Replica symmetry breaking in trajectories of a driven Brownian particle
Replica symmetry breaking in trajectories of a driven Brownian particle
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驱动布朗粒子轨迹中的复制对称性破缺
DOI：
10.1103/physrevlett.115.080605
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Shin-ichi Sasa
中科院分区：
文献类型：
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作者：
Masahiko Ueda;Shin-ichi Sasa
我们研究了一个布朗粒子，它由一个服从有噪声的Burgers方程的场所驱动。我们证明了当粒子的初始位置固定时，系统在路径系综中表现出复制对称性的破缺。证明的关键一步是，具有修正边界条件的路径系综可以精确地映射到定向聚合物的正则系综上。
We study a Brownian particle passively driven by a field obeying the noisy Burgers’ equation. We demonstrate that the system exhibits replica symmetry breaking in the path ensemble with the initial position of the particle being fixed. The key step of the proof is that the path ensemble with a modified boundary condition can be exactly mapped onto the canonical ensemble of directed polymers.