开放保体积系统非平衡态stationary states的分形性：I.标记粒子扩散
Fractality of the non-equilibrium stationary states of open volume-preserving systems: I. Tagged particle diffusion
摘要：
确定性扩散系统，如周期性的洛伦兹气体，多面包师映射，以及空间周期性的相互作用粒子系统，具有非平衡定态与分形性质时，在其边界处的粒子水库接触。我们研究了这些系统的宏观极限，并建立了对应的宏观扩散过程的热力学和分形的定态相空间统计特征。特别地，熵产生率使用由于Gaspard [J. Stat. 88，1215（1997）]。这篇文章是第一个两个;第二篇文章考虑了一个统一的外部场对这样的系统的影响。
英文摘要：
Deterministic diffusive systems such as the periodic Lorentz gas, multi-baker map, as well as spatially periodic systems of interacting particles, have non-equilibrium stationary states with fractal properties when put in contact with particle reservoirs at their boundaries. We study the macroscopic limits of these systems and establish a correspondence between the thermodynamics of the macroscopic diffusion process and the fractality of the stationary states that characterize the phase-space statistics. In particular the entropy production rate is recovered from first principles using a formalism due to Gaspard [J. Stat. Phys. 88, 1215 (1997)]. This article is the first of two; the second article considers the influence of a uniform external field on such systems.
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