摘要翻译:
我们将定态功涨落定理推广到周期调制非线性系统。这类系统往往具有共存的稳定周期态。我们发现,在动力学相变附近,当态布居数接近时,功涨落急剧增加。在这里,功方差与州际切换的倒数速率成正比。我们还证明了方差随到分叉点的距离而变化,并找到了鞍结点分叉的临界指数。
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英文标题:
《Exponential peak and scaling of work fluctuations in modulated systems》
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作者:
M. I. Dykman
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最新提交年份:
2007
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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
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一级分类:Physics 物理学
二级分类:Mesoscale and Nanoscale Physics 介观和纳米物理
分类描述:Semiconducting nanostructures: quantum dots, wires, and wells. Single electronics, spintronics, 2d electron gases, quantum Hall effect, nanotubes, graphene, plasmonic nanostructures
半导体纳米结构:量子点、线和阱。单电子学,自旋电子学,二维电子气,量子霍尔效应,纳米管,石墨烯,等离子纳米结构
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英文摘要:
We extend the stationary-state work fluctuation theorem to periodically modulated nonlinear systems. Such systems often have coexisting stable periodic states. We show that work fluctuations sharply increase near a kinetic phase transition where the state populations are close to each other. The work variance is proportional here to the reciprocal rate of interstate switching. We also show that the variance displays scaling with the distance to a bifurcation point and find the critical exponent for a saddle-node bifurcation.
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PDF链接:
https://arxiv.org/pdf/707.4326