Langevin Dynamics with a Tilted Periodic Potential

被引：0

作者：

Gioia Carinci

Stephan Luckhaus

机构：

[1] University of Modena and Reggio Emilia,

[2] University of Leipzig,undefined

来源：

Journal of Statistical Physics | 2013年 / 151卷

关键词：

Langevin dynamics; Avalanche dynamics; Pathwise description; Stochastic differential equations; Dynamical systems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a Langevin equation for a particle moving in a periodic potential in the presence of viscosity γ and subject to a further external field α. For a suitable choice of the parameters α and γ the related deterministic dynamics yields heteroclinic orbits. In such a regime, in absence of stochastic noise both confined and unbounded orbits coexist. We prove that, with the inclusion of an arbitrarly small noise only the confined orbits survive in a sub-exponential time scale.

引用

页码：870 / 895

页数：25

共 22 条

[1]

Berglund N.(2002)Pathwise description of dynamic pitchfork bifurcations with additive noise Probab. Theory Relat. Fields 122 341-388

[2]

Gentz B.(2008)From ballistic to diffusive motion in periodic potentials J. Stat. Phys. 131 175-202

[3]

Hairer M.(1940)Brownian motion in a field of force and the diffusion model of chemical reactions Physica 7 284-378

[4]

Pavliotis G.A.(1970)On the supremum of a Gaussian process Sankhya A 32 369-L173

[5]

Kramers H.A.(2008)Diffusive transport in periodic potentials: underdamped dynamics Fluct. Noise Lett. 8 L155-184

[6]

Landau H.(2008)Multiple instabilities in Bi Phys. Rev. B 77 177-undefined

[7]

Shepp L.A.(2012)Ti J. Phys. Condens. Matter 24 undefined-undefined

[8]

Pavliotis G.A.(1979)O Z. Phys. B 35 undefined-undefined

[9]

Vogiannou A.(undefined): a ferroelectric beyond the soft-mode paradigm undefined undefined undefined-undefined

[10]

Perez-Mato J.M.(undefined)Magnetic superspace groups and symmetry constraints in incommensurate magnetic phases undefined undefined undefined-undefined

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