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Book Sections Year : 2023

Numerical Simulations and Replica Symmetry Breaking

Abstract

Use of dedicated computers in spin glass simulations allows one to equilibrate very large samples (of size as large as L = 32) and to carry out computer experiments that can be compared to (and analyzed in combination with) laboratory experiments on spin-glass samples. In the absence of a magnetic field, the most economic conclusion of the combined analysis of equilibrium and non-equilibrium simulations is that an RSB spin glass phase is present in three spatial dimensions. However, in the presence of a field, the lower critical dimension for the de Almeida–Thouless transition seems to be larger than three.
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hal-04341849 , version 1 (02-02-2024)

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Víctor Martín-Mayor, Juan Ruiz-Lorenzo, Beatriz Seoane, A. Peter Young. Numerical Simulations and Replica Symmetry Breaking. Spin Glass Theory and Far Beyond, WORLD SCIENTIFIC, pp.69-93, 2023, 978-981-12-7391-9. ⟨10.1142/9789811273926_0005⟩. ⟨hal-04341849⟩
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