We report the nonequilibrium dynamical phase transition (NDPT) appearing in akinetic Ising spin system (ISS) subject to the joint application of adeterministic external field and the stochastic mutually correlated noisessimultaneously. A time-dependent Ginzburg-Landau stochastic differentialequation, including an oscillating modulation and the correlated multiplicativeand additive white noises, was addressed and the numerical solution to therelevant Fokker-Planck equation was presented on the basis of an average-periodapproach of driven field. The correlated white noises and the deterministicmodulation induce a kind of dynamic symmetry-breaking order, analogous to thestochastic resonance in trend, in the kinetic ISS, and the reentrant transitionhas been observed between the dynamic disorder and order phases when theintensities of multiplicative and additive noises were changing. Thedependencies of a dynamic order parameter Q upon the intensities of additivenoise A and multiplicative noise M, the correlation lmda between two noises,and the amplitude of applied external field h were investigated quantitativelyand visualized vividly. A brief discussion was given to outline the underlyingmechanism of the NDPT in a kinetic ISS driven by an external force andcorrelated noises. Keywords: Ising spin system, nonequilibrium dynamical phase transition,stochastic resonance, correlated noises, TDGL model. PACS: 75.10.Hk, 64.60.Ht, 05.10.Gg, 76.20.+q
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