• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

Nonergodic solutions of the generalized Langevin equation.

作者信息

Plyukhin A V

机构信息

Department of Mathematics, Saint Anselm College, Manchester, New Hampshire 03102, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 1):062102. doi: 10.1103/PhysRevE.83.062102. Epub 2011 Jun 16.

DOI:10.1103/PhysRevE.83.062102
PMID:21797422
Abstract

It is known that in the regime of superlinear diffusion, characterized by zero integral friction (vanishing integral of the memory function), the generalized Langevin equation may have nonergodic solutions that do not relax to equilibrium values. It is shown that the equation may have nonergodic (nonstationary) solutions even if the integral of the memory function is finite and diffusion is normal.

摘要

相似文献

1
Nonergodic solutions of the generalized Langevin equation.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 1):062102. doi: 10.1103/PhysRevE.83.062102. Epub 2011 Jun 16.
2
Nonergodic Brownian oscillator.非遍历布朗振荡器。
Phys Rev E. 2022 Jan;105(1-1):014121. doi: 10.1103/PhysRevE.105.014121.
3
Generalized Einstein relations and conditions for anomalous relaxation.广义爱因斯坦关系和反常弛豫的条件。
Phys Rev E. 2019 Nov;100(5-1):052149. doi: 10.1103/PhysRevE.100.052149.
4
Derivation of the generalized Langevin equation in nonstationary environments.非定常环境下的广义朗之万方程的推导。
J Chem Phys. 2011 Mar 21;134(11):114523. doi: 10.1063/1.3561065.
5
Approach to quantum Kramers' equation and barrier crossing dynamics.量子克莱默斯方程及势垒穿越动力学的研究方法。
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Feb;65(2 Pt 1):021109. doi: 10.1103/PhysRevE.65.021109. Epub 2002 Jan 23.
6
Intermediate dynamics between Newton and Langevin.牛顿动力学与朗之万动力学之间的中间动力学。
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Dec;74(6 Pt 1):061111. doi: 10.1103/PhysRevE.74.061111. Epub 2006 Dec 20.
7
Derivation of quantum langevin equation from an explicit molecule-medium treatment in interaction picture.在相互作用绘景中，从明确的分子 - 介质处理推导量子朗之万方程。
J Phys Chem A. 2005 Dec 22;109(50):11417-23. doi: 10.1021/jp053098i.
8
Dynamic reaction coordinate in thermally fluctuating environment in the framework of the multidimensional generalized Langevin equations.在多维广义朗之万方程框架下热涨落环境中的动力学反应坐标。
Phys Chem Chem Phys. 2010 Dec 21;12(47):15382-91. doi: 10.1039/c0cp00543f. Epub 2010 Oct 20.
9
Generalized quantum Fokker-Planck, diffusion, and Smoluchowski equations with true probability distribution functions.具有真实概率分布函数的广义量子福克-普朗克方程、扩散方程和斯莫卢霍夫斯基方程。
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 May;65(5 Pt 1):051106. doi: 10.1103/PhysRevE.65.051106. Epub 2002 May 3.
10
Dynamic arrest within the self-consistent generalized Langevin equation of colloid dynamics.胶体动力学自洽广义朗之万方程中的动态阻滞
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Oct;76(4 Pt 1):041504. doi: 10.1103/PhysRevE.76.041504. Epub 2007 Oct 22.