Population-dynamics method with a multicanonical feedback control.
Population-dynamics method with a multicanonical feedback control.
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具有多规范反馈控制的群体动力学方法。
DOI：
10.1103/physreve.93.062123
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
V. Lecomte
中科院分区：
文献类型：
--
作者：
T. Nemoto;F. Bouchet;R. Jack;V. Lecomte
我们讨论了评估马尔可夫过程中时间平均量的大偏差的Giardinà-Kurchan-Peliti种群动力学方法[Phys.莱特牧师。96,120603(2006)PRLTAO0031-900710.1103/PhysRevLett.96.120603].这种方法的系统误差在某些情况下可能很大，特别是对于具有弱噪声、多自由度或接近动态相变的系统。我们展示了如何通过在算法中引入控制力来减轻这些错误。这些力是由迭代和反馈方案确定的，灵感来自平衡抽样中的多典范方法。我们在一个简单的模型中展示了显著改进的结果，并讨论了对更复杂系统的潜在应用。
We discuss the Giardinà-Kurchan-Peliti population dynamics method for evaluating large deviations of time-averaged quantities in Markov processes [Phys. Rev. Lett. 96, 120603 (2006)PRLTAO0031-900710.1103/PhysRevLett.96.120603]. This method exhibits systematic errors which can be large in some circumstances, particularly for systems with weak noise, with many degrees of freedom, or close to dynamical phase transitions. We show how these errors can be mitigated by introducing control forces within the algorithm. These forces are determined by an iteration-and-feedback scheme, inspired by multicanonical methods in equilibrium sampling. We demonstrate substantially improved results in a simple model, and we discuss potential applications to more complex systems.