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Discrete and continuum models of heat conduction problems in periodic lattice structures
Author(s) -
Szymczyk Jolanta,
Wozniak Czeslaw
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310510
Subject(s) - lattice (music) , thermal conduction , particle in a one dimensional lattice , empty lattice approximation , mathematics , lattice field theory , lattice model (finance) , statistical physics , mathematical analysis , physics , classical mechanics , mathematical physics , quantum mechanics , monte carlo method , gauge theory , acoustics , statistics
A new modelling approach to the hyperbolic heat conduction problems in periodic lattice structures of an arbitrary form is proposed. To this end we introduce a special description of the periodic lattice geometry which leads to the discrete lattice model governed by the system of finite difference equations. The continuum models are derived from the discrete model, by using the principle of stationary action.