摘要翻译：
非平衡体系中的涨落一直是理论和实验研究的热点。局部的“涨落关系”描述了在各种模型和现象中某些可观测物的统计性质的对称性。它们是在确定性框架中推导出来的，后来又在随机框架中推导出来的。其他的结果首先为随机过程得到，后来在确定性动力学中考虑，描述了涨落的时间演化。这个领域的发展超出了预期：研究工作和不同的观点以越来越快的速度提出。事实上，理解涨落对于新兴的非平衡现象理论以及诸如纳米技术和生物物理等应用都很重要。然而，不同办法之间的联系以及这些办法的局限性并没有得到充分理解。我们着重于这些问题，提供：a）理论模型的分析；b）严格的数学结果的讨论；c）对广泛现象的理论预测有效性的物理机制的识别。
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英文标题：
《Fluctuations in Nonequilibrium Statistical Mechanics: Models,
  Mathematical Theory, Physical Mechanisms》
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作者：
Lamberto Rondoni, Carlos Mejia-Monasterio
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  The fluctuations in nonequilibrium systems are under intense theoretical and experimental investigation. Topical ``fluctuation relations'' describe symmetries of the statistical properties of certain observables, in a variety of models and phenomena. They have been derived in deterministic and, later, in stochastic frameworks. Other results first obtained for stochastic processes, and later considered in deterministic dynamics, describe the temporal evolution of fluctuations. The field has grown beyond expectation: research works and different perspectives are proposed at an ever faster pace. Indeed, understanding fluctuations is important for the emerging theory of nonequilibrium phenomena, as well as for applications, such as those of nanotechnological and biophysical interest. However, the links among the different approaches and the limitations of these approaches are not fully understood. We focus on these issues, providing: a) analysis of the theoretical models; b) discussion of the rigorous mathematical results; c) identification of the physical mechanisms underlying the validity of the theoretical predictions, for a wide range of phenomena.
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PDF链接：
https://arxiv.org/pdf/709.1976