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Fractional dimensions of phase space variables: a tool for varying the degrees of freedom of a system in a multiscale treatment

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Matej Praprotnik, Kurt Kremer and Luigi Delle Site

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We show how the idea of fractal dimensions of phase space variables can be employed to develop a concept of adaptive resolution treatment of a molecular liquid. The resulting theoretical framework allows for calculation of statistical averages of thermodynamic quantities in multiresolution computer simulation algorithms where the molecular degrees of freedom change on the fly.


PACS

61.25.Em Molecular liquids

61.20.Ja Computer simulation of liquid structure

65.20.-w Thermal properties of liquids

MSC

82B30 Statistical thermodynamics (See also 80-XX)

82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)

82D15 Liquids

Subjects

Soft matter, liquids and polymers

Dates

Issue 15 (13 April 2007)

Received 2 March 2007

Published 23 March 2007



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