In this work we investigate symmetry breaking in the presence of a turbulent environment. The transition from a symmetric state to a symmetry-breaking state is demonstrated using two examples: (1) the transition of a two-dimensional flow to a three-dimensional flow as the fluid layer thickness is varied and (2) the dynamo instability in a thin layer flow as the magnetic Reynolds number is varied. We show that these examples have similar critical exponents that differ from the mean-field predictions. The critical behavior can be related to the multiplicative nature of the fluctuations and can be predicted in certain limits using results from the statistical properties of random interfaces. Our results indicate the possibility of existence of a new class of out-of-equilibrium phase transition controlled by the multiplicative noise.

中文翻译：

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在动荡的环境中打破对称

在这项工作中，我们研究在湍流环境下对称性的破坏。使用两个示例说明了从对称状态到对称破坏状态的过渡：（1）随着流体层厚度的变化，二维流向三维流的过渡；（2）流体动力学中的不稳定性。随着磁雷诺数的变化，薄层流动。我们显示这些示例具有与均值场预测不同的相似临界指数。临界行为可能与波动的乘法性质有关，并且可以使用随机界面的统计属性结果在某些限制下进行预测。我们的结果表明存在由乘性噪声控制的一类新的失衡相变的可能性。