Contact processes with long range interactions
Contact processes with long range interactions
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DOI：
10.1088/1742-5468/2006/08/p08008
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发表时间：
2006-08-01
影响因子：
2.4
通讯作者：
Torcini, A.
中科院分区：
文献类型：
--
作者：
Ginelli, F.;Hinrichsen, H.;Torcini, A.
引入了一类非局部接触过程，并利用平均场近似和数值模拟对其进行了研究。在这些过程中，粒子的产生速率随着离最近粒子的距离而代数衰减。它被发现到吸收状态的过渡是连续的，其特征在于连续变化的临界指数。该模型不同于以前研究的非局部定向渗流模型，其中粒子由不受限制的Levy飞行产生。它是由最近的非平衡润湿研究表明，这种非局部过程中发挥作用的非约束过渡的动机。其他非本地的过程已被认为是存在的背景下的润湿被认为是。
A class of non-local contact processes is introduced and studied using the mean field approximation and numerical simulations. In these processes particles are created at a rate which decays algebraically with the distance from the nearest particle. It is found that the transition into the absorbing state is continuous and is characterized by continuously varying critical exponents. This model differs from the previously studied non-local directed percolation model, where particles are created by unrestricted Levy flights. It is motivated by recent studies of non-equilibrium wetting indicating that such non-local processes play a role in the unbinding transition. Other non-local processes which have been suggested to exist within the context of wetting are considered as well.