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在良好的一般化朗格温方程中,厄尔戈迪性破解.
Giuseppe Procopio1, Chiara Pezzotti1, Massimiliano Giona1
1Sapienza Università di Roma, Dipartimento di Ingegneria Chimica, Materiali, Ambiente La , Via Eudossiana 18, 00184 Roma, Italy.
Physical review. E
|April 18, 2025
概括
在通用朗格温方程 (GLEs) 中的ergodicity破裂是由消散稳定性和随机可实现性边界解释的. 如果库博的波动-分散理论成立,这种现象在粘性弹性流体中是不存在的.
科学领域:
- 统计力学 统计力学
- 类风病学 类风病学 类风病学
- 非平衡的物理 物理学
背景情况:
- 一般化朗格温方程 (GLEs) 对于模拟具有记忆效应的复杂系统至关重要.
- 在某些物理系统中观察到的重要现象是ergodicity破裂,它挑战了标准的统计力学假设.
- 普鲁希恩模型和粘弹性流体类风湿学为研究 ergodicity 断裂提供了不同的案例.
研究的目的:
- 用消散稳定性和随机可实现性概念来解释GLEs中ergodicity破裂的现象.
- 调查在具有不消失摩擦因子的系统中发生或被防止发生ergodicity破裂的条件.
- 在水力机械理论和流体惯性效应的背景下,提供对埃尔戈迪性破坏的物理解释.
主要方法:
- 应用消散稳定性和随机可实现性概念来分析GLE.
- 检查Plyukhin模型与一个通用的Debye内核.
- 分析具有具有具有实值放松率 (粘弹性流体) 的散散核的系统.
- 考量库博的波动分散定理.
主要成果:
- 在GLEs中,厄尔戈迪性破裂发生在消散稳定性的边界,与像普鲁金模型这样的模型的随机可实现性相吻合.
- 在粘弹性流体中,如果库博的理论成立,随机可实现性处于消散稳定性范围内,则排除了对ergodicity的破坏.
- 一种水力机械解释认为,厄尔戈迪性断裂是由于无散射的流体惯性效应,导致超扩散.
结论:
- 分散稳定性和随机可实现性提供了一个框架,用于理解GLEs中的ergodicity破裂.
- 介质的气态特性显著地影响了埃尔戈迪性破裂的发生.
- 流体惯性效应为在某些厄尔戈迪性破坏场景中观察到的超扩散提供了物理解释.
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