期刊
JOURNAL OF STATISTICAL PHYSICS
卷 154, 期 5, 页码 1191-1227出版社
SPRINGER
DOI: 10.1007/s10955-014-0933-y
关键词
Classical anharmonic chains; Equilibrium time correlations; KPZ scaling; Levy stable law
资金
- Fund For Math
With focus on anharmonic chains, we develop a nonlinear version of fluctuating hydrodynamics, in which the Euler currents are kept to second order in the deviations from equilibrium and dissipation plus noise are added. The required model-dependent parameters are written in such a way that they can be computed numerically within seconds, once the interaction potential, pressure, and temperature are given. In principle the theory is applicable to any one-dimensional system with local conservation laws. The resulting nonlinear stochastic field theory is handled in the one-loop approximation. Some of the large scale predictions can still be worked out analytically. For more details one has to rely on numerical simulations of the corresponding mode-coupling equations. In this way we arrive at detailed predictions for the equilibrium time correlations of the locally conserved fields of an anharmonic chain.
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