摘要翻译:
我们研究了倾斜周期势下许多相互作用的布朗粒子。我们通过施加一个横向于倾斜方向的缓慢变化的势,数值测量了密度场的线性响应系数。在平衡情况下,线性响应系数与密度涨落强度有普遍的关系,称为涨落-响应关系。然后我们报告了数值证据,证明这种关系即使在非平衡情况下也成立。这一结果表明,当慢变势在横向于驱动力的方向上施加时,爱因斯坦密度涨落公式可以推广到驱动扩散系统。
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英文标题:
《A fluctuation-response relation of many Brownian particles under
non-equilibrium conditions》
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作者:
Takenobu Nakamura, Shin-ichi Sasa
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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:Soft Condensed Matter 软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
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英文摘要:
We study many interacting Brownian particles under a tilted periodic potential. We numerically measure the linear response coefficient of the density field by applying a slowly varying potential transversal to the tilted direction. In equilibrium cases, the linear response coefficient is related to the intensity of density fluctuations in a universal manner, which is called a fluctuation-response relation. We then report numerical evidence that this relation holds even in non-equilibrium cases. This result suggests that Einstein's formula on density fluctuations can be extended to driven diffusive systems when the slowly varying potential is applied in a direction transversal to the driving force.
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PDF链接:
https://arxiv.org/pdf/709.1843