热力学回火性能的一般限制
Yutong Luo1,2, Yi-Zheng Zhen3,4, Xiangjing Liu2
1Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom.
Physical review. E
|December 20, 2023
概括
化可以找到系统最小值,但往往会卡在局部最小值中. 这项研究推断了回火性能的边界,揭示了系统更新和能量积累之间的权衡,以更好地实现全球最低发现.
科学领域:
- 统计力学 统计力学
- 计算物理 计算物理
- 优化算法 优化算法
背景情况:
- 化是一种广泛使用的优化技术,用于在复杂的景观中找到最小值.
- 然而,化往往会汇聚到局部最小值而不是所需的全球最小值,从而限制了其有效性.
研究的目的:
- 分析化在有限时间内取得大致成功的条件.
- 在最终系统状态和回火过程中的基本状态之间的距离上得出一个一般的边界.
主要方法:
- 将回火与随机热力学原理联系起来.
- 根据系统状态更新和累积的不平衡能量推导出一个边界.
- 分析这两个数量之间的权衡关系.
主要成果:
- 根据协议和景观属性,根据距离到地面状态的一般界限得出,取决于协议和景观属性.
- 在状态更新的数量和非平衡能量积累之间确定了一个权衡.
- 介绍了分析和物理限制这些数量的方法.
结论:
- 导出边界为评估回火性能提供了一个一般的框架.
- 这种方法适用于模拟和物理火实现.
- 了解权衡可以优化回火协议,以改善全球最低收率.
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