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The stability and instability of relativistic matter
We consider the quantum mechanical many-body problem of electrons and fixed nuclei interacting via Coulomb forces, but with a relativistic form for the kinetic energy, namely p 2/2m is replaced by (pExpand
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Hydrodynamical limit for a Hamiltonian system with weak noise
Starting from a general hamiltonian system with superstable pairwise potential, we construct a stochastic dynamics by adding a noise term which exchanges the momenta of nearby particles. We prolveExpand
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Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems
Abstract We consider reversible, conservative Ginzburg–Landau processes, whose potential are bounded perturbations of the Gaussian potential, evolving on a d -dimensional cube of length L . FollowingExpand
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Fluctuations of one dimensional Ginzburg-Landau models in nonequilibrium
We study the fluctuation of one dimensional Ginzburg-Landau models in nonequilibrium along the hydrodynamic (diffusion) limit. The hydrodynamic limit has been proved to be a nonlinear diffusionExpand
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Navier-Stokes equations for stochastic particle systems on the lattice
We introduce a class of stochastic models of particles on the cubic lattice ℤd with velocities and study the hydrodynamical limit on the diffusive spacetime scale. Assuming special initial conditionsExpand
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Grad ø perturbations of massless Gaussian fields
We investigate weak perturbations of the continuum massless Gaussian measure by a class of approximately local analytic functionals and use our general results to give a new proof that the pressureExpand
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Convection–diffusion equation with space–time ergodic random flow
Abstract. We prove the homogenization of convection-diffusion in a time-dependent, ergodic, incompressible random flow which has a bounded stream matrix and a constant mean drift. We also prove twoExpand
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Lattice gases, large deviations, and the incompressible Navier-Stokes equations
We study the incompressible limit for a class of stochastic particle systems on the cubic lattice Zd, d = 3. For initial distributions corresponding to arbitrary macroscopic L2 initial data, theExpand
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Some properties of the diffusion coefficient for asymmetric simple exclusion processes
The hydrodynamical limit of asymmetric simple exclusion processes is given by an inviscid Burgers equation and its next-order correction is given by the viscous Burgers equation. The diffusivity canExpand
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