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Showing 1 to 7 of 7 for “"Hydrodynamic limit"”.
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On some nonlinear partial differential equations for classical and quantum many body systems
… We give a new method to show that in the hydrodynamic limit, the particle densities of a one-dimensional zero range process on a periodic lattice converge to the solution of a nonlinear diffusion equation. This method allows for the first time an explicit uniform-in-time bound on the rate …
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Horizons, Holography And Hydrodynamics
… the transport coefficients which describe the hydrodynamic limit of the boundary gauge theory.
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Contributions in fractional diffusive limit and wave turbulence in kinetic theory
… theory and we study them via mean-field limits of finite stochastic particle systems. $\textbf{Anomalous transport from kinetic models.}$ The goal is to understand how fractional diffusion arises from kinetic equations. We explain how fractional diffusion corresponds to anomalous …
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Brownian particles interacting with a Newtonian Barrier: Skorohod maps and their use in solving a PDE with free boundary, strong approximation, and hydrodynamic limits.
… the use of Skorohod maps in establishing the hydrodynamic behavior of an interacting particle system. This technique has the benefit of using stochastic methods to show both existence and uniqueness of the resulting PDE with free boundary condition. In 2001, Frank Knight constructed a …
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Stochastic Dynamics on Integrable Lattice Models
… universality class, and we confirm the expected hydrodynamic limit PDE of the growth process in special domains known as tower graphs. To complement our analysis of the growth process, we analyze the local asymptotics of dimer model correlation functions on tower graphs, and confirm in this case …
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Supercurrents in Restricted Geometries and Driven by Time-Dependent Electric Fields
… relation of weak links in He3. In the limit of small holes the hole itself and the current through it does not affect the order parameter in the superfluid and the current can hence be calculated using the pinhole model. This leads to a periodic current-phase relation. It was shown that …
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Hydrodynamic behaviour of active and multi-species exclusion processes
… variational representation. We develop an exact hydrodynamic description for a lattice model of active matter with exclusion. The macroscopic limit is an integro-differential equation for the particles' density in phase space (positions and orientations) and includes nonlinearities in both the …