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Publications Influence

The stability and instability of relativistic matter

- E. H. Lieb, Horng-Tzer Yau
- Physics
- 1 June 1988

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 (p… Expand

94 14

Hydrodynamical limit for a Hamiltonian system with weak noise

- S. Olla, S. Varadhan, Horng-Tzer Yau
- Mathematics
- 1 August 1993

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 prolve… Expand

144 11- PDF

Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems

- C. Landim, G. Panizo, Horng-Tzer Yau
- Mathematics
- 2002

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 . Following… Expand

36 5- PDF

Fluctuations of one dimensional Ginzburg-Landau models in nonequilibrium

- Chih Chung Chang, Horng-Tzer Yau
- Mathematics
- 1 April 1992

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 diffusion… Expand

72 5

Navier-Stokes equations for stochastic particle systems on the lattice

- R. Esposito, R. Marra, Horng-Tzer Yau
- Mathematics
- 1 December 1996

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 conditions… Expand

31 4

Grad ø perturbations of massless Gaussian fields

- D. Brydges, Horng-Tzer Yau
- Mathematics
- 1 April 1990

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 pressure… Expand

105 4

Convection–diffusion equation with space–time ergodic random flow

- C. Landim, S. Olla, Horng-Tzer Yau
- Mathematics
- 16 October 1998

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 two… Expand

53 3

Lattice gases, large deviations, and the incompressible Navier-Stokes equations

- J. Quastel, Horng-Tzer Yau
- Mathematics
- 1 July 1998

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, the… Expand

43 3

Some properties of the diffusion coefficient for asymmetric simple exclusion processes

- C. Landim, S. Olla, Horng-Tzer Yau
- Mathematics
- 1 October 1996

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 can… Expand

31 2