摘要翻译:
我们给出了一个线性相互作用单元链在立方位势垒上从亚稳态的无噪声逃逸。潜在的动力是保守的,纯粹是确定性的。非线性与谐波相互作用之间的相互影响使原本均匀的晶格态变得不稳定,从而导致具有强局域性的能量重分布。结果,一个自发出现的局部模式成长为一个临界核。通过超越这个过渡状态,非线性链管理一个自组织的,确定性的障碍跨越。最引人注目的是,当链中每单位提供的平均能量与势垒能量之比为小值时,这些无噪声的集体非线性逃逸事件通常比热噪声辅助的跃迁进行得快得多。
---
英文标题:
《Self-organized escape of oscillator chains in nonlinear potentials》
---
作者:
D. Hennig, S. Fugmann, L. Schimansky-Geier, and P. H\"anggi
---
最新提交年份:
2007
---
分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
--
---
英文摘要:
We present the noise free escape of a chain of linearly interacting units from a metastable state over a cubic on-site potential barrier. The underlying dynamics is conservative and purely deterministic. The mutual interplay between nonlinearity and harmonic interactions causes an initially uniform lattice state to become unstable, leading to an energy redistribution with strong localization. As a result a spontaneously emerging localized mode grows into a critical nucleus. By surpassing this transition state, the nonlinear chain manages a self-organized, deterministic barrier crossing. Most strikingly, these noise-free, collective nonlinear escape events proceed generally by far faster than transitions assisted by thermal noise when the ratio between the average energy supplied per unit in the chain and the potential barrier energy assumes small values.
---
PDF链接:
https://arxiv.org/pdf/709.1859