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 ...

Methods of solution of the Boltzmann equation for the distribution of electrons in an anisotropic metal are discussed. Some general properties of integral equations are used to develop a method ...

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 ...

(Nanowerk News) Physicists use the Boltzmann equation to calculate the statistical distribution of the particles in a conventional gaseous system. Attempts to apply the equation to so-called “active” ...

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 ...

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.

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 ...