半柔性聚合物中的双哈密顿系统作为强耦合系统
Bi-Hamiltonian in Semiflexible Polymers built upon Overdamping Process
AI总结：
本文提出基于斯莫卢霍维奇方程的非马尔可夫扩散过程，用于模拟半柔性聚合物中强耦合系统的记忆效应与碰撞衰减行为。
摘要：
量化感兴趣系统与其环境条件之间的相互作用，记忆效应将两个不同的哈密顿量的状态联系起来：一个是目标系统的哈密顿量，另一个是环境的哈密顿量。在本文中，我们提出了从斯莫卢霍维奇方程导出的扩散过程，该过程可以在非马尔可夫条件下推导出由记忆效应积分描述的演化过程。在随机热力学框架内，斯莫卢霍维奇图景证明了将扩散过程纳入运动方程中的方法，推导的结果使改写运动方程的粗粒化分子动力学模拟能够再现单壁碳纳米管在远离平衡条件下的碰撞衰减。数值实验对碰撞结果的确认表明，在平衡和远离平衡状态下，热量扩散可以补偿由两个哈密顿量之间的记忆效应产生的相关动量。
英文摘要：
Quantifying the interaction between a system of interest and its ambient conditions, the memory effect links the states of two distinct Hamiltonians: one for the target system and one for the environment. In this paper, we propose the diffusion process derived from the Smoluchowski equation that can derive the evolution process described by the memory effect integration in a non Markovian regime. The Smoluchowski picture, within the framework of stochastic thermodynamics, justifies a diffusion process incorporated into the equations of motion, and the result of the derivation enables a coarse-grained molecular dynamics simulation with the modified equation of motion to reproduce attenuation from collisions between single walled carbon nanotubes (SWCNTs) under far from equilibrium conditions. The results of the numerical experiments on the collision confirm that heat diffusion compensates for the correlated momentum arising from the memory effect between the two Hamiltonians in both equilibrium and far from equilibrium states.
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