Self-organized multiscale structures in thermally relativistic electron-positron-ion plasmas

Abstract

The self-organization of a thermally relativistic magnetized plasma comprising of electrons, positrons and static ions is investigated. The self-organized state is found to be the superposition of three distinct Beltrami fields known as triple Beltrami (TB) state. In general, the eigenvalues associated with the multiscale self-organized vortices may be a pair of complex conjugate and real one. It is shown that all the eigenvalues become real when thermal energy increases or the positron density decreases. The impact of relativistic temperature and positron density on the formation of self-organized structures is investigated. The self-organized field and flow vortices may vary simultaneously on vastly different length scales. The disparate variation of self-organized vortices is important in the context of dynamo theory. The present work is useful to study the formation of multiscale vortices and dynamo mechanisms in multi-species thermally relativistic plasmas.

On the quadruple Beltrami fields in thermally relativistic electron-positron-ion plasma

“…In the present study which is extension of our previous work [45] , we consider a three-component thermally relativistic EPI plasma. In a thermally relativistic plasma, the thermal energy of plasma species is on the order of or greater than their rest mass energy, whereas the fluid velocity of the plasma species is considered to be nonrelativistic.…”

“…For a relativistically hot EPI plasma that contains static ions, the self-organized state is also a TB state. The parametric study of the relaxed state reveals that when the thermal energy and ion density increase, the scale separation grows, and the diamagnetic structures eventually transform into the paramagnetic structures [45].…”

Self‐organization of earth's inner magnetospheric multi‐ion plasma

“…In this plasma model, multi-Beltrami relaxed states such as DB, TB, and QB have also been formulated and investigated by taking into consideration the inertial effects of both positive and negative ion species and adjusting the generalized vorticities of ion species. [42][43][44] Furthermore, it is also crucial to mention that in recent years, such multi-Beltrami states and their implications have also been explored in a variety of astrophysical plasmas, such as dense degenerate plasmas, [37,45,46] classical relativistic hot plasmas, [47][48][49][50][51] and general relativistic plasmas. [52,53] In this paper, a QB relaxed state for a four-component multi-ion plasma with inertialess electrons and inertial H + , He + , and O + ions is derived and investigated.…”

Relaxation of relativistic pair plasma in a massive photon field

“…While for a three-component plasma and when all the plasma species are inertial, the self-organized state is the quadruple Beltrami (QB) state – a linear combination of four single Beltrami fields with four self-organized structures (Shatashvili, Mahajan & Berezhiani 2016). In recent years, such multi-Beltrami relaxed states have also been investigated by several researchers in relativistic hot EP (Iqbal, Berezhiani & Yoshida 2008), relativistic hot electron–positron–ion (EPI) (Iqbal & Shukla 2012, 2013; Shazad, Iqbal & Ullah 2021; Shazad & Iqbal 2023), relativistic degenerate EPI (Shatashvili et al. 2016) and relativistic degenerate two electron-temperature electron–ion plasmas (Shatashvili, Mahajan & Berezhiani 2019).…”