发表机构
International Centre for Theoretical Sciences, Tata Institute of Fundamental Research（国际理论科学中心，塔塔基础研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过大规模牛顿模拟与基于密度、速度、温度三场构建的流体动力学框架相结合，定量验证了受限Riesz气体从微观到宏观演化的对应关系，并证明该涌现流体动力学描述在较宽的输运系数窗口内具有鲁棒性，为幂律相互作用系统建立了牛顿动力学与连续介质理论之间的桥梁。
AI 中文摘要
我们研究了Riesz气体（RG）的实时动力学，这是一个具有幂律相互作用的粒子范式系统，涵盖了多个多体相互作用的经典系统。虽然该系统的平衡性质已被广泛研究，但微观动力学、宏观演化和热化之间的联系在很大程度上仍未探索。通过将大规模牛顿模拟与基于三个粗粒化场——密度、速度和温度——构建的流体动力学框架相结合，我们建立了两种描述之间直接且定量的对应关系。流体动力学理论包含两个唯象输运系数：体黏度$\xi$和热导率$\kappa$，它们在宏观层面编码了耗散效应。通过分析代表性的初始条件类别，如穹顶型和牛顿摆型轮廓，我们发现微观演化与流体动力学演化在从相对早期直至达到稳态的广泛时间尺度上具有极好的一致性。值得注意的是，这种一致性在$\xi$和$\kappa$的较大窗口内持续存在，证明了涌现流体动力学描述的鲁棒性。我们的结果为RG中的流体动力学提供了系统验证，并从第一性原理出发，在具有幂律相互作用的系统中建立了牛顿动力学与连续介质理论之间的具体桥梁。
英文摘要
We investigate the real-time dynamics of the Riesz gas (RG), a paradigmatic system of particles with power-law interactions that encapsulates several many-body interacting classical systems. While the equilibrium properties of the system have been extensively studied the connection between microscopic dynamics, macroscopic evolution and thermalization has remained largely unexplored. Combining extensive large-scale Newtonian simulations with a hydrodynamic framework formulated in terms of three coarse grained fields -- density, velocity, and temperature -- we establish a direct and quantitative correspondence between the two descriptions. The hydrodynamic theory incorporates two phenomenological transport coefficients, the bulk viscosity $ξ$ and thermal conductivity $κ$, which encode dissipative effects at a macroscopic level. By analyzing representative classes of initial conditions, such as dome-like and Newton-cradle-type profiles, we find excellent agreement between microscopic and hydrodynamic evolution over a broad range of timescales, starting from relatively early all the way up to times at which steady state is attained. Notably, this agreement persists across a substantial window of $ξ$ and $κ$, demonstrating the robustness of the emergent hydrodynamic description. Our results provide a systematic validation of hydrodynamics in the RG and establish a concrete bridge between Newtonian dynamics and continuum theories in systems with power-law interactions, starting from first principles.
Comments7 pages, 3 figures
