30 citations · 58 across the 7 of their papers we have counts for
7 papers
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…
On the derivation of Fourier's law in stochastic energy exchange systems
Pierre Gaspard, Thomas Gilbert
We present a detailed derivation of Fourier's law in a class of stochastic energy exchange systems that naturally characterize two-dimensional mechanical systems of locally confine…