Numerical modeling of phase transition in a system of parametrically excited spin waves

The system of differential equations of motion describing parametrically excited spin waves in magnetic materials at various temperatures is solved numerically. It is shown that at low temperatures, close to zero, in a system with spontaneous symmetry breaking a symmetrical distribution of spin waves is unstable, and a singular distribution is established. With an increase in the temperature the symmetry of the distribution is restored. The reported numerical experiment can be used to determine the presence of a phase transition in the investigated system and to explain the essential details of that transition near the critical temperature.

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