arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0810.1117cond-mat.stat-mech
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多规范算法、模拟回火、复制交换法等

Multicanonical Algorithm, Simulated Tempering, Replica-Exchange Method, and All That

Ayori Mitsutake, Yuko Okamoto

摘要:

我们讨论多维推广的多规范算法,模拟回火,复制交换方法。我们通过添加任何感兴趣的物理量$V$作为具有耦合常数$λ$的新能量项来推广原始势能函数$E_0$。然后,我们进行了多维multicanonical模拟,在$E_0$和$V$空间的随机行走实现。我们可以交替地执行多维模拟回火模拟,其中实现温度$T$和参数$λ$的随机游走。多维复制交换模拟的结果可用于确定这些多维多规范和模拟回火模拟的权重因子。

英文摘要:

We discuss multi-dimensional generalizations of multicanonical algorithm, simulated tempering, and replica-exchange method. We generalize the original potential energy function $E_0$ by adding any physical quantity $V$ of interest as a new energy term with a coupling constant $λ$. We then perform a multi-dimensional multicanonical simulation where a random walk in $E_0$ and $V$ space is realized. We can alternately perform a multi-dimensional simulated tempering simulation where a random walk in temperature $T$ and parameter $λ$ is realized. The results of the multi-dimensional replica-exchange simulations can be used to determine the weight factors for these multi-dimensional multicanonical and simulated tempering simulations.

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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