Magnetic field chaos in the SK Model
Alain Billoire, Barbara Coluzzi
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 h0 and h1 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.
Create a lesson
Related papers
Global Minima of the Thomson Problem in a Disk: A Molecular Dynamics Approach with Fixed Border Charges
Georgiy K. Lavrov, Eduard G. Nikonov
Martingale theory for heat and phase-space contraction in heterogeneous diffusions
Jing Qin, Nariya Uchida, Édgar Roldán
Formal Fluctuation-Response Relations for Non-Stationary Systems: The Dynamic Conjugate Variable
Igor M. Sokolov
Khinchin's ergodicity and typicality in statistical mechanics
Dario Lucente, Marco Baldovin, Giacomo Gradenigo et al.
Universal 1/f Noise in the Power Spectra of Energy Time-series in Solvated DNA Dynamics
Harsh Sahu, Deepika Sardana, Pramod Kumar et al.
Landau diamagnetism and the de Haas-van Alphen effect from a single geometric construction
Sung-Hoon Lee