Lipowski A
Department of Physics, A. Mickiewicz University, Ulica Umultowska 85, 61-614 Poznań, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Feb;63(2 Pt 2):026105. doi: 10.1103/PhysRevE.63.026105. Epub 2001 Jan 19.
We study a one-dimensional model that undergoes a transition between an active and an absorbing phase. Monte Carlo simulations supported by some additional arguments prompted us to predict the exact location of the critical point and critical exponents in this model. The exponents delta=0.5 and z=2 follows from random-walk-type arguments. The exponents beta=nu( perpendicular) are found to be nonuniversal and encoded in the singular part of reactivation probability, as recently discussed by H. Hinrichsen (cond-mat/0008179). A related model with quenched randomness is also studied.
我们研究了一个在活跃相和吸收相之间发生转变的一维模型。由一些额外论据支持的蒙特卡罗模拟促使我们预测该模型中临界点的确切位置和临界指数。指数δ = 0.5和z = 2源于随机游走类型的论据。正如H. Hinrichsen最近所讨论的（cond-mat/0008179），指数β = ν（垂直方向）被发现是非普适的，并编码在再激活概率的奇异部分中。我们还研究了一个具有淬火随机性的相关模型。
