Current Fluctuations in One Dimensional Diffusive Systems with a Step Initial Density Profile View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2009-12

AUTHORS

Bernard Derrida, Antoine Gerschenfeld

ABSTRACT

We show how to apply the macroscopic fluctuation theory (MFT) of Bertini, De Sole, Gabrielli, Jona-Lasinio, and Landim to study the current fluctuations of diffusive systems with a step initial condition. We argue that one has to distinguish between two ways of averaging (the annealed and the quenched cases) depending on whether we let the initial condition fluctuate or not. Although the initial condition is not a steady state, the distribution of the current satisfies a symmetry very reminiscent of the fluctuation theorem. We show how the equations of the MFT can be solved in the case of non-interacting particles. The symmetry of these equations can be used to deduce the distribution of the current for several other models, from its knowledge (Derrida and Gerschenfeld in J. Stat. Phys. 136, 1–15, 2009) for the symmetric simple exclusion process. In the range where the integrated current , we show that the non-Gaussian decay exp [−Qt3/t] of the distribution of Qt is generic. More... »

PAGES

978

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10955-009-9830-1

DOI

http://dx.doi.org/10.1007/s10955-009-9830-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1016829189


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