论文标题
非线性可以加速使用随机浴的四分之一fput模型的热化
Nonlinearity accelerates the thermalization of the quartic FPUT model with stochastic baths
论文作者
论文摘要
我们通过将langevin Baths添加到链的末端，研究了强耦合四分之一的Fermi-Pasta-tsingou（fput）模型的平衡过程。通过广泛的数值模拟研究了系统的时间演变，并证明在时间 - 杂质极限中与均衡统计力学预期的结果相匹配。在增加非线性耦合后，能量光谱的热化表现出越来越多的不对称性，而有利于小规模的高频模式，它们的放松速度明显快于大型，低频的速度。发现全局平衡时间与系统大小线性扩展，并显示出具有非线性和温度强度的幂律衰减。非线性相互作用增加了模式之间的能量分布，从而加快了热化过程。
We investigate the equilibration process of the strongly coupled quartic Fermi-Pasta-Ulam-Tsingou (FPUT) model by adding Langevin baths to the ends of the chain. The time evolution of the system is investigated by means of extensive numerical simulations and shown to match the results expected from equilibrium statistical mechanics in the time-asymptotic limit. Upon increasing the nonlinear coupling, the thermalization of the energy spectrum displays an increasing asymmetry in favour of small-scale, high-frequency modes, which relax significantly faster than the large-scale, low-frequency ones. The global equilibration time is found to scale linearly with system size and shown to exhibit a power-law decay with the strength of the nonlinearity and temperature. Nonlinear interaction adds to energy distribution among modes, thus speeding up the thermalization process.
