Fluctuations and effective temperatures in coarsening

2009/03/18 by Federico Corberi, Leticia F. Cugliandolo, Leticia Cugliandolo · 10 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Criticality #Ferromagnetism #Function (biology) #Limit (mathematics) #Limiting #Magnetic properties of thin films #Mathematical analysis #Mathematics #Physics #Scaling #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #Value (mathematics) #Yield (engineering) #cond-mat.stat-mech

paper · pdf · doi:10.1088/1742-5468/2009/05/p05010

published in Journal of Statistical Mechanics Theory and Experiment 2009(05), P05010 (Institute of Physics) · 17 pages, 9 figures

arxiv created 2009/03/18 · openalex publication_date 2009/05/15 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study dynamic fluctuations in non-disordered finite dimensional ferromagnetic systems quenched to the critical point and the low temperature phase. We investigate the fluctuations of two two-time quantities, called χ and C , the averages of which yield the self-linear response and correlation functions. We introduce a restricted average of the χs, summing over all configurations with a given value of C . We find that the restricted average ⟨χ⟩ C obeys a scaling form, and that the slope of the scaling function approaches the universal value of the limiting effective temperature in the long time limit and for . Our results tend to confirm the expectation that time-reparameterization invariance is not realized in coarsening systems at criticality. Finally, we discuss possible experimental tests of our proposal.

Citations

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