Related Experiment Video
Updated: Sep 30, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Collision group and renormalization of the Boltzmann collision integral
1Institute of Ionosphere, Almaty 480020, Kazakhstan and Institute of Fluid Science, Tohoku University, Sendai 980-8577, Japan.
Abstract:
On the basis of a recently discovered collision group [V. L. Saveliev, in Rarefied Gas Dynamics: 22nd International Symposium, edited by T. J. Bartel and M. Gallis, AIP Conf. Proc. No. 585 (AIP, Melville, NY, 2001), p. 101], the Boltzmann collision integral is exactly rewritten in two parts. The first part describes the scattering of particles with small angles. In this part the infinity due to the infinite cross sections is extracted from the Boltzmann collision integral. Moreover, the Boltzmann collision integral is represented as a divergence of the flow in velocity space. Owing to this, the role of collisions in the kinetic equation can be interpreted in terms of the nonlocal friction force that depends on the distribution function.
Related Concept Videos
Elastic Collisions: Case Study
Collisions in Multiple Dimensions: Problem Solving
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
Elastic Collisions: Introduction
Reduced Mass Coordinates: Isolated Two-body Problem
Maxwell-Boltzmann Distribution: Problem Solving
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
The Kinetic Model of Gases
