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在具有多方向跳跃的高维格子模型中的通用功率规律
Animesh Hazra1, Tanmoy Chakraborty1, Anirban Mukherjee1,2
1S. N. Bose National Centre for Basic Sciences, Department of Physics of Complex Systems, Block-JD, Sector-III, Salt Lake, Kolkata 700106, India.
Physical review. E
|November 18, 2025
概括
在具有多方向跳跃的网格上保存质量传输表现出功率定律相关性,甚至远离相变. 这种代数的衰变源于同时向多个方向的质量运动,破坏了详细的平衡.
科学领域:
- 统计力学 统计力学
- 凝聚物质物理学 凝聚物质物理学
- 复杂的系统复杂的系统.
背景情况:
- 保存质量的运输模型对于理解扩散和相位过渡至关重要.
- 详细的平衡是物理过程中常见的假设,但其违反可能导致新的现象.
- 多方向跳跃为晶格系统中的粒子运动提供了一个新的机制.
研究的目的:
- 在d维的超立方格上研究保守质量运输过程中的相关函数.
- 确定多向跳跃产生的相关性 (强度定律或短距离) 的性质.
- 解释像无序超均物质这样的系统中长距离相关性的出现.
主要方法:
- 利用水力动力学理论和精确的微观理论.
- 用多方向跳跃分析连续时间的马尔科夫过程.
- 计算稳定状态静态密度-密度和活动密度相关函数.
主要成果:
- 对于维度d>1.1.的通用参数值,表现出衰减为~1/r^(d+2的权力定律相关性.
- 这些相关性的强度是由扩散系数和Onsager矩阵决定的.
- 一个受限制的参数模式显示了短期的相关性.
结论:
- 在保存质量的运输系统中,多方向跳跃本质上导致力量法相关性,破坏了详细的平衡.
- 这些发现为在特定物理系统中观察到的长距离相关性提供了理论解释.
- 该研究强调了在统计物理学中考虑非详细平衡动态的重要性.
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