Domain wall propagation and nucleation in a metastable two-level system.
Domain wall propagation and nucleation in a metastable two-level system.
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亚稳态两能级系统中的畴壁扩展和成核。
DOI：
10.1103/physreve.70.031105
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
A. Svane
中科院分区：
文献类型：
--
作者：
H. Fogedby;J. Hertz;A. Svane
我们提出了一个动力学描述和分析的非平衡态转变的噪声一维金斯堡-朗道方程的广泛的系统的基础上弱噪声正则相空间制定的Freidlin-Wentzel或Martin-Siggia-Rose方法。我们推导出传播的非线性域壁或孤立子的解决方案所产生的正则场方程叠加扩散模式。转变路径的特征在于畴壁的成核和随后的扩展。我们讨论了一般的开关方案中的传播域壁的稀释气体和评估的Arkriius因子在相关的行动。我们发现最近的数值优化研究非常一致。
We present a dynamical description and analysis of nonequilibrium transitions in the noisy one-dimensional Ginzburg-Landau equation for an extensive system based on a weak noise canonical phase space formulation of the Freidlin-Wentzel or Martin-Siggia-Rose methods. We derive propagating nonlinear domain wall or soliton solutions of the resulting canonical field equations with superimposed diffusive modes. The transition pathways are characterized by the nucleation and subsequent propagation of domain walls. We discuss the general switching scenario in terms of a dilute gas of propagating domain walls and evaluate the Arrhenius factor in terms of the associated action. We find excellent agreement with recent numerical optimization studies.