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 0305-4470Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|Keywords:||Fourier coefficients, reproducible macroscopic behaviour, projection operator methodology, physics, Mathematics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics > Mathematics|
|Depositing user:||Strathprints Administrator|
|Date Deposited:||26 Nov 2006|
|Last modified:||06 Jan 2017 03:10|