73 citations · 286 across the 19 of their papers we have counts for
11 papers · 1 filter
Dynamic structure factor of a monatomic cubic crystal
Arsene Yerle, Pierre Gaspard, Joel Mabillard
The spectral function of density fluctuations, also known as the dynamic structure factor, of a monatomic cubic crystal with vacancies is derived from the macroscopic equations des…
Vacancy diffusion and the hydrodynamics of crystals
Joel Mabillard, Pierre Gaspard
The hydrodynamics of crystals with vacancies is developed on the basis of local-equilibrium thermodynamics, where the chemical potential of vacancies plays a key role together with…
Elastic and transport coefficients of the perfect hard-sphere crystal from the poles of the hydrodynamic spectral functions
Joel Mabillard, Pierre Gaspard
The elastic and transport coefficients of a perfect face-centered cubic crystal of hard spheres are computed from the poles of the dynamic structure factor and of the spectral func…
Hydrodynamic correlation and spectral functions of perfect cubic crystals
Joel Mabillard, Pierre Gaspard
We investigate the collective dynamics of the perfect cubic crystal by deriving from the hydrodynamic equations the time-dependent correlation and the spectral functions characteri…
Hydrodynamic properties of the perfect hard-sphere crystal: Microscopic computations with Helfand moments
Joel Mabillard, Pierre Gaspard
Within the framework of the local-equilibrium approach, the equilibrium and nonequilibrium properties relevant to the hydrodynamics of the perfect hard-sphere crystal are obtained…
Poles of hydrodynamic spectral functions and Einstein-Helfand formulas for transport coefficients
Joel Mabillard, Pierre Gaspard
The local-equilibrium approach to transport processes is related to the approach based on time-dependent correlation functions and their associated spectral functions characterizin…
Quantum local-equilibrium approach to dissipative hydrodynamics
Joël Mabillard, Pierre Gaspard
The macroscopic hydrodynamic equations are derived for many-body systems in the local-equilibrium approach, using the Schrödinger picture of quantum mechanics. In this approach, st…
Heat Fluctuations in Chemically Active Systems
Joël Mabillard, Christoph A. Weber, Frank Jülicher
Chemically active systems such as living cells are maintained out of thermal equilibrium due to chemical events which generate heat and lead to active fluctuations. A key question…
Nonequilibrium statistical mechanics of crystals
Joel Mabillard, Pierre Gaspard
The local equilibrium approach previously developed by the Authors [J. Mabillard and P. Gaspard, J. Stat. Mech. (2020) 103203] for matter with broken symmetries is applied to cryst…
Using Markov transition matrices to generate trial configurations in Markov chain Monte Carlo simulations
Joel Mabillard, Isha Malhotra, Bortolo Matteo Mognetti
We propose a new Markov chain Monte Carlo method in which trial configurations are generated by evolving a state, sampled from a prior distribution, using a Markov transition matri…
Microscopic approach to the macrodynamics of matter with broken symmetries
Joel Mabillard, Pierre Gaspard
A unified set of hydrodynamic equations describing condensed phases of matter with broken continuous symmetries is derived using a generalization of the statistical-mechanical appr…