速度翻转模型的水动力极限
Hydrodynamic limit for the velocity flip model
摘要：
我们研究了$N$耦合振荡器链的扩散标度极限。为了使系统具有良好的遍历性，我们用速度的随机翻转扰动哈密顿动力学，使能量局部守恒。我们通过估计相对于局部平衡态的相对熵，用修正项修正，导出了流体力学方程。
英文摘要：
We study the diffusive scaling limit for a chain of $N$ coupled oscillators. In order to provide the system with good ergodic properties, we perturb the Hamiltonian dynamics with random flips of velocities, so that the energy is locally conserved. We derive the hydrodynamic equations by estimating the relative entropy with respect to the local equilibrium state modified by a correction term.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
