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19992023
most citedMacroscopic fluctuation theory

670 citations · 1.9k across the 63 of their papers we have counts for

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Showing 2006 · math.PRShow all

5 papers · 2 filters

math.PR2006★ 34 cited

Condensation for a fixed number of independent random variables

Pablo A. Ferrari, Claudio Landim, Valentin V. Sisko

A family of m independent identically distributed random variables indexed by a chemical potential ϕ\in[0,γ] represents piles of particles. As ϕincreases to γ, the mean number of p…

math.PR2006★ 1 cited

A lattice gas model for the incompressible Navier-Stokes equation

J. Beltrán, C. Landim

We recover the Navier-Stokes equation as the incompressible limit of a stochastic lattice gas in which particles are allowed to jump over a mesoscopic scale. The result holds in an…

math.PR2006★ 27 cited

Stationary and Nonequilibrium Fluctuations in Boundary Driven Exclusion Processes

Claudio Landim, Aniura Milanés, Stefano Olla

We prove nonequilibrium fluctuations for the boundary driven symmetric simple exclusion process. We deduce from this result the stationary fluctuations.

math.PR2006★ 1 cited

Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder

M. D. Jara, C. Landim

For a sequence of i.i.d. random variables $\{ξ_x : x\in \bb Z\}$ bounded above and below by strictly positive finite constants, consider the nearest-neighbor one-dimensional simple…

math.PR2006★ 58 cited

Large deviation approach to non equilibrium processes in stochastic lattice gases

L. Bertini, A. De Sole, D. Gabrielli +2

We present a review of recent work on the statistical mechanics of non equilibrium processes based on the analysis of large deviations properties of microscopic systems. Stochastic…