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Long-lived memory in sliding spin chains

2026/07/15 by Charles Stahl, Ethan Lake
#cond-mat.stat-mech #cond-mat.soft #nlin.CG

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Abstract

We study a system of two ferromagnetic one-dimensional Ising chains coupled to a thermal bath, which are driven out of equilibrium by being moved past one another at a constant speed. We show that even at modest speeds, magnetic friction between the two chains significantly increases the ability of the system to order. In particular, at inverse temperature β, Ising coupling J, and sliding speed v, the dynamics retains memory of its initial magnetization for a time that increases from exp(O(βJ)) at v = 0 to exp(O((βJ)2vln v)) when v>vc, where vc is a small constant. Magnetic friction thus provides a simple mechanism for parametrically slowing down thermalization in a one-dimensional magnet.

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