Simple inequality for the free energy of disordered systems |
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| Authors: | Jacek M. Kowalski |
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| Affiliation: | (1) Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, USSR;(2) Institute of Physics, Technical University, Wroclaw, Poland |
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| 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. |
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| Keywords: | Disordered crystal free energy ground-state energy thermodynamic inequalities |
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