论文标题
耦合的langevin方程中的信息传输
Information transfer in coupled Langevin equations
论文作者
论文摘要
我们提供了一个基于随机热力学的通用公式，该公式描述了任意数量的耦合复合物值的兰格文方程之间的信息流。这允许描述振荡器复杂网络中信息的传输，从热平衡中，可以对多种物理，生物和人制造的系统进行建模。信息流包含与振幅差成正比的不一致的成分，并且与振荡器之间的相位差成正比，这取决于它们的同步。我们通过模拟两种耦合振荡器描述的自旋模型二极管的动力学来说明理论，该振荡器可以纠正信息，能量和自旋的流动。值得注意的是，该系统可以在损坏同步的状态下运行，并且没有能量净传输的不连贯信息流动。
We provide a general formula, based on stochastic thermodynamics, that describes the flow of information between an arbitrary number of coupled complex-valued Langevin equations. This permits to describe the transfer of information in complex networks of oscillators out of thermal equilibrium, that can model a multitude of physical, biological and man made systems. The information flow contains an incoherent component proportional to the amplitude difference and a coherent one proportional to the phase difference between the oscillators, which depends on their synchronisation. We illustrate the theory by simulating the dynamics of a spin-Seebeck diode, described by two coupled oscillators, that can rectify the flow of information, energy and spin. Remarkably, the system can operate in a regime where the synchronisation is broken and there is a flow of incoherent information without net transfer of energy.
