Bray AJ, Briant AJ, Jervis DK
Department of Physics and Astronomy, The University, Manchester, M13 9PL, United Kingdom.
Phys Rev Lett. 2000 Feb 14;84(7):1503-6. doi: 10.1103/PhysRevLett.84.1503.
The approach to equilibrium, from a nonequilibrium initial state, in a system at its critical point is usually described by a scaling theory with a single growing length scale, xi(t) approximately t(1/z), where z is the dynamic exponent that governs the equilibrium dynamics. We show that, for the 2D XY model, the rate of approach to equilibrium depends on the initial condition. In particular, xi(t) approximately t(1/2) if no free vortices are present in the initial state, while xi(t) approximately (t/lnt)(1/2) if free vortices are present.
在处于临界点的系统中，从非平衡初始状态趋近平衡的过程通常由一种具有单一增长长度尺度的标度理论来描述，即关联长度ξ(t)约为t^(1/z)，其中z是控制平衡动力学的动力学指数。我们表明，对于二维XY模型，趋近平衡的速率取决于初始条件。具体而言，如果初始状态中不存在自由涡旋，则ξ(t)约为t^(1/2)；而如果存在自由涡旋，则ξ(t)约为(t/ln t)^(1/2)。
