We review a mean-field analysis and give the details of a correlation function approach for spatially distributed systems subject to multiplicative noise, white in space and time. We confirm the existence of a pure noise-induced reentrant nonequilibrium phase transition in the model introduced in [C. Van den Broeck et al., Phys. Rev. Lett. 73, 3395 (1994)], give an intuitive explanation of its origin, and present extensive simulations in dimension d=2. The observed critical properties are compatible with those of the Ising universality class.
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机译:我们回顾了均值场分析,并给出了针对空间分布系统的相关函数方法的详细信息,该系统受乘法噪声,时空和时间的影响。我们在[C.引入的模型]中确认存在纯噪声诱导的折返非平衡相变。 Van den Broeck等,Phys。牧师73,3395(1994)],给出了其起源的直观解释,并提出了尺寸d = 2的广泛模拟。观察到的关键特性与Ising通用性级别的特性兼容。
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