2004/01/01 by Malte Henkel, Peter J. Klar, Limei Chen +6 · 1 citation
Mathematics · Physics and Astronomy · #Condensed matter physics #Critical exponent #Dynamical systems theory #Exponent #Ferromagnetism #Geometry #Glauber #Ising model #Mathematical physics #Mathematics #Phase transition #Physics #Quantum many-body systems #Quantum mechanics #Scale invariance #Scaling #Statistical Mechanics and Entropy #Statistical physics #Symmetry (geometry) #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/b95888
published as Adv.Solid State Phys.44:1250,2004 · Invited talk; spring meeting of the german physical society, Regensburg the 8th of March 2004, 12 pages, style files
openalex publication_date 2004/01/01 · arxiv created 2004/04/01 · arxiv updated 2010/04/23 · openalex created_date 2017/05/12 · openalex updated_date 2026/08/05
Many materials quenched into their ordered phase undergo ageing and there show dynamical scaling. For any given dynamical exponent z, this can be extended to a new form of local scale-invariance which acts as a dynamical symmetry. The scaling functions of the two-time correlation and response functions of ferromagnets with a non-conserved order parameter are determined. These results are in agreement with analytical and numerical studies of various models, especially the kinetic Glauber-Ising model in 2 and 3 dimensions.