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.

The study of Quantum Boltzmann Equations and Bose–Einstein condensation forms a vital nexus in modern theoretical physics, bridging quantum statistical mechanics and kinetic theory. The Quantum ...

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 ...

(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” ...

In a recent paper, SFI Professor David Wolpert, SFI Fractal Faculty member Carlo Rovelli, and physicist Jordan Scharnhorst ...

In this paper, we study the large-time behavior and the stability of continuous mild solutions to the Boltzmann equation in a half space. For this, we introduce two nonlinear functionals measuring ...

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 ...

We present two Lyapunov functionals measuring future interactions between particles with different velocities, and L1-distance between two classical solutions for the Enskog-Boltzmann equation, when ...

Was an incredible drop in entropy responsible for the Big Bang? If that’s the case, this w Was an incredible drop in entropy responsible for the Big Bang? If that’s the case, this would lead us to ...