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• W4377820445 abstract "This paper aims to address the low-temperature dynamics issue for the $p=2$ spin dynamics with confining potential, focusing especially on quartic and sextic cases. The dynamics are described by a Langevin equation for a real vector $q_i$ of size $N$, where disorder is materialized by a Wigner matrix and we especially investigate the self consistent evolution equation for effective potential arising from self averaging of the square length $a(t)equiv sum_i q_i^2(t)/N$ for large $N$. We first focus on the static case, assuming the system reached some equilibrium point, and we then investigate the way the system reach this point dynamically. This allows to identify a critical temperature, above which the relaxation toward equilibrium follows an exponential law but below which it has infinite time life and corresponds to a power law decay." @default.
• W4377820445 created "2023-05-24" @default.
• W4377820445 creator A5032866965 @default.
• W4377820445 creator A5082348460 @default.
• W4377820445 date "2023-05-23" @default.
• W4377820445 modified "2023-09-30" @default.
• W4377820445 title "Low-temperature dynamics for confined $$p=2$$ soft spin in the quenched regime" @default.
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• W4377820445 doi "https://doi.org/10.1140/epjp/s13360-023-04039-5" @default.
• W4377820445 hasPublicationYear "2023" @default.
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