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Diffusing Reconstituting Dimers: A Simple Model of Broken Ergodicity and Ageing

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arxiv cond-mat/9702192 v1 pith:NY6CUEZJ submitted 1997-02-21 cond-mat.stat-mech

Deepak Dhar This is my paper · ORCID
classification cond-mat.stat-mech
keywords modelageingergodicitymetastablesimplesitestatessystem
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We consider a simple analytically tractable model of metastability and ageing. In this model, a particle can jump left or right by two steps to an unoccupied site, but only if the the site in between is occupied. We show that the model is strongly nonergodic, and the number of metastable states increases as exponential of the size of the system. Within a sector, the model is equivalent to the Heisenberg model and is exactly soluble. We study how this strong breaking of ergodicity affects the hydrodynamical description of long wavelength density fluctuations in the system. Finally, we study the effect of allowing transitions between different metastable states at a very slow rate.

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  1. Weak ergodicity breaking with isolated integrable sectors

    cond-mat.stat-mech 2024-12 accept novelty 7.0 of 10

    Isolated integrable subspaces can be embedded non-trivially into chaotic spin chains; all examples are perturbations of Hilbert-space-fragmented models.

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