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The theory of spatiotemporal evolution of nonequilibrium thermodynamic systemsA review of field theories of the new phase formation kinetics is presented based on the microscopic approach. The evolution of the system quenched across the first-order phase transition point is described in terms of the supersymmetric approach (which equally represents homogeneous and heterophase fluctuations). The dependences of the order parameter, susceptibilities, nonergodicity and memory parameters on the external conditions and the quenching rate are determined. The critical degree of nonequilibrium and the anharmonicity value for the transition from dissipative to reactive regimes (similar to the Belousov-Zhabotinsky reaction) are estimated.
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