Exact on-event expressions for discrete potential systems

Bannerman M, Lue L (2010)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2010

Journal

Publisher: American Institute of Physics (AIP)

Book Volume: 133

Article Number: 124506

Journal Issue: 12

DOI: 10.1063/1.3486567

Abstract

The properties of systems composed of atoms interacting though discrete potentials are dictated by a series of events which occur between pairs of atoms. There are only four basic event types for pairwise discrete potentials and the square-well/shoulder systems studied here exhibit them all. Closed analytical expressions are derived for the on-event kinetic energy distribution functions for an atom, which are distinct from the Maxwell-Boltzmann distribution function. Exact expressions are derived that directly relate the pressure and temperature of equilibrium discrete potential systems to the rates of each type of event. The pressure can be determined from knowledge of only the rate of core and bounce events. The temperature is given by the ratio of the number of bounce events to the number of disassociation/association events. All these expressions are validated with event-driven molecular dynamics simulations and agree with the data within the statistical precision of the simulations. © 2010 American Institute of Physics.

Additional Organisation(s)

How to cite

APA:

Bannerman, M., & Lue, L. (2010). Exact on-event expressions for discrete potential systems. Journal of Chemical Physics, 133(12). https://doi.org/10.1063/1.3486567

MLA:

Bannerman, Marcus, and Leo Lue. "Exact on-event expressions for discrete potential systems." Journal of Chemical Physics 133.12 (2010).

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