PMID: 22587100May 17, 2012Paper

Free-energy landscape for cage breaking of three hard disks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Gary L Hunter, Eric R Weeks

Abstract

We investigate cage breaking in dense hard-disk systems using a model of three Brownian disks confined within a circular corral. This system has a six-dimensional configuration space, but can be equivalently thought to explore a symmetric one-dimensional free-energy landscape containing two energy minima separated by an energy barrier. The exact free-energy landscape can be calculated as a function of system size by a direct enumeration of states. Results of simulations show the average time between cage breaking events follows an Arrhenius scaling when the energy barrier is large. We also discuss some of the consequences of using a one-dimensional representation to understand dynamics through a multidimensional space, such as diffusion acquiring spatial dependence and discontinuities in spatial derivatives of free energy.

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Citations

Jul 10, 2014·The Journal of Chemical Physics·Jeongmin Kim, Bong June Sung
Jan 21, 2021·Physical Review. E·Eric R Weeks, Keely Criddle
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M J Godfrey, M A Moore
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Qingqing Ma, Richard M Stratt

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