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Violation of the fluctuation dissipation theorem during domain growth in the long-range Ising model

Parbati Saha1,*, Sanjay Puri2,†, and Varsha Banerjee1,‡

  • *Contact author: parbati.saha@physics.iitd.ac.in
  • †Contact author: purijnu@gmail.com
  • ‡Contact author: varsha@physics.iitd.ac.in
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Phys. Rev. E 114, 014109 – Published 6 July, 2026

DOI: https://doi.org/10.1103/s6f3-zcd6

Abstract

The celebrated fluctuation dissipation theorem (FDT) does not apply to nonequilibrium systems. In this context, Cugliandolo and Kurchan [Phys. Rev. Lett. 71, 173 (1993)] introduced a generalized FDT which interprets the nonequilibrium evolution as a composition of time sectors corresponding to different effective temperatures. We use this framework to study domain growth in the d=2 long-range Ising model with nonconserved kinetics (Glauber spin flip) and conserved kinetics (Kawasaki spin exchange). We study the dynamical scaling and superuniversal 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.

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Phys. Rev. E 114, 014109– Published 6 July, 2026
  • Received 24 December 2025
  • Revised 27 March 2026
  • Accepted 16 June 2026
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