微观和纳米系统在弱记忆模式中的动态
1University of Nottingham, University of Nottingham, School of Physics and Astronomy, Nottingham, NG7 2RD, United Kingdom and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, Nottingham, NG7 2RD, United Kingdom.
Physical review letters
|February 10, 2025
概括
在小型系统中,记忆效应源于复杂的相互作用. 这项研究将马尔科夫近似扩展到弱记忆模式,使得非局部时间演化方程的准确描述成为可能.
科学领域:
- 物理 物理学 物理
- 统计力学 统计力学
- 理论物理 理论物理
背景情况:
- 记忆效应在小规模系统中很常见.
- 这些效应源于可访问和不可访问的自由度之间的相互作用.
- 标准马尔科夫近似在时间尺度明显相隔时恢复局部性.
研究的目的:
- 严格地将马尔科夫近似扩展到一个弱记忆模式.
- 为描述非局部时间演变方程中的记忆效应提供一个统一的框架.
- 为局部近似推导出误差边界和一个收扰动方案.
主要方法:
- 标准马尔科夫近似的扩展.
- 导出局部近似的显式误差极限.
- 一个融合扰动方案的开发.
主要成果:
- 马尔科夫近似可以严格地扩展到弱记忆模式.
- 对局部近似的误差有明确的界限.
- 提出了一个用于构建局部近似的收扰动方案.
结论:
- 开发的理论为描述记忆效应提供了一个统一的框架.
- 它适用于任何自主和线性非局部时间演变方程.
- 这项工作提供了一个系统的方法来处理各种物理系统中的记忆效应.
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