This work investigates a modified Schelling model within the scope and aims of Social Physics. The main purpose is to see if how the concepts of potential and kinetic energy can be represented within a computational sociological system. A monetary value is assigned to all the agents in the Monetary Schelling model and a set of dynamics for how the money is spent upon agent position changes and gradual loss. The introduction of the potential and kinetic energy allows for the entropy to be calculated based upon the distribution of the agent energies and as well as the internal energy of the system at each time point. The results show how the movements of the agents produce identity satisfactions with their neighbors decreasing the internal energy of the system along with the decay in the monetary holdings. Simulations are run where agents are provided monetary values at fixed intervals and this causes a subset of the agents to mobilize and explore new positions for satisfaction and increases the entropy with the internal energy removing the system from the fixed point.

翻译：本研究在社会物理学的范畴与目标下探讨了改进的Schelling模型，主要目的在于考察势能与动能概念如何在计算社会学系统中得以表征。货币化Schelling模型中所有智能体均被赋予货币价值，并建立了一套关于智能体位置变更与货币渐进消耗的动态机制。势能与动能的引入使得系统能够基于智能体能量分布计算熵值，以及各时间点的系统内能。结果表明，智能体的移动行为通过提升与邻域智能体的身份满意度降低了系统内能，同时伴随货币持有量的衰减。实验模拟中，当智能体以固定时间间隔获得货币补给时，部分智能体会被激活并探索新位置以寻求满意度提升，这一过程导致熵值增加，内能则使系统脱离固定点。