Violation of the Fluctuation Dissipation Theorem during Domain Growth in the Long-range Ising Model
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866912787098238976 |
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| author | Saha, Parbati Puri, Sanjay Banerjee, Varsha |
| author_facet | Saha, Parbati Puri, Sanjay Banerjee, Varsha |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14214 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Violation of the Fluctuation Dissipation Theorem during Domain Growth in the Long-range Ising Model Saha, Parbati Puri, Sanjay Banerjee, Varsha Statistical Mechanics 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. |
| title | Violation of the Fluctuation Dissipation Theorem during Domain Growth in the Long-range Ising Model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2506.14214 |