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- W145251019 abstract "We consider the simple exclusion process (SEP) on a cubic sublattice, Λ L ⊂ Z d , of size 2L + 1, with periodic boundary conditions. The dynamics is as follows. Let e denote one of the 2d possible directions in Z d . A particle in the site x, independently of the others, waits for an exponential time and jumps, with probability proportional to p e ≥ 0, to the site x + e, if it is empty; otherwise a particle stays in x and the process starts again. We denote by η x (τ) = 0,1 the number of particles in the site x at time τ and by L the generator of the process: L f = ∑b L b f, the sum running on the set of all oriented bonds b = (x,y) in Z d such that y − x = e and $$ {{L}_{b}}f = {{p}_{e}}{{eta }_{x}}left[ {fleft( {{{eta }^{b}}} right) - fleft( eta right)} right] $$(1)with $$ ({{n}^{b}})z = ({{n}^{{x,y}}})z = left{ {begin{array}{*{20}{c}} {{{eta }_{y}},} & {if} & {z = x} {{{eta }_{x}},} & {if} & {z = y} {{{eta }_{z}},} & {if} & {otherwise.} end{array} } right. $$It is convenient to choose the normalization p −e + p e = 2 for all e." @default.
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- W145251019 date "1994-01-01" @default.
- W145251019 modified "2023-10-18" @default.
- W145251019 title "Diffusive Limit of the Asymmetric Simple Exclusion: The Navier-Stokes Correction" @default.
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- W145251019 doi "https://doi.org/10.1007/978-1-4615-2460-1_5" @default.
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