Results 1 to 10 of about 24,077 (241)
Weak ergodicity breaking in optical sensing
Physical Review ResearchThe time-integrated intensity transmitted by a laser-driven resonator obeys Lévy's arcsine laws [Ramesh et al., Phys. Rev. Lett. 132, 133801 (2024)0031-900710.1103/PhysRevLett.132.133801].
V. G. Ramesh, S. R. K. Rodriguez
doaj +5 more sources
Distribution of Time-Averaged Observables for Weak Ergodicity Breaking [PDF]
Physical Review Letters, 2007 We find a general formula for the distribution of time-averaged observables for systems modeled according to the sub-diffusive continuous time random walk.
A. Rebenshtok +6 more
core +5 more sources
Ergodicity and super weak compactness [PDF]
Annals of Functional Analysis, 2023 We prove that a closed convex subset of a Banach space is (super-)weakly compact if and only if it is (super)-ergodic. As a consequence we deduce that super weakly compact sets are characterized by the fixed point property for continuous affine mappings.
Guillaume Grelier, M. Raja
openalex +3 more sources
On weak ergodicity breaking in mean-field spin glasses [PDF]
SciPost Physics, 2023 The weak ergodicity breaking hypothesis postulates that out-of-equilibrium glassy systems lose memory of their initial state despite being unable to reach an equilibrium stationary state.
Giampaolo Folena, Francesco Zamponi
doaj +2 more sources
Weak-ergodicity-breaking via lattice supersymmetry [PDF]
Quantum, 2020 We study the spectral properties of $D$-dimensional $N=2$ supersymmetric lattice models. We find systematic departures from the eigenstate thermalization hypothesis (ETH) in the form of a degenerate set of ETH-violating supersymmetric (SUSY) doublets ...
Federica Maria Surace +2 more
doaj +3 more sources
Physica D: Nonlinear Phenomena, 1998 We examine the consequences of classical ergodicity for the localization properties of individual quantum eigenstates in the classical limit. We note that the well known Schnirelman result is a weaker form of quantum ergodicity than the one implied by ...
Heller, E. J., Kaplan, L.
core +3 more sources
Weak Ergodicity Breaking of Receptor Motion in Living Cells Stemming from Random Diffusivity [PDF]
Physical Review X, 2015 Molecular transport in living systems regulates numerous processes underlying biological function. Although many cellular components exhibit anomalous diffusion, only recently has the subdiffusive motion been associated with nonergodic behavior.
Carlo Manzo +5 more
doaj +2 more sources
Mean ergodicity vs weak almost periodicity [PDF]
Studia Mathematica, 2018 We provide explicit examples of positive and power-bounded operators on $c_0$ and $\ell^\infty$ which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive and ...
Gerlach, Moritz, Glück, Jochen
core +4 more sources
A fractional Feynman-Kac equation for weak ergodicity breaking [PDF]
Physical Review E, 2011 Continuous-time random walk (CTRW) is a model of anomalous sub-diffusion in which particles are immobilized for random times between successive jumps. A power-law distribution of the waiting times, $\psi(\tau) \tau^{-(1+\alpha)}$, leads to sub-diffusion (
Barkai, Eli, Carmi, Shai
core +3 more sources
Ergodicity Breaking in a Deterministic Dynamical System [PDF]
Europhysics Letters (EPL), 2006 The concept of weak ergodicity breaking is defined and studied in the context of deterministic dynamics. We show that weak ergodicity breaking describes a weakly chaotic dynamical system: a nonlinear map which generates subdiffusion deterministically. In
Dorfman J. R. +4 more
core +2 more sources