E. Lieb
- Physics
- 1 May 1967

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… Expand

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