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

## 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 |