Dynamical phase transitions in annihilating random walks with pair deposition
Dynamical phase transitions in annihilating random walks with pair deposition
复制标题
成对沉积湮灭随机游走的动态相变
DOI：
10.1088/1751-8121/ac8a7d
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
D. Karevski
中科院分区：
文献类型：
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作者：
Gunter M Schuetz;D. Karevski
给出了一维相互作用的随机游动系统的条件动力学的精确结果，当两个粒子在同一地点相遇时，该系统立即湮灭，其中成对的粒子随机地沉积在相邻的地点。对于非典型的跳跃活动，人们发现了类似于横向磁场中自旋1/2量子XY自旋链中出现的零温平衡相变的动态非平衡相变。沿着临界线，粒子密度对其稳定值的逼近是具有意外平均场指数的代数方法。含时局域定态密度关联具有普适性，动力学指数z=1。在无序相内部，空间振荡关联出现在典型活度以下。
Exact results are presented for conditioned dynamics in a system of interacting random walks in one dimension that annihilate immediately when two particles meet on the same site and where pairs of particles are deposited randomly on neighbouring sites. For an atypical hopping activity one finds dynamical nonequilibrium phase transitions analogous to the zero-temperature equilibrium phase transitions that appear in the spin-1/2 quantum XY spin chain in a transverse magnetic field. Along the critical line the approach of the particle density to its stationary value is algebraic with an unexpected mean field exponent. The time-dependent local stationary density correlations are universal with dynamical exponent z = 1. Inside the disordered phase spatially oscillating correlations appear below the typical activity.