单扇形约束下方形阱和方形肩盘的精确平衡特性

IF 2.4 3区物理与天体物理 Q1 Mathematics

Physical review. E Pub Date : 2024-08-02 DOI:10.1103/physreve.110.024601

Ana M. Montero, Andrés Santos

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引用次数: 0

摘要

本研究采用一种映射技术，将原始系统转化为一维多分散非加性棒混合物，从而研究了单排密闭方形井和方肩盘的（纵向）热力学和结构特征。利用标准统计力学技术，得出了关键属性的精确结果，包括状态方程、内能、径向分布函数和结构因子。探讨了径向分布函数的渐近行为，揭示了空间相关性的结构变化。此外，还给出了第二维里系数的精确分析表达式。我们的蒙特卡罗模拟验证了热力学和结构特性的理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Exact equilibrium properties of square-well and square-shoulder disks in single-file confinement

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Exact equilibrium properties of square-well and square-shoulder disks in single-file confinement

This study investigates the (longitudinal) thermodynamic and structural characteristics of single-file confined square-well and square-shoulder disks by employing a mapping technique that transforms the original system into a one-dimensional polydisperse mixture of nonadditive rods. Leveraging standard statistical-mechanical techniques, exact results are derived for key properties, including the equation of state, internal energy, radial distribution function, and structure factor. The asymptotic behavior of the radial distribution function is explored, revealing structural changes in the spatial correlations. Additionally, exact analytical expressions for the second virial coefficient are presented. The theoretical results for the thermodynamic and structural properties are validated by our Monte Carlo simulations.

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来源期刊

Physical review. E 物理-物理：流体与等离子体

CiteScore

4.60

自引率

16.70%

发文量

审稿时长

3.3 months

期刊介绍： Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.