Fluid properties and chaotic dynamics in equilibrium and nonequilibrium states

在过去的十年里，非平衡统计力学发生了一场革命[今日物理学，2002年9月]。这场革命的特点是使混沌的数学理论适用于非平衡统计力学。导出了计算输运系数的新的基本定理和算法。独联体在这场革命中发挥了关键作用。我们试图通过以下方式扩大这些发展：推广一个将输运系数与混沌有关的定理；详细研究恒温机制对非平衡混沌和涨落的影响，并通过理解非平衡涨落定理对非等能量系统的适用范围。

Over the last decade a revolution has been taking place in nonequilibrium statistical mechanics [Physics Today, Sept, 2002]. This revolution is characterized by adapting the mathematical theory of chaos to nonequilibrium statistical mechanics. Fundamental new theorems and algorithms for computing transport coefficients have been derived. The CIs have played a key role in this revolution. We seek to broaden these developments by: generalizing a theorem which relates transport coefficients to chaoticity; detailed studies of the influence of thermostatting mechanisms on nonequilibrium chaoticity and fluctuations, and by understanding the range of applicability of a nonequilibrium fluctuation theorem for non-isoenergetic systems.