Agrawal Ramgopal, Corberi Federico, Insalata Ferdinando, Puri Sanjay
School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.
Dipartimento di Fisica "E. R. Caianiello", and INFN, Gruppo Collegato di Salerno, and CNISM, Unità di Salerno, Università di Salerno, via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy.
Phys Rev E. 2022 Mar;105(3-1):034131. doi: 10.1103/PhysRevE.105.034131.
It is known that, after a quench to zero temperature (T=0), two-dimensional (d=2) Ising ferromagnets with short-range interactions do not always relax to the ordered state. They can also fall in infinitely long-lived striped metastable states with a finite probability. In this paper, we study how the abundance of striped states is affected by long-range interactions. We investigate the relaxation of d=2 Ising ferromagnets with power-law interactions by means of Monte Carlo simulations at both T=0 and T≠0. For T=0 and the finite system size, the striped metastable states are suppressed by long-range interactions. In the thermodynamic limit, their occurrence probabilities are consistent with the short-range case. For T≠0, the final state is always ordered. Further, the equilibration occurs at earlier times with an increase in the strength of the interactions.
众所周知，在骤冷至零温度（T = 0）后，具有短程相互作用的二维（d = 2）伊辛铁磁体并不总是弛豫到有序状态。它们也可能以有限的概率落入寿命无限长的条纹亚稳态。在本文中，我们研究条纹态的丰度如何受到长程相互作用的影响。我们通过在T = 0和T≠0时的蒙特卡罗模拟，研究具有幂律相互作用的d = 2伊辛铁磁体的弛豫过程。对于T = 0和有限的系统尺寸，条纹亚稳态会被长程相互作用抑制。在热力学极限下，它们的出现概率与短程情况一致。对于T≠0，最终状态总是有序的。此外，随着相互作用强度的增加，平衡在更早的时间发生。
