We study reversible deterministic dynamics of classical charged particles on a lattice with hard-core interaction. It is rigorously shown that the system exhibits three types of transport phenomena, ranging from ballistic, through diffusive to insulating. By obtaining an exact expressions for the current time-autocorrelation function we are able to calculate the linear response transport coefficients, such as the diffusion constant and the Drude weight. Additionally, we calculate the long-time charge profile after an inhomogeneous quench and obtain diffusive profilewith the Green-Kubo diffusion constant. Exact analytical results are corroborated by Monte Carlo simulations.

中文翻译：

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确定性相互作用晶格系统中的扩散

我们研究具有硬核相互作用的晶格上经典带电粒子的可逆确定性动力学。严格地表明，该系统展现出三种类型的传输现象，从弹道，扩散到绝缘。通过获得当前时间自相关函数的精确表达式，我们能够计算线性响应传输系数，例如扩散常数和德鲁德权重。此外，我们计算了不均匀淬灭后的长时间电荷分布，并获得了具有Green-Kubo扩散常数的扩散分布。精确的分析结果得到了蒙特卡洛模拟的证实。