2025/06/17 by Parbati Saha, Saha, Parbati, Sanjay Puri +3
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #FOS: Physical sciences #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2506.14214
openalex publication_date 2025/06/17 · openalex created_date 2025/10/18 · openalex updated_date 2026/08/01
The celebrated \it fluctuation dissipation theorem (FDT) does not apply to nonequilibrium systems. In this context, Cugliandolo and Kurchan [Phys. Rev. Lett. \bf 71, 173 (1993)] introduced a generalized FDT which interprets the nonequilibrium evolution as a composition of \it time sectors corresponding to different \it effective temperatures. We use this framework to study domain growth in the d=2 long-range Ising model (LRIM) with nonconserved kinetics (\it Glauber spin-flip) and conserved kinetics (\it Kawasaki spin-exchange). We study the dynamical scaling and super-universal (SU) scaling of various two-time quantities, e.g., autocorrelation function, response function, effective temperature, etc. In particular, we investigate how the interaction range and conservation laws affect these characteristic features of domain growth.