Kinetic equations serve as fundamental tools for understanding the statistical behaviour of particles within a system, bridging the microscopic world of individual particle interactions with ...

The Boltzmann transport equation (BTE) serves as a fundamental model for describing the statistical behaviour of particles in a medium and finds applications across radiative transfer, neutron ...

This is a preview. Log in through your library . Abstract A general theoretical treatment is given of the linearized Boltzmann equation for flow in a bounded medium under conditions when the collision ...

A research team has developed a novel direct sampling method based on deep generative models. Their method enables efficient sampling of the Boltzmann distribution across a continuous temperature ...

Mathematicians have found solutions to a 140-year-old, 7-dimensional equation that were not known to exist for more than a century despite its widespread use in modeling the behavior of gases.

Relativistic versions of the quantum lattice Boltzmann equation are discussed. It is shown that the inclusion of nonlinear interactions requires the standard collision operator to be replaced by a ...

It has taken 140 years, but only now do we have mathematical proof that a seminal equation describing the behaviour of gases is correct. Robert Strain and Philip Gressman at the University of ...