171 citations · 786 across the 45 of their papers we have counts for
47 papers
Finite lattice kinetic equations for bosons, fermions, and discrete NLS
Jani Lukkarinen, Sakari Pirnes, Aleksis Vuoksenmaa
We introduce and study finite lattice kinetic equations for bosons, fermions, and discrete NLS. For each model this closed evolution equation provides an approximate description fo…
Disorder-induced broadening of quantum momentum distribution
Vili Heinonen, Jani Lukkarinen
We study the long-time behavior of a non-interacting two-dimensional quantum gas in a weak random potential with long-range correlations. Any peaked initial momentum distribution w…
Wasserstein error estimates between telegraph processes and Brownian motion
Gerardo Barrera, Jani Lukkarinen, Mikko S. Pakkanen
We provide non-asymptotic error bounds in the path Wasserstein distance with quadratic integral cost between suitable functionals of the telegraph process and the corresponding fun…
Generation of chaos in the cumulant hierarchy of the stochastic Kac model
Jani Lukkarinen, Aleksis Vuoksenmaa
We study the time-evolution of cumulants of velocities and kinetic energies in the stochastic Kac model for velocity exchange of particles, with the aim of quantifying how fast…
Coagulation equations with source leading to anomalous self-similarity
Marina A. Ferreira, Eugenia Franco, Jani Lukkarinen +2
We study the long-time behaviour of the solutions to Smoluchowski coagulation equations with a source term of small clusters. The source drives the system out-of-equilibrium, leadi…
Smoothing Properties of a Linearization of the Three Waves Collision Operator in the bosonic Boltzmann-Nordheim Equation
Jogia Bandyopadhyay, Jani Lukkarinen
We consider the kinetic theory of a three-dimensional fluid of weakly interacting bosons in a non-equilibrium state which includes both normal fluid and a condensate. More precisel…