Prethermalization in a classical phonon field: Slow relaxation of the number of phonons

Autor: François Huveneers, Jani Lukkarinen

Publikováno v: Physical Review Research, Vol 2, Iss 2, p 022034 (2020)

We investigate the emergence of an astonishingly long prethermal plateau in a classical phonon field, here, a harmonic chain with on-site pinning. Integrability is broken by a weak anharmonic on-site potential with strength λ. In the small λ limit,

Externí odkaz: https://doaj.org/article/7cbb16a6dcfd461288898204de402bdd

Derivation of Euler equations from quantum and classical microscopic dynamics

Autor: Amirali Hannani, François Huveneers

We derive Euler equations from a Hamiltonian microscopic dynamics. The microscopic system is a one-dimensional disordered harmonic chain, and the dynamics is either quantum or classical. This chain is an Anderson insulator with a symmetry protected m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::036bf1ef085c696bfe84909336ae3fb6
http://arxiv.org/abs/2209.06645

Subdiffusion in one-dimensional Hamiltonian chains with sparse interactions

Autor: Wojciech De Roeck, François Huveneers, Stefano Olla

Publikováno v: Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, In press, ⟨10.1007/s10955-020-02496-1⟩
Journal of Statistical Physics, Springer Verlag, 2020, 180, pp.678-698. ⟨10.1007/s10955-020-02496-1⟩

We establish rigorously that transport is slower than diffusive for a class of disordered one-dimensional Hamiltonian chains. This is done by deriving quantitative bounds on the variance in equilibrium of the energy or particle current, as a function

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::596e90f1516c80ab17a1bafb8cc8d2b6
https://hal.archives-ouvertes.fr/hal-02296140

HYDRODYNAMIC LIMIT FOR A DISORDERED HARMONIC CHAIN

Autor: François Huveneers, Cédric Bernardin, Stefano Olla

Publikováno v: Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2019, 365 (1), pp.215-237. ⟨10.1007/s00220-018-3251-4⟩

We consider a one-dimensional unpinned chain of harmonic oscillators with random masses. We prove that after hyperbolic scaling of space and time the distributions of the elongation, momentum and energy converge to the solution of the Euler equations

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57de47ee073b58b1a5013f9b9fac2499
https://hal.archives-ouvertes.fr/hal-01721245v3/file/DHC_07_01_2019_hal.pdf

Equivalence of ensembles, condensation and glassy dynamics in the Bose-Hubbard Hamiltonian

Autor: Elias Theil, François Huveneers

Publikováno v: Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2019, 177 (5), pp.917-935. ⟨10.1007/s10955-019-02396-z⟩

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 particles. We establish the equivalence between the microcanonical an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::305bd633d29b5af44c21aa244d7791e2