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physics.flu-dyn2026
One vertex generates the hard-sphere Boltzmann collision hierarchy
I. Karlin
The Boltzmann equation is the fundamental kinetic bridge between molecular mechanics and fluid behaviour. It converts binary encounters into the evolution of a velocity distributio…
physics.flu-dyn2026
Fock-Space Representation of the Lebowitz--Frisch--Helfand Kinetic Model
Ilya Karlin
We develop an exact Fock-space representation of the Lebowitz--Frisch--Helfand kinetic equation. The familiar square-root Maxwellian transformation is used only as a convenient sta…
physics.flu-dyn2026
Monolithic kinetic algorithm for heterogeneous porous media systems using a continuous one-domain approach
Nikita O. Gusev, Ilya V. Karlin
We propose a lattice Boltzmann model (LBM) on standard lattices for simulating multi-dimensional, weakly compressible, isothermal flows within and around isotropic heterogeneous po…