126 citations · 877 across the 41 of their papers we have counts for
10 papers · 1 filter
Pressure and surface tension of an active simple liquid: a comparison between kinetic, mechanical and free-energy based approaches
Umberto Marini Bettolo Marconi, Claudio Maggi, Simone Melchionna
We discuss different definitions of pressure for a system of active spherical particles driven by a non-thermal coloured noise. We show that mechanical, kinetic and free-energy bas…
Lattice Boltzmann Method for mixtures at variable Schmidt number
Michele Monteferrante, Simone Melchionna, Umberto Marini Bettolo Marconi
When simulating multicomponent mixtures via the Lattice Boltzmann Method, it is desirable to control the mutual diffusivity between species while maintaining the viscosity of the s…
Kinetic Density Functional Theory: A microscopic approach to fluid mechanics
Umberto Marini Bettolo Marconi, Simone Melchionna
In the present paper we give a brief summary of some recent theoretical advances in the treatment of inhomogeneous fluids and methods which have applications in the study of dynami…
Weighted density Lattice Boltzmann approach to fluids under confinement
Umberto Marini Bettolo Marconi, Simone Melchionna
The Enskog-like kinetic approach, recently introduced by us to study strongly inhomogeneous flu- ids, is reconsidered in order to improve the description of the transport coefficie…
Dynamics of Fluid Mixtures in Nanospaces
Umberto Marini Bettolo Marconi, Simone Melchionna
A multicomponent extension of our recent theory of simple fluids [ U.M.B. Marconi and S. Melchionna, Journal of Chemical Physics, 131, 014105 (2009) ] is proposed to describe misci…
A unified framework for dynamic density functional and Lattice Boltzmann methods
Umberto Marini Bettolo Marconi, Simone Melchionna
Using methods of kinetic theory and liquid state theory we propose a description of the non-equilibrium behavior of molecular fluids which takes into account their microscopic stru…
Phase-space approach to dynamical density functional theory
Umberto Marini Bettolo Marconi, Simone Melchionna
We consider a system of interacting particles subjected to Langevin inertial dynamics and derive the governing time-dependent equation for the one-body density. We show that, after…
Lattice Boltzmann method for inhomogeneous fluids
S. Melchionna, U. Marini Bettolo Marconi
We present a lattice-based numerical method to describe the non equilibrium behavior of a simple fluid under non-uniform spatial conditions. The evolution equation for the one-part…
Solving the Fokker-Planck kinetic equation on a lattice
Daniele Moroni, Benjamin Rotenberg, Jean-Pierre Hansen +2
We propose a discrete lattice version of the Fokker-Planck kinetic equation along lines similar to the Lattice-Boltzmann scheme. Our work extends an earlier one-dimensional formula…
Lattice formulation of the Fokker-Planck equation
S. Melchionna, S. Succi, J. -P. Hansen
A lattice version of the Fokker-Planck equation (FPE), accounting for dissipative interactions, not resolved on the molecular scale, is introduced. The lattice FPE is applied to th…