Critical slowing down of the Gaussian spin system on diamond-type hierarchical lattices

• 来源期刊: 中国物理（英文版）
• 关键词: nonequilibrium thermodynamics and irreversible processes dynamical critical phenomena dynamical real-space renormalization-group
• 年，卷（期）: 2003,（3）
• 页码范围: 264-270
• 页数: 7页
• 语种: 英文

摘要

Based on the single-spin transition critical dynamics, we have investigated the critical slowing down of the Gaussian spin model situated on the fractal family of diamond-type hierarchical lattices. We calculate the dynamical critical exponent z and the correlation-length critical exponent v using the dynamical decimation renormalization-group technique. The result, together with some earlier ones, suggests us to conclude that on a wide range of geometries, zv = 1is the general relationship, while the two exponents depend on the specific structure. However, we have investigated for various lattices in an earlier paper, the system studied in this paper shows highly universal z = 1/v = 2 independent of the structure and the dimensionality.