Cecconi F, Cencini M, Falcioni M, Vulpiani A
Center for Statistical Mechanics and Complexity, INFM Roma-1, Dipartamento di Fisica, Università di Roma La Sapienza, Piazzale Aldo Moro 2, I-00185 Rome, Italy.
Chaos. 2005 Jun;15(2):26102. doi: 10.1063/1.1832773.
One century after Einstein's work, Brownian motion still remains both a fundamental open issue and a continuous source of inspiration for many areas of natural sciences. We first present a discussion about stochastic and deterministic approaches proposed in the literature to model the Brownian motion and more general diffusive behaviors. Then, we focus on the problems concerning the determination of the microscopic nature of diffusion by means of data analysis. Finally, we discuss the general conditions required for the onset of large scale diffusive motion.
在爱因斯坦的研究成果问世一个世纪后，布朗运动仍然既是一个基本的开放性问题，也是自然科学诸多领域持续不断的灵感源泉。我们首先讨论文献中提出的用于对布朗运动及更一般的扩散行为进行建模的随机方法和确定性方法。然后，我们聚焦于通过数据分析确定扩散微观本质所涉及的问题。最后，我们讨论大规模扩散运动开始所需的一般条件。
