# Violation of the Fluctuation Dissipation Theorem during Domain Growth in the Long-range Ising Model

Source: [Violation of the Fluctuation Dissipation Theorem during Domain Growth in the Long-range Ising Model](<https://www.sota2.com/research/paper/68fa4a9f1e209131ce93fff7>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-12-26T05:00:05.118Z

Authors: Parbati Saha, Sanjay Puri, Varsha Banerjee

Published: 2025-06-17T06:10:10.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2506.14214>)

[PDF](<https://arxiv.org/pdf/2506.14214.pdf>)