Hysteresis and complexity in the mean-field random-field Ising model: The soft-spin version
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説明
We study the energy landscape of the soft-spin random-field model in the mean-field limit and compute analytically the quenched complexity of the metastable states as a function of their magnetization and energy at a given external magnetic field. The shape of the domain within which the complexity is positive (and the number of typical metastable states grows exponentially with system size) changes with the amount of disorder and becomes nonconvex and disconnected at low disorder. As a consequence, zero-temperature phase transitions occur both at equilibrium and out of equilibrium along the saturation hysteresis loop. We focus on the zero-complexity curve in the field-magnetization plane and its relationship with the hysteresis loop. We also study the response of the system when the magnetization is externally controlled instead of the magnetic field. The main features of the model that should survive in finite dimensions are discussed.
収録刊行物
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- Physical Review B
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Physical Review B 79 2009-05-26
American Physical Society (APS)