Magnetic field chaos in the Sherrington-Kirkpatrick model
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Updated: Sep 26, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Alain Billoire1, Barbara Coluzzi
1Service de Physique Théorique CEA-Saclay, Orme des Merisiers, 91191 Gif-sur-Yvette, France.
Abstract:
We study the Sherrington-Kirkpatrick model, both above and below the de Almeida-Thouless line, by using a modified version of the Parallel Tempering algorithm in which the system is allowed to move between different values of the magnetic field h. The behavior of the probability distribution of the overlap between two replicas at different values of the magnetic field h(0) and h(1) gives clear evidence for the presence of magnetic field chaos already for moderate system sizes, in contrast to the case of temperature chaos, which is not visible on system sizes that can currently be thermalized.
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