Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Characterization of microstates for confined systems and associated scale-dependent continuum fields via Fourier coefficients

Murdoch, A.I. and Bedeaux, D. (2001) Characterization of microstates for confined systems and associated scale-dependent continuum fields via Fourier coefficients. Journal of Physics A: Mathematical and Theoretical, 34 (33). pp. 6495-6508. ISSN 0305-4470

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

The phase space description of a system of N point masses confined to a rectangular box is shown to be equivalent to knowledge of a minimal set of 6N complex Fourier coefficients associated with the discrete distributions of matter and momentum. The corresponding real-valued truncated Fourier series yield continuum densities of particle number and momentum at a specific length scale, min . Continuum descriptions at any scale >min correspond to further truncation of these series. Attention is drawn to the relevance of the results to recent investigations of reproducible macroscopic behaviour, at a given pair and - of length time scales, using projection operator methodology.

Item type: Article
ID code: 2026
Keywords: Fourier coefficients, reproducible macroscopic behaviour, projection operator methodology, physics, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics > Mathematics
Related URLs:
Depositing user: Strathprints Administrator
Date Deposited: 26 Nov 2006
Last modified: 16 Jul 2013 17:49
URI: http://strathprints.strath.ac.uk/id/eprint/2026

Actions (login required)

View Item