The XNOR spin current has Gaussian, half-normal, and M-Wright limits on t^(1/4) or t^(1/8) scales with explicitly derived amplitudes, supported by parameter-free simulations.
Conservation Laws and Integrability of a One-dimensional Model of Diffusing Dimers
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study a model of assisted diffusion of hard-core particles on a line. The model shows strongly ergodicity breaking : configuration space breaks up into an exponentially large number of disconnected sectors. We determine this sector-decomposion exactly. Within each sector the model is reducible to the simple exclusion process, and is thus equivalent to the Heisenberg model and is fully integrable. We discuss additional symmetries of the equivalent quantum Hamiltonian which relate observables in different sectors. In some sectors, the long-time decay of correlation functions is qualitatively different from that of the simple exclusion process. These decays in different sectors are deduced from an exact mapping to a model of the diffusion of hard-core random walkers with conserved spins, and are also verified numerically. We also discuss some implications of the existence of an infinity of conservation laws for a hydrodynamic description.
citation-role summary
background 1
citation-polarity summary
fields
cond-mat.stat-mech 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Anomalous current fluctuations in the stochastic XNOR hopping model
The XNOR spin current has Gaussian, half-normal, and M-Wright limits on t^(1/4) or t^(1/8) scales with explicitly derived amplitudes, supported by parameter-free simulations.