On the contribution of exchange interactions to the Vlasov equation

Abstract

Exchange effects play an important role in determining the equilibrium properties of dense matter systems, as well as for magnetic phenomena. There exists an extensive literature concerning, e.g., the effects of exchange interactions on the equation of state of dense matter. Here, a generalization of the Vlasov equation to include exchange effects is presented allowing for electromagnetic mean fields, thus incorporating some of the dynamic effects due to the exchange interactions. Treating the exchange term perturbatively, the correction to classical Langmuir waves in plasmas is found, and the results are compared with previous work. It is noted that the relative importance of exchange effects scales similarly with density and temperature as particle dispersive effects, but that the overall magnitude is sensitive to the details of the specific problem. The implications of our results are discussed.

9 pages

References in corpus (2)

• Autoresonant control of the many-electron dynamics in nonparabolic quantum wells
• Exchange effects in plasmas: the case of low-frequency dynamics

Cited by in corpus (8)

• Exchange effects in a cold plasma
• Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma, Part I: Dielectric permeability tensor for magnetized plasmas
• Elliptically polarized electromagnetic waves in a magnetized quantum electron-positron plasma with effects of exchange-correlation
• Quantum kinetic theories in degenerate plasmas
• Do hydrodynamic models misestimate exchange effects? Comparison with kinetic theory for electrostatic waves
• Nonlinear Landau damping of wave envelopes in a quantum plasma
• Kinetic description of the oblique propagating spin-electron acoustic waves in degenerate plasmas
• The role of the exchange-Coulomb potential in two-dimensional electron transport