Ruiz-García M, Prados A
G. Millán Institute, Fluid Dynamics, Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, 28911 Leganés, Spain.
Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, E-41080 Sevilla, Spain, EU.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jan;89(1):012140. doi: 10.1103/PhysRevE.89.012140. Epub 2014 Jan 27.
We analyze the so-called Kovacs effect in the one-dimensional Ising model with Glauber dynamics. We consider small enough temperature jumps, for which a linear response theory has been recently derived. Within this theory, the Kovacs hump is directly related to the monotonic relaxation function of the energy. The analytical results are compared with extensive Monte Carlo simulations, and an excellent agreement is found. Remarkably, the position of the maximum in the Kovacs hump depends on the fact that the true asymptotic behavior of the relaxation function is different from the stretched exponential describing the relevant part of the relaxation at low temperatures.
我们在具有格劳伯动力学的一维伊辛模型中分析所谓的科瓦奇效应。我们考虑足够小的温度跳跃，最近针对这种情况推导出了线性响应理论。在该理论范围内，科瓦奇峰与能量的单调弛豫函数直接相关。将分析结果与大量蒙特卡罗模拟进行比较，发现二者吻合得非常好。值得注意的是，科瓦奇峰中最大值的位置取决于弛豫函数的真实渐近行为不同于描述低温下弛豫相关部分的拉伸指数这一事实。
