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.

Kinetic theory provides a vital framework for bridging the microscopic motion of individual particles and the macroscopic properties observed in gases and fluids. Central to this field is the ...

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 ...

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 ...

Science popularization has its legends and heroes, just like any other field, though I’ve heard no plans as yet to open a Hall of Fame. Should that day come, one of the first inductees would ...

This is a preview. Log in through your library . Abstract We investigate the convergence properties of a three-dimensional quantum lattice Boltzmann scheme for the Dirac equation. These schemes were ...