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| Paper IPM / P / 6538 |
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| Abstract: | |||||
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We investigate the magnetic phases of the random energy model in the presence
of an external magnetic field. We calculate the finite size corrections to the
magnetisation and susceptibility in the ferromagnetic phase and the finite size
corrections to the free energies within the paramagnetic phase. We give the
paramagnetic and ferromagnetic subphases of the random energy model in the
finite size. The relationship to coding theory is discussed.
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