4 papers · 1 filter
Droplet minimizers for the Cahn Hilliard free energy functional
E. A. Carlen, M. C. Carvalho, R. Esposito +2
We prove theorem characterizing the minimizers in a model for condensation based on the Cahn Hilliard free energy functional. In particular, we exactly determine the critical densi…
Hydrodynamics of a driven lattice gas with open boundaries: the asymmetric simple exclusion
O. Benois, R. Esposito, R. Marra +1
We consider the asymmetric simple exclusion process in with open boundaries. The particle reservoirs of constant densities are modeled by birth and death processes at the…
Binary Fluids with Long Range Segregating Interaction I: Derivation of Kinetic and Hydrodynamic Equations
S. Bastea, R. Esposito, J. L. Lebowitz +1
We study the evolution of a two component fluid consisting of ``blue'' and ``red'' particles which interact via strong short range (hard core) and weak long range pair potentials.…
Equilibrium Fluctuations for Lattice Gases
O. Benois, R. Esposito, R. Marra
The authors in a previous paper proved the hydrodynamic incompressible limit in for a thermal lattice gas, namely a law of large numbers for the density, velocity field an…