Defaveri Lucianno, Anteneodo Celia
Department of Physics, PUC-Rio, Rio de Janeiro, 22453-900 RJ, Brazil.
Institute of Science and Technology for Complex Systems, Rio de Janeiro, Brazil.
Phys Rev E. 2021 Jul;104(1-1):014106. doi: 10.1103/PhysRevE.104.014106.
We consider a system consisting of two interacting classical particles, each one subject to an on-site potential and to a Langevin thermal bath. We analytically calculate the heat current that can be established through the system when the bath temperatures are different, for weak nonlinear forces. We explore the conditions under which the diode effect emerges when inverting the temperature difference. Despite the simplicity of this two-particle diode, an intricate dependence on the system parameters is put in evidence. Moreover, behaviors reported for long chains of particles can be extracted, for instance, the dependence of the flux with the interfacial stiffness and type of forces present, as well as the dependencies on the temperature required for rectification. These analytical results can be a tool to foresee the distinct role that diverse types of nonlinearity and asymmetry play in thermal conduction and rectification.
我们考虑一个由两个相互作用的经典粒子组成的系统，每个粒子都受到一个局域势和一个朗之万热浴的作用。对于弱非线性力，我们解析地计算了当热浴温度不同时通过该系统可建立的热流。我们探讨了在反转温差时出现二极管效应的条件。尽管这个双粒子二极管很简单，但它对系统参数的复杂依赖性却很明显。此外，还可以提取出长粒子链所表现出的行为，例如通量与界面刚度和存在的力的类型的依赖性，以及整流所需温度的依赖性。这些解析结果可以作为一个工具，来预见不同类型的非线性和不对称性在热传导和整流中所起的不同作用。
