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math.PR2024
Relaxation time and topology in 1D models
Pietro Caputo, Sébastien Ott, Assaf Shapira
We discuss the relaxation time (inverse spectral gap) of the one dimensional model, for all and with two types of boundary conditions. We see how its low temperature asy…
cond-mat.stat-mech2024
Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas
Clément Erignoux, Alexandre Roget, Assaf Shapira +1
We investigate a -conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density . We derive the hydrodynamic equation for this mo…