Weak ergodicity breaking in the Schwinger model

Weak-ergodicity Breaking in Mean-field Spin-glass Models

Distribution of time-averaged observables for weak ergodicity breaking.

We find a general formula for the distribution of time-averaged observables for systems modeled according to the subdiffusive continuous time random walk. For Gaussian random walks coupled to a thermal bath we recover ergodicity and Boltzmann's statistics, while for the anomalous subdiffusive case a weakly nonergodic statistical mechanical framework is constructed, which is based on Lévy's gene...

Ergodicity breaking and localization.

We study the joint action of the non-Poisson renewal events (NPR) yielding Continuous-time random walk (CTRW) with index α<1 and two different generators of Hurst coefficient H≠0.5, one generating fractional Brownian motion (FBM) and another scaled Brownian motion (SBM). We discuss the ergodicity breaking emerging from these joint actions and we find that in both cases the adoption of time aver...

Subdiffusion and weak ergodicity breaking in the presence of a reactive boundary.

We derive the boundary condition for a subdiffusive particle interacting with a reactive boundary with a finite reaction rate. Molecular crowding conditions, that are found to cause subdiffusion of larger molecules in biological cells, are shown to effect long-tailed distributions with an identical exponent for both the unbinding times from the boundary to the bulk and the rebinding times from ...

Finite Temperature Schwinger Model with Chirality Breaking Boundary Conditions

The Nf -flavour Schwinger Model on a finite space 0 ≤ x ≤ L and subject to bag-type boundary-conditions at x = 0 und x = L is solved at finite temperature T = 1/β. The boundary conditions depend on a real parameter θ and break the axial flavour symmetry. We argue that this approach is more appropriate to study the broken phases than introducing small quark masses, since all calculations can be ...