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16 papers · 2 filters
Unusual features of coarsening with detachment rates decreasing with cluster mass
F. D. A. Aarao Reis, R. B. Stinchcombe
We study conserved one-dimensional models of particle diffusion, attachment and detachment from clusters, where the detachment rates decrease with increasing cluster size as gamma(…
Time parameters and Lorentz transformations of relativistic stochastic processes
Jörn Dunkel, Peter Hänggi, Stefan Weber
Rules for the transformation of time parameters in relativistic Langevin equations are derived and discussed. In particular, it is shown that, if a coordinate-time parameterized pr…
Non-universal non-equilibrium critical dynamics with disorder
M. D. Grynberg, G. L. Rossini, R. B. Stinchcombe
We investigate finite size scaling aspects of disorder reaction-diffusion processes in one dimension utilizing both numerical and analytical approaches. The former averages the spe…
Phase Transition in Space: How Far Does a Symmetry Bend Before It Breaks?
Wojciech H. Zurek, Uwe Dorner
We extend the theory of symmetry breaking dynamics in non-equilibrium second order phase transitions known as the Kibble-Zurek mechanism (KZM) to transitions where the change of ph…
Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries
Jan de Gier, Fabian H L Essler
We analyze the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process on a finite lattice and with the most…
Discrete Laplacian Growth: Linear Stability vs Fractal Formation
Igor Loutsenko, Oksana Yermolayeva
We introduce stochastic Discrete Laplacian Growth and consider its deterministic continuous version. These are reminiscent respectively to well-known Diffusion Limited Aggregation…