The Einstein Relation for the KPZ Equation

被引:4
|
作者
Goncalves, Patricia [1 ,2 ]
Jara, Milton [3 ]
机构
[1] Pontificia Univ Catolica Rio de Janeiro, Dept Matemat, BR-22453900 Rio de Janeiro, RJ, Brazil
[2] Univ Minho, Ctr Matemat, CMAT, P-4710057 Braga, Portugal
[3] IMPA, BR-22460340 Rio De Janeiro, Brazil
关键词
KPZ equation; Gradient Kawasaki dynamics; Equilibrium fluctuations; Einstein relation; FLUCTUATIONS; PROBABILITY;
D O I
10.1007/s10955-014-1158-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In particular, we derive the second-order Einstein relation for the transport coefficient of the KPZ equation, in terms of the conserved quantity , the diffusion coefficient , the strength of the asymmetry and the static compressibility of the system chi.
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页码:1262 / 1270
页数:9
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