Juhász Róbert
Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, H-1525 Budapest, P.O. Box 49, Hungary.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Feb;87(2):022133. doi: 10.1103/PhysRevE.87.022133. Epub 2013 Feb 21.
An asymmetric variant of the contact process where the activity spreads with different and independent random rates to the left and to the right is introduced. A real space renormalization scheme is formulated for the model by means of which it is shown that the local asymmetry of spreading is irrelevant on large scales if the model is globally (statistically) symmetric. Otherwise, in the presence of a global bias in either direction, the renormalization method predicts two distinct phase transitions, which are related to the spreading of activity in and against the direction of the bias. The latter is found to be described by an infinite randomness fixed point while the former is not.
引入了接触过程的一种非对称变体，其中活动以不同且独立的随机速率向左和向右扩散。为该模型制定了一种实空间重整化方案，通过该方案表明，如果模型在全局（统计）上是对称的，那么扩散的局部不对称性在大尺度上是无关紧要的。否则，在存在任何一个方向的全局偏差的情况下，重整化方法预测会有两个不同的相变，它们与活动在偏差方向上和逆着偏差方向的扩散有关。发现后者由一个无限随机性不动点描述，而前者并非如此。
