发表机构
Department of Physics, Faculty of Science, İstanbul University（伊斯坦布尔大学理学院物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出动力学陷阱-扩散模型，通过温度控制参数调节货币交换，生成温度依赖的帕累托指数，解释不同经济条件下的收入分布变化。
AI 中文摘要
在本研究中，我们提出了一个动力学陷阱-扩散模型来描述货币交换系统中帕累托分布的出现。利用动力学蒙特卡洛模拟，我们表明帕累托指数明确依赖于温度，并取值在$0.5 \leq \nu(T) \leq 1.5$范围内。在当前框架中，温度$T$作为控制参数，通过热激活扩散调节交换动力学。与传统的动力学交换模型（其中帕累托指数由微观规则固定）不同，所提出的模型生成一系列随$T$变化的帕累托指数。温度依赖的帕累托指数构成了所提出的动力学陷阱-扩散框架的核心新颖性。这一特性为不同国家和经济条件下经验观察到的帕累托指数变化提供了自然解释。此外，零财富代理人的比例和基尼指数对温度表现出非单调依赖，揭示了由陷阱和货币流动性竞争产生的不同动力学机制。在强烈非均匀初始条件下，帕累托型平稳分布的持续性进一步支持了所提出机制的稳健性。这些结果表明，不同的帕累托尾部和不等式机制可以通过单一控制参数的变化从相同的陷阱-扩散动力学中涌现。
英文摘要
In this study, we propose a kinetic trap--diffusion model to describe the emergence of Pareto distributions in money-exchange systems. Using kinetic Monte Carlo simulations, we show that the Pareto exponent depends explicitly on temperature and takes values in the range $0.5 \leq ν(T) \leq 1.5$. In the present framework, the temperature $T$ acts as a control parameter that regulates the exchange dynamics through thermally activated diffusion. Unlike conventional kinetic exchange models, where the Pareto exponent is fixed by microscopic rules, the proposed model generates a range of Pareto exponents as a function of $T$. The temperature-dependent Pareto exponent constitutes the central novelty of the proposed kinetic trap--diffusion framework. This feature provides a natural explanation for the empirically observed variations in Pareto exponents across different countries and economic conditions. In addition, the fraction of zero-wealth agents and the Gini index exhibit a non-monotonic dependence on temperature, revealing distinct dynamical regimes arising from the competition between trapping and money mobility. The persistence of the Pareto-like stationary distribution under strongly nonuniform initial conditions further supports the robustness of the proposed mechanism. These results show that different Pareto-tail and inequality regimes can emerge from the same trap--diffusion dynamics through changes in a single control parameter
Commentshttps://doi.org/10.1016/j.physa.2026.132084
DOI：10.1016/j.physa.2026.132084
