伊辛模型和二元溶液相变的数值模拟NUMERICAL SIMULATION OF PHASE TANSITIONS IN ISING MODEL AND BINARY SOLUTION MODEL
李梦源,李艳伟
摘要(Abstract):
物理的启蒙与学习往往是从观察物质三态变化开始的,这其中蕴含着相变这一自然界的常见现象,同时相变也是热学相关课程的重点内容。为了让相变具象化,以辅助理解与对比理论结果,本文围绕相变,设计与开展了伊辛模型及水油二元溶液模型相变过程的蒙特卡罗模拟。以可视化的形式展示了相变过程中系统的演化,跟踪了体系能量、比热、磁化率等相关物理量在相变过程中随温度变化的依赖规律,并获得体系的相转变点进而绘制了相图。讨论了体系尺寸对相变过程及相关物理量的影响。本文提供了可供本科生和研究生形象、直观地理解相变的数值实验方法,有望激发学生学习、理解及深入挖掘相变物理的积极性。
关键词(KeyWords): 相变;伊辛模型;水油二元溶液;蒙特卡罗模拟
基金项目(Foundation): 国家自然科学基金(12422501;12374204;12105012)资助
作者(Author): 李梦源,李艳伟
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