Backtracking Dynamical Cavity Method
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F23%3A00374369" target="_blank" >RIV/68407700:21730/23:00374369 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevX.13.031021" target="_blank" >https://doi.org/10.1103/PhysRevX.13.031021</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevX.13.031021" target="_blank" >10.1103/PhysRevX.13.031021</a>
Alternative languages
Result language
angličtina
Original language name
Backtracking Dynamical Cavity Method
Original language description
The cavity method is one of the cornerstones of the statistical physics of disordered systems such as spin glasses and other complex systems. It is able to analytically and asymptotically exactly describe the equilibrium properties of a broad range of models. Exact solutions for dynamical, out-of-equilibrium properties of disordered systems are traditionally much harder to obtain. Even very basic questions such as the limiting energy of a fast quench are so far open. The dynamical cavity method partly fills this gap by considering short trajectories and leveraging the static cavity method. However, being limited to a couple of steps forward from the initialization, it typically does not capture dynamical properties related to attractors of the dynamics. We introduce the backtracking dynamical cavity method that instead of analyzing the trajectory forward from initialization, it analyzes the trajectories that are found by tracking them backward from attractors. We illustrate that this rather elementary twist on the dynamical cavity method leads to new insight into some of the very basic questions about the dynamics of complex disordered systems. This method is as versatile as the cavity method itself, and we hence anticipate that our paper will open many avenues for future research of dynamical, out-of-equilibrium properties in complex systems.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/EF15_003%2F0000466" target="_blank" >EF15_003/0000466: Artificial Intelligence and Reasoning</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review X
ISSN
2160-3308
e-ISSN
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Volume of the periodical
13
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
14
Pages from-to
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UT code for WoS article
001144652100001
EID of the result in the Scopus database
2-s2.0-85170639433