Concept

Équation de Boltzmann

Publications associées (102)

Comparative study between Cubic and Ellipsoidal Fokker-Planck kinetic models

Motivated by improving the performance of particle-based Monte-Carlo simulations in the transitional regime, Fokker–Planck kinetic models have been devised and studied as approximations of the Boltzmann collision operator. By generalizing the linear drift ...

2019

Unified theory of thermal transport in crystals and glasses

Nicola Marzari, Michele Simoncelli

Crystals and glasses exhibit fundamentally different heat conduction mechanisms: the periodicity of crystals allows for the excitation of propagating vibrational waves that carry heat, as first discussed by Peierls, while in glasses the lack of periodicity ...

NATURE PUBLISHING GROUP2019

Linearized Coulomb Collision Operator for Simulation of Interpenetrating Plasma Streams

Stephan Brunner

We present an extension of a linearized Coulomb collision operator, previously used in several Eulerian kinetic codes for like-species collisions and unlike-species collisions in the case where the backgrounds about which the linearization is made all are ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

Continuum models of the electrochemical diffuse layer in electronic-structure calculations

Nicola Marzari, Oliviero Andreussi, Francesco Nattino, Matthew Truscott

Continuum electrolyte models represent a practical tool to account for the presence of the diffuse layer at electrochemical interfaces. However, despite the increasing popularity of these in the field of materials science, it remains unclear which features ...

AMER INST PHYSICS2019

Accurate particle time integration for solving Vlasov-Fokker-Planck equations with specified electromagnetic fields

Mohammadhossein Gorji

The Vlasov-Fokker-Planck equation (together with Maxwell's equations) provides the basis for plasma flow calculations. While the terms accounting for long range forces are established, different drift and diffusion terms are used to describe Coulomb collis ...

2019

Treatment of long-range interactions arising in the Enskog-Vlasov description of dense fluids

Mohammadhossein Gorji

The kinetic theory of rarefied gases and numerical schemes based on the Boltzmann equation, have evolved to the cornerstone of non-equilibrium gas dynamics. However, their counterparts in the dense regime remain rather exotic for practical non-continuum sc ...

2018

Approximating Matsubara dynamics using the planetary model: Tests on liquid water and ice

Michele Ceriotti, Michael John Willatt

Matsubara dynamics is the quantum-Boltzmann-conserving classical dynamics which remains when real-time coherences are taken out of the exact quantum Liouvillian [T. J. H. Hele et al., J. Chem. Phys. 142, 134103 (2015)]; because of a phase-term, it cannot b ...

2018

A Gyrokinetic Model for the Tokamak Periphery

Paolo Ricci, Rogério Manuel Cabete De Jesus Jorge, Baptiste Jimmy Frei, Antoine Baillod

Despite significant developments over the last decades, an analytical model which adequately describes plasma dynamics in the tokamak periphery region extending from the edge region to the far scrape-off layer is still missing. In this work, we present a n ...

2018

On the Lagrangian structure of transport equations: The Vlasov–Poisson system

Maria Colombo

The Vlasov-Poisson system is an important nonlinear transport equation, used to describe the evolution of particles under their self-consistent electric or gravitational field. The existence of classical solutions is limited to dimensions d

2017

Boltzmann Transport in Nanostructures as a Friction Effect

Nicola Marzari, Andrea Cepellotti

Surface scattering is the key limiting factor to thermal transport in dielectric crystals as the length scales are reduced or when temperature is lowered. To explain this phenomenon, it is commonly assumed that the mean free paths of heat carriers are boun ...

Amer Chemical Soc2017

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