Weak-ergodicity-breaking via lattice supersymmetry

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...

Observing Dynamical Supersymmetry Breaking with Euclidean Lattice Simulations

A strict positivity of the ground-state energy is a necessary and sufficient condition for spontaneous supersymmetry breaking. This ground-state energy may be directly determined from the expectation value of the Hamiltonian in the functional integral, defined with an antiperiodic temporal boundary condition for all fermionic variables. We propose to use this fact to observe the dynamical spont...

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...

Se p 19 99 Supersymmetry approach in the field theory of ergodicity breaking transitions ∗

The supersymmetry (SUSY) self–consistent approximation for the model of non–equilibrium thermodynamic system with quenched disorder is derived by making use of generalized second Legendre transformation. The equations for adiabatic and isothermal susceptibilities, memory and field induced parameters and the temperature of ergodicity breaking transition are obtained on the basis of asymptotic an...