3 papers
math.PR2020
Evolution of a passive particle in a one-dimensional diffusive environment
François Huveneers, François Simenhaus
We study the behavior of a tracer particle driven by a one-dimensional fluctuating potential, defined initially as a Brownian motion, and evolving in time according to the heat equ…
cond-mat.stat-mech2019
Glassy dynamics in strongly anharmonic chains of oscillators
Wojciech De Roeck, François Huveneers
We review the mechanism for transport in strongly anharmonic chains of oscillators near the atomic limit where all oscillators are decoupled. In this regime, the motion of most osc…
cond-mat.stat-mech2019
Equivalence of ensembles, condensation and glassy dynamics in the Bose-Hubbard Hamiltonian
François Huveneers, Elias Theil
We study mathematically the equilibrium properties of the Bose-Hubbard Hamiltonian in the limit of a vanishing hopping amplitude. This system conserves the energy and the number of…