摘要翻译:
在平衡化学反应混合物中,存在的分子数目服从泊松分布。我们问一个非平衡反应网络的稳态什么时候也是如此,并得到了一个本质上完全的答案。特别地,我们证明了无论反应速率如何,具有一定拓扑特征的网络必然具有泊松分布。这种驱动系统也服从涨落耗散定理的模拟。我们的结果可能与生物系统有关,也可能与平衡概念如何应用于非平衡系统这一更大的问题有关。
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英文标题:
《Equilibrium-like behavior in far-from-equilibrium chemical reaction
networks》
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作者:
David K. Lubensky
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最新提交年份:
2008
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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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一级分类:Quantitative Biology 数量生物学
二级分类:Molecular Networks 分子网络
分类描述:Gene regulation, signal transduction, proteomics, metabolomics, gene and enzymatic networks
基因调控、信号转导、蛋白质组学、代谢组学、基因和酶网络
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英文摘要:
In an equilibrium chemical reaction mixture, the number of molecules present obeys a Poisson distribution. We ask when the same is true of the steady state of a nonequilibrium reaction network and obtain an essentially complete answer. In particular, we show that networks with certain topological features must have a Poisson distribution, whatever the reaction rates. Such driven systems also obey an analog of the fluctuation-dissipation theorem. Our results may be relevant to biological systems and to the larger question of how equilibrium concepts might apply to nonequilibrium systems.
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PDF链接:
https://arxiv.org/pdf/708.2953