Abstract
The appearance of infinite relaxation times indicating the breaking of ergodicity in the spin-glass phase is demonstrated in the analytical study of finite-field dynamics of the soft spherical spin-glass model. The finite-field inergodic effects such as the difference between field-cooled and zero-field-cooled (ZFC) magnetizations and history dependence of a hysteresis loop were described for the case of the infinite-range random exchange. The existence of the dynamical phase transitions resulting from the jumps over finite microscopic barriers and trapping in the ZFC subspace were established in this case. The hysteresis loop form was analyzed for various temperatures, frequencies, and amplitudes of the external ac field.
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