AI 中文总结
该研究构建非互易耦合的布朗二聚体模型，证明仅非互易相互作用可驱动系统远离平衡态，计算了弹簧零原长极限下的精确稳态量并将其映射至布朗回转，对有限原长弹簧的相关量进行数值计算。
AI 中文摘要
我们研究二维布朗二聚体的最小模型，该模型由两个过阻尼单体组成，被束缚在各向同性简谐势中，通过一条违背牛顿作用-反作用原理的非互易简谐弹簧相互耦合。我们证明，仅非互易相互作用就能在无任何外部时变驱动且仅与单一热库接触的情况下，将系统驱动至远离平衡态。对于弹簧零原长极限，我们明确计算了其精确稳态概率分布与电流，该极限最终将我们的模型映射至另一非平衡现象——布朗回转。对于有限原长弹簧，我们数值计算了这些量。
英文摘要
We consider the minimal model of a two dimensional Brownian dimer consisting of two overdamped monomers, trapped in an isotropic harmonic potential and mutually coupled by a non-reciprocal harmonic spring that violates Newton's action-reaction principle. We have shown that the non-reciprocal interaction alone can drive the system far from equilibrium, in the absence of any external time dependent drive and being in contact with a single thermal bath. The exact steady state probability distribution and current are explicitly calculated for the zero-rest-length limit of the spring, which eventually maps our model to another non-equilibrium phenomenon, called Brownian gyration. For a spring with finite rest length, these quantities are calculated numerically.
