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8 papers · 2 filters
Self-assembly of two-dimensional, amorphous materials on a liquid substrate
Deborah Schwarcz, Stanislav Burov
Recent experimental utilization of liquid substrate in the production of two-dimensional crystals, such as graphene, together with a general interest in amorphous materials, raises…
The case of the biased quenched trap model in two dimensions with diverging mean dwell times
Dan Shafir, Stanislav Burov
We investigate the biased quenched trap model on top of a two-dimensional lattice in the case of diverging expected dwell times. By utilizing the double-subordination approach and…
Generalized equipartition for nonlinear multiplicative Langevin dynamics: application to laser-cooled atoms
Gianmaria Falasco, Eli Barkai, Marco Baiesi
The virial theorem, and the equipartition theorem in the case of quadratic degrees of freedom, are handy constraints on the statistics of equilibrium systems. Their violation is in…
Gas of sub-recoiled laser cooled atoms described by infinite ergodic theory
Eli Barkai, Günter Radons, Takuma Akimoto
The velocity distribution of a classical gas of atoms in thermal equilibrium is the normal Maxwell distribution. It is well known that for sub-recoiled laser cooled atoms Lévy stat…
Big jump principle for heavy-tailed random walks with correlated increments
Marc Höll, Eli Barkai
The big jump principle explains the emergence of extreme events for physical quantities modelled by a sum of independent and identically distributed random variables which are heav…
Backbone diffusion and first-passage dynamics in a comb structure with confining branches under stochastic resetting
R. K. Singh, T. Sandev, A. Iomin +1
We study the diffusive motion of a test particle in a two-dimensional comb structure consisting of a main backbone channel with continuously distributed side branches, in the prese…