Electronic Resource
Springer
Journal of statistical physics
71 (1993), S. 1133-1155
ISSN:
1572-9613
Keywords:
Cooperative diffusion
;
kinetic Ising Model
;
time-power series
;
singularities
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We obtain exact time-power series through 11th order for cooperative diffusion in a one-dimensional lattice gas with nearest-neighbor interactions. In the high-temperature limit (single-site exclusion one) mean field theory is exact and the model is soluble for arbitrary initial conditions. The exact solution is used to recast the time-power series for a general temperature as a series in the appropriate function obtained from the high-temperature limit. We discuss why more conventional methods of extracting power-law exponents for the asymptotic long-time behavior do not work well for this model.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01049963
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