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Self-similar approximations for thermodynamic potentials

✍ Scribed by V.I. Yukalov; E.P. Yukalova

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
920 KB
Volume
198
Category
Article
ISSN
0378-4371

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✦ Synopsis

The method of self-similar approximations is extended here to the problem of calculating thermodynamic potentials in statistical mechanics.

To formulate an optimal scheme of the method, we compare its different variants connected with different definitions of governing functions and damping parameters.

Stability conditions are analyzed. All conclusions are made apparent by calculating the free energy of a zero-dimensional 'p' model. The optimal variant of the method is shown to be stable providing a good accuracy in the whole range of a coupling parameter, from zero up to infinity.

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