Kinetics of the long-range spherical model

2007/03/31 by Florian Baumann, Sreedhar B. Dutta, Sreedhar B Dutta +1 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/1751-8113/40/27/001

published as J.Phys.A40:7389-7410,2007 · added "fluctuation-dissipation ratios"; fixed typos

openalex publication_date 2007/06/19 · arxiv created 2007/06/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The kinetic spherical model with long-range interactions is studied after a quench to T < T_c or to T = T_c. For the two-time response and correlation functions of the order-parameter as well as for composite fields such as the energy density, the ageing exponents and the corresponding scaling functions are derived. The results are compared to the predictions which follow from local scale-invariance.

Citations

• Infinite conformal symmetry in two-dimensional quantum field theory
• Local scale-invariance and ageing in noisy systems

Cited by

• Short-time dynamics in the 1D long-range Potts model