Conformal Invariance in Driven Diffusive Systems at High Currents.
Conformal Invariance in Driven Diffusive Systems at High Currents.
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高电流驱动扩散系统的共形不变性。
DOI：
10.1103/physrevlett.118.030601
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发表时间：
2016
影响因子：
8.6
通讯作者：
G. Schütz
中科院分区：
文献类型：
--
作者：
D. Karevski;G. Schütz
我们考虑驱动扩散系统的时空相关性，该系统经历了一个波动，进入一个具有巨大电流或动力学活动的区域。对于一个单一的保守质量，我们表明，在一个空间维度的时空密度相关性是完全确定的共形场论与中心电荷c=1，对应于一个弹道普适性类与动力学指数z=1。一般的非典型行为的完整的相图表现出共形不变的制度，并为低电流或活动，相分离的区域。这两个政权之间的相变线对应于典型的行为和动力学属于Kardar-Parisi-Zhang普适类与动力学指数z=3/2，除了一个扩散点z=2。在最大电流极限下，从一维周期开边界非对称简单排斥过程得到了精确的普适动力学结构函数。
We consider space-time correlations in driven diffusive systems which undergo a fluctuation into a regime with an atypically large current or dynamical activity. For a single conserved mass we show that the spatiotemporal density correlations in one space dimension are fully determined by conformal field theory with central charge c=1, corresponding to a ballistic universality class with dynamical exponent z=1. The full phase diagram for general atypical behavior exhibits the conformally invariant regime and, for atypically low current or activity, a region of phase separation. The phase transition line between these two regimes corresponds to typical behavior and the dynamics belongs to the Kardar-Parisi-Zhang universality class with dynamical exponent z=3/2, except for a diffusive point with z=2. The exact universal dynamical structure function is obtained in explicit form from the one-dimensional asymmetric simple exclusion process with periodic and open boundaries in the limit of maximal current.
相互作用的布朗粒子的零温度限制，II._一维凝固。
DOI：
--
发表时间：
2004
期刊：
Ann. Probab. 32
影响因子：
--
作者：
Hiromitsu Suetani;Takehiko Horita;Shin Mizutani;T.Funaki
通讯作者：
T.Funaki