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arXiv 0810.5491cond-mat.stat-mech
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时间轴上扩散过程的非平衡相变

Nonequilibrium phase transition in a spreading process on a timeline

Andre C. Barato, Haye Hinrichsen

摘要:

我们考虑一个非平衡过程的时间轴上的离散网站的非马尔可夫更新规则的方式,一个活跃的网站在时间t激活一个或几个网站在未来的时间t+dt。时间间隔dt代数分布为dt^(-1-kappa),其中0<kappa<1是控制参数。根据激活率,该系统显示非平衡相变,这可以解释为定向渗流过渡驱动的时间Levy飞行在零空间维度的限制。的临界性能进行了研究,通过广泛的数值模拟和比较与场论预测。

英文摘要:

We consider a nonequilibrium process on a timeline with discrete sites which evolves by a non-Markovian update rule in such a way that an active site at time t activates one or several sites in the future at time t+dt. The time intervals dt are distributed algebraically as dt^(-1-kappa), where 0<kappa<1 is a control paramter. Depending on the activation rate, the system display a nonequilibrium phase transition which may be interpreted as directed percolation transition driven by temporal Levy flights in the limit of zero space dimensions. The critical properties are investigated by extensive numerical simulations and compared with field-theoretic predictions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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