论文标题
带有冷和热成分的二维布朗旋转仪的有效温度的时间依赖性
Time-dependence of the effective temperatures of a two-dimensional Brownian gyrator with cold and hot components
论文作者
论文摘要
我们考虑了二维分子机的模型（称为Brownian Gyrator），该模型由两个坐标组成，分别在温度下分别在温度下分离$ T_X $和$ T_Y $。我们考虑一个组件是被动的极限，因为它的浴缸是“冷”，$ t_x \ to 0 $，而第二个则与“热”浴室接触，$ t_y> 0 $，因此它以随机运动的形式吸引了被动组件。我们得出不对称关系作为时间的函数，从中可以获得两个组件的时间依赖性有效温度。我们发现，被动元件的有效温度趋向于恒定值，这是$ t_y $的一部分，而驾驶组件的有效温度无界限，实际上是及时的，随着稳态接近。
We consider a model of a two-dimensional molecular machine - called Brownian gyrator - that consists of two coordinates coupled to each other and to separate heat baths at temperatures respectively $T_x$ and $T_y$. We consider the limit in which one component is passive, because its bath is "cold", $T_x \to 0$, while the second is in contact with a "hot" bath, $T_y > 0$, hence it entrains the passive component in a stochastic motion. We derive an asymmetry relation as a function of time, from which time dependent effective temperatures can be obtained for both components. We find that the effective temperature of the passive element tends to a constant value, which is a fraction of $T_y$, while the effective temperature of the driving component grows without bounds, in fact exponentially in time, as the steady-state is approached.
