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Expressions of the flows of atoms A and B of a binary system in a crystal are derived as the response to the imposed gradients of temperature and chemical potentials. The formulation is done using the pair approximation of the Path Probability Method of irreversible statistical mechanics and...
Persistent link: https://www.econbiz.de/10010873315
The paper studies the convergence of the cluster-variation method to the rigorous result as the cluster size increases. The calculation is done on the phase boundary at T = 0 between the A2B-type ordered phase and the disordered phase on a two-dimensional triangular lattice with nearest-neighbor...
Persistent link: https://www.econbiz.de/10011062725
Behaviors of the generalized random walks (GRW) are directly studied by using computer. The GRW have a non-linear term yielding a non-Markovian character. The non-Markovian character represents memory effects in the processes through the jumping probabilities P̃αN(m|m−α1) between sites...
Persistent link: https://www.econbiz.de/10011063620