论文标题
耦合的布朗谐波振荡器的还原方案
A reduction scheme for coupled Brownian harmonic oscillators
论文作者
论文摘要
我们提出了一个由两个耦合的布朗振荡器组成的系统的还原方案。我们通过构建一个较低的维度模型来减少描述，该模型继承了原始动力学的一些基本特征，并以合适的传输系数编写。提出的步骤是双重的：虽然动力学的确定性组成部分是通过直接应用不变歧管方法获得的，但扩散项是通过波动 - 散文定理确定的。我们将系数的行为强调为耦合参数的临界值，这标志着可用合同描述的间隔的终点。还讨论了对弱耦合方案的研究，并讨论了替代还原路径的通勤性。
We propose a reduction scheme for a system constituted by two coupled harmonically-bound Brownian oscillators. We reduce the description by constructing a lower dimensional model which inherits some of the basic features of the original dynamics and is written in terms of suitable transport coefficients. The proposed procedure is twofold: while the deterministic component of the dynamics is obtained by a direct application of the invariant manifold method, the diffusion terms are determined via the Fluctuation-Dissipation Theorem. We highlight the behavior of the coefficients up to a critical value of the coupling parameter, which marks the endpoint of the interval in which a contracted description is available. The study of the weak coupling regime is addressed and the commutativity of alternative reduction paths is also discussed.
