Abstract
We analyze the random sequential dynamics of a message passing algorithm for Ising models with random interactions in the large system limit. We derive exact results for the two-time correlation functions and the speed of convergence. The de Almedia-Thouless stability criterion of the static problem is found to be necessary and sufficient for the global convergence of the random sequential dynamics.
Original language | English |
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Article number | L030101 |
Number of pages | 5 |
Journal | Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) |
Volume | 103 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2 Mar 2021 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics