171 citations · 786 across the 45 of their papers we have counts for
10 papers · 1 filter
Pre-thermalization in a classical phonon field: slow relaxation of the number of phonons
François Huveneers, Jani Lukkarinen
We investigate the emergence of an astonishingly long pre-thermal plateau in a classical phonon field, here a harmonic chain with on-site pinning. Integrability is broken by a weak…
Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory
Christian B. Mendl, Jianfeng Lu, Jani Lukkarinen
We perform microscopic molecular dynamics simulations of particle chains with an onsite anharmonicity to study relaxation of spatially homogeneous states to equilibrium, and direct…
Derivation of a Matrix-valued Boltzmann Equation for the Hubbard Model
Martin L. R. Fürst, Jani Lukkarinen, Peng Mei +1
For the spin-$\{1}{2}$ Fermi-Hubbard model we derive the kinetic equation valid for weak interactions by using time-dependent perturbation expansion up to second order. In recent t…
Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises
Cedric Bernardin, Venkateshan Kannan, Joel L. Lebowitz +1
We consider a chain composed of coupled harmonic oscillators in contact with heat baths at temperature and at sites 1 and respectively. The oscillators are a…
Harmonic Systems With Bulk Noises
Cedric Bernardin, Venkateshan Kannan, Joel L. Lebowitz +1
We consider a harmonic chain in contact with thermal reservoirs at different temperatures and subject to bulk noises of different types: velocity flips or self-consistent reservoir…
Heat Conduction and Entropy Production in Anharmonic Crystals with Self-Consistent Stochastic Reservoirs
Federico Bonetto, Joel L. Lebowitz, Jani Lukkarinen +1
We investigate a class of anharmonic crystals in dimensions, , coupled to both external and internal heat baths of the Ornstein-Uhlenbeck type. The external heat baths,…
Energy Transport in Weakly Anharmonic Chains
Kenichiro Aoki, Jani Lukkarinen, Herbert Spohn
We investigate the energy transport in a one-dimensional lattice of oscillators with a harmonic nearest neighbor coupling and a harmonic plus quartic on-site potential. As numerica…
Lattice computation of energy moments in canonical and Gaussian quantum statistics
Jani Lukkarinen
We derive a lattice approximation for a class of equilibrium quantum statistics describing the behaviour of any combination and number of bosonic and fermionic particles with any s…
On the use of non-canonical quantum statistics
Jani Lukkarinen
We develop a method using a coarse graining of the energy fluctuations of an equilibrium quantum system which produces simple parameterizations for the behaviour of the system. As…
Derivation and Improvements of the Quantum Canonical Ensemble from a Regularized Microcanonical Ensemble
Jani Lukkarinen
We develop a regularization of the quantum microcanonical ensemble, called a Gaussian ensemble, which can be used for derivation of the canonical ensemble from microcanonical princ…