Spectrum of the Boltzmann collision operator for λϕ4 theory in the classical regime
Gabriel S. Denicol, Jorge Noronha
Abstract
We analytically determine all the eigenvalues and eigenfunctions of the linearized Boltzmann collision operator (computed using Boltzmann statistics) in massless scalar λΦ<sup>4</sup> theory. This is used to determine this system's shear viscosity and particle diffusion transport coefficients in analytical form. The corresponding relaxation time approximation for this linearized Boltzmann equation is also derived.
Topics & Concepts
PhysicsBoltzmann equationBoltzmann constantCollisionEigenfunctionMassless particleBhatnagar–Gross–Krook operatorEigenvalues and eigenvectorsBoltzmann's entropy formulaOperator (biology)Classical mechanicsScalar (mathematics)Mathematical physicsQuantum mechanicsMechanicsTurbulenceMathematicsComputer scienceGeneTranscription factorHPP modelBiochemistryGeometryChemistryComputer securityReynolds numberRepressorHigh-Energy Particle Collisions ResearchGas Dynamics and Kinetic TheoryNumerical methods in inverse problems