TY - JOUR

T1 - Characterization of microstates for confined systems and associated scale-dependent continuum fields via Fourier coefficients

AU - Murdoch, A.I.

AU - Bedeaux, D.

PY - 2001/8/10

Y1 - 2001/8/10

N2 - 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.

AB - 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.

KW - Fourier coefficients

KW - reproducible macroscopic behaviour

KW - projection operator methodology

KW - physics

UR - http://ej.iop.org/links/romqrbT0O/1DDdKlJ92xG53yGdav5vpA/a13313.pdf

UR - http://dx.doi.org/10.1088/0305-4470/34/33/313

U2 - 10.1088/0305-4470/34/33/313

DO - 10.1088/0305-4470/34/33/313

M3 - Article

VL - 34

SP - 6495

EP - 6508

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 0305-4470

IS - 33

ER -