2005/01/31 by Michel Pleimling, Andrea Gambassi · 35 citations
Materials Science · Mathematics · Physics and Astronomy · #Algorithm #Complex Network Analysis Techniques #Computation #Critical phenomena #Critical point (mathematics) #Glauber #Ising model #Material Dynamics and Properties #Mathematical analysis #Mathematics #Monte Carlo method #Non-equilibrium thermodynamics #Phase transition #Physics #Quantum mechanics #Scale (ratio) #Scale invariance #Scaling #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.71.180401
published in Physical Review B 71(18) (American Physical Society) · 4 pages, 2 figures, minor changes, version to appear in Phys. Rev. B as a Rapid Communication
arxiv created 2005/03/21 · openalex publication_date 2005/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Local scale invariance (LSI) has been recently proposed as a possible extension of the dynamical scaling in systems at the critical point and during phase ordering. LSI has been applied inter alia to provide predictions for the scaling properties of the response function of nonequilibrium critical systems in the aging regime following a quench from the high-temperature phase to the critical point. These predictions have been confirmed by Monte Carlo simulations and analytical results for some specific models, but they are in disagreement with field-theoretical predictions. By means of Monte Carlo simulations of the critical two- and three-dimensional Ising model with Glauber dynamics, we study the intermediate integrated response, finding deviations from the corresponding LSI predictions that are in qualitative agreement with the field-theoretical computations. This result casts some doubts on the general applicability of LSI to critical dynamics.