Energy Transfer in a Fast-Slow Hamiltonian System

被引：0
作者：
Dmitry Dolgopyat
Carlangelo Liverani
机构：
[1] University of Maryland,Department of Mathematics
[2] II Università di Roma (Tor Vergata),Dipartimento di Matematica
[3] Via della Ricerca Scientifica,undefined
来源：
Communications in Mathematical Physics | 2011年 / 308卷
关键词：
Manifold; Invariant Measure; Negative Curvature; Limit Equation; Martingale Problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a finite region of a lattice of weakly interacting geodesic flows on manifolds of negative curvature and we show that, when rescaling the interactions and the time appropriately, the energies of the flows evolve according to a nonlinear diffusion equation. This is a first step toward the derivation of macroscopic equations from a Hamiltonian microscopic dynamics in the case of weakly coupled systems.
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页码：201 / 225
页数：24
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