ISSN:
1572-9613
Keywords:
Renormalization group
;
variational principles
;
convexity
;
bounds on free energy and internal energy
;
Ising model
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The free energy of a thermodynamic system is known to be a concave function of the temperature. This fact is used, together with some results due to Fisher, to deduce bounds on the internal energy of the two-dimensional Ising model, given reasonably accurate upper and lower bounds on the free energy. These free energy bounds are derived from renormalization group transformations. Unfortunately, the numerical accuracy of the bounds on the internal energy is poor. The reasons for the failure are discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01007991
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