abstract

• Using the generalized Langevin equation formalism and the process of contraction of the description we derive a general memory function equation for the thermal fluctuations of the local density of a simple atomic liquid. From the analysis of the long-time limit of this equation, a striking equivalence is suggested between the long-time dynamics of the atomic liquid and the dynamics of the corresponding Brownian liquid. This dynamic equivalence is confirmed here by comparing molecular and Brownian dynamics simulations of the self-intermediate scattering function and the long-time self-diffusion coefficient for the hard-sphere liquid. © 2012 IOP Publishing Ltd.

authors

• Chávez Páez Martín
• López Flores Leticia
• Medina Noyola Magdaleno
• Yeomans-Reyna L.

publication date

• 2012-01-01

published in

• Journal of Physics Condensed Matter  Journal

keywords

• Atomic liquids; Brownian dynamics simulations; Dynamic equivalence; Generalized Langevin equation; Hard-sphere; Local density; Long-time dynamics; Memory functions; Scattering functions; Self-diffusion coefficients; Thermal fluctuations; Atoms; Brownian movement; Differential equations; Diffusion; Dynamics; Functions; Liquids

Digital Object Identifier (DOI)

• 10.1088/0953-8984/24/37/375107

start page

end page

volume

• 24

issue

• 37