 96219 C. Landim and H.T. Yau
 Fluctuationdissipation equation of
asymmetric simple exclusion processes
(281K, ps)
May 21, 96

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Abstract. We consider asymmetric simple exclusion processes on the lattice
$\Bbb Z^d$ in dimension $d\ge 3$.
We denote by $L$ the generator
of the process, $\nabla$ the lattice
gradient, $\eta$ the configuration, and
$w$ the current of the dynamics
associated to the conserved quantity. We prove that the
fluctuationdissipation equation
$w = L u + D \nabla \eta $
has a solution for some function $u$ and some constant $D$
identified to be the diffusion coefficient.
Intuitively, $Lu$ represents rapid fluctuation and
this equation describes a decomposition of the
current into fluctuation and gradient of the density field, representing
the dissipation.
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