干涉有向路径与符号相变
Interfering directed paths and the sign phase transition
摘要：
我们重新审视的问题“符号相变“的干扰有向路径的实际振幅在随机介质。由于到达给定点的路径的总振幅的符号可以看作是一个Ising序参量，因此我们认为系统的粗粒度理论是一个动态伊辛模型与一个Kardar-Parisi-Zhang（KPZ）模型的耦合.当KPZ模型处于强耦合（“钉扎”）相时，伊辛模型没有稳定的铁磁相，因此没有相变的迹象。我们研究了这一数值的情况下，β 1 +1维，展示了伊辛有序相的不稳定性。
英文摘要：
We revisit the question of the "sign phase transition" for interfering directed paths with real amplitudes in a random medium. The sign of the total amplitude of the paths to a given point may be viewed as an Ising order parameter, so we suggest that a coarse-grained theory for system is a dynamic Ising model coupled to a Kardar-Parisi-Zhang (KPZ) model. It appears that when the KPZ model is in its strong-coupling ("pinned") phase, the Ising model does not have a stable ferromagnetic phase, so there is no sign phase transition. We investigate this numerically for the case of ß1+1 dimensions, demonstrating the instability of the Ising ordered phase there.
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