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Simple inequality for the free energy of disordered systems
Authors:Jacek M Kowalski
Institution:(1) Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, USSR;(2) Institute of Physics, Technical University, Wroclaw, Poland
Abstract:It is proved that the free energy of a disordered system described by a quadratic form in Bose or Fermi operators with random coefficients, calculated in the simplest approximation for the associated eigenvalue problem, gives the upper (Bose case) and lower (Fermi case) bounds for the exact free energy.
Keywords:Disordered crystal  free energy  ground-state energy  thermodynamic inequalities
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