非线性加速随机浴四次FPUT模型的热化
Nonlinearity accelerates the thermalization of the quartic FPUT model with stochastic baths
摘要：
研究了强耦合四次Fermi-Pasta-Ulam-Tsingou（FPUT）模型在链端加入Langevin浴的平衡过程.通过大量的数值模拟的系统的时间演化进行了研究，并显示出符合预期的结果从平衡统计力学在时间渐近极限。在增加非线性耦合时，能谱的热化显示出有利于小尺度高频模式的增加的不对称性，其比大尺度低频模式松弛得更快。的全球平衡时间被发现与系统的大小呈线性比例，并表现出幂律衰减的非线性和温度的强度。非线性相互作用增加了模间的能量分布，从而加速了热化过程。
英文摘要：
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.
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