Non-equilibrium critical relaxation of the three-dimensional Ising model

✍ Scribed by Nobuyasu Ito

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 698 KB
• Volume: 192
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(93)90111-g

✦ Synopsis

The non-equilibrium relaxation process at the critical point is studied using Monte Carlo simulation for the ferromagnetic Ising model on a cubic lattice. It was observed that the time-dependent magnetization decayed following a power law tC* from the all-up initial condition.

Three kinds of single-spin-flip dynamics were studied for several lattices up to 1536'. The system size dependences are also studied. The value of A was estimated to be 0.250(2). This value of A leads to the estimation of the dynamical exponent z to be 2.06(2) if we assume h = plzv, where p and v denote the critical exponents for spontaneous magnetization and correlation length in equilibrium state, respectively, and p/v = 0.515. The result of the non-equilibrium relaxation in the ordered phase is also given.