网络哈密顿模型中的运动自由度
Motional Degrees of Freedom in Network Hamiltonian Models
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中文总结 AI 辅助
本文针对网络哈密顿模型（NHMs），提出二、三、四体相互作用的运动自由度项规范，发现此类项可使最小系统在低温下凝聚为小液滴状结构，完善了NHMs对运动自由度的间接建模方式。
中文摘要 AI 辅助
网络哈密顿模型（NHMs）为建模相互作用粒子的聚集提供了高效框架，例如蛋白质凝聚成凝胶状、低聚或原纤维状态，该模型将系统表示为网络，其边代表结合相互作用。网络哈密顿中的项代表控制聚集行为的多体相互作用，且通过拓扑自由度指定。由于运动自由度未在NHM中明确表示，必须通过向哈密顿引入对应项来间接考虑其影响。本文描述了代表二体、三体和四体相互作用的运动自由度的项的规范，还考虑了这些项对仅由二体边势控制的最小系统的聚集状态的影响，结果显示三体和四体相互作用在低温下有利于系统凝聚成小液滴状结构。
英文摘要
Network Hamiltonian Models (NHMs) provide an efficient framework for modeling the aggregation of interacting particles (e.g., the condensation of proteins into gel-like, oligomeric, or fibrillar states), representing the system as a network whose edges represent bound interactions. Terms within the network Hamiltonian represent multi-body interactions governing aggregation behavior, and are specified via topological degrees of freedom. Because motional degrees of freedom are not explicitly represented within the NHM, their influence must be indirectly accounted for by introduction of corresponding terms to the Hamiltonian. Here, we describe specifications for terms representing motional degrees of freedom of two, three, and four-body interactions. We also consider the impact of these terms on the aggregation states of a minimal system governed only by a pairwise edge potential, showing that three and four-body interactions favor condensation of the system into small droplet-like structures at low temperature.
