Kinetic theory of transverse plasmons in pair plasmas

Abstract

A set of nonlinear governing equations for interactions of transverse plasmons with pair plasmas is derived from Vlasov-Maxwell equations. It is shown the ponderomotive force induced by high-frequency transverse plasmons will expel the pair particles away, resulting in the formation of density cavity in which transverse plasmons are trapped. Numerical results show the envelope of wave fields will collapse and break into a filamentary structure due to the spatially inhomogeneous growth rate. The results obtained would be useful for understanding the nonlinear propagation behavior of intense electromagnetic waves in pair plasmas.

Dynamical behaviour of transverse plasmons in pair plasmas

“…These results are in agreement with those in numerical calculations. [20] The maximum growth rate and the characteristic spatial scale for wave field and density caviton are given in Eq. (18).…”

“…The numerical results of the nonlinear equation (5) show that the field will collapse into localized structure due to modulational instabilities. [20] In the following we will analytically prove that it is the case.…”

“…On the basis of Vlasov-Maxwell equations, in consideration of the nonlinear wave-wave, wave-particle interactions, we have come to a set of nonlinear equations which can describe the nonlinear behaviour of high frequency transverse plasmons in unmagnetized isotropic pair plasmas, [20] i…”

“…[2,19] Recently, considering the nonlinear wave-wave and wave-particle interactions, a set of nonlinear governing equations which can describe the interaction of transverse plasmons with pair plasmas have been obtained on the basis of Vlasov-Maxwell equations in Ref. [20]. In which, the numerical results show that as a result of modulational instability, the wave field will collapse and form a localized structure where strong transverse plasmons are trapped.…”

“…In order to obtain a general knowledge about the nonlinear behaviour of transverse plasmons in pair plasmas, in this paper we are devoted to the study of the modulational instability and the collapse behaviour of transverse plasmons from the governing equation in Ref. [20].…”