TY - JOUR
T1 - Re-examining the Cairns-Tsallis model for ion acoustic solitons
AU - Williams, G.
AU - Kourakis, I.
AU - Verheest, F.
AU - Hellberg, M.A.
PY - 2013/8/7
Y1 - 2013/8/7
N2 - Recently, a hybrid distribution function [Tribeche et al., Phys. Rev. E 85, 037401 (2012)] was proposed to describe a plasma species with an enhanced superthermal component. This combines a Cairns-type “nonthermal” form with the Tsallis theory for nonextensive thermodynamics. Using this alternative model, the propagation of arbitrary amplitude ion acoustic solitary waves in a two-component plasma is investigated. From a careful study of the distribution function it is found that the model itself is valid only for a very restricted range in the q-nonextensive parameter and the nonthermality parameter, α. Solitary waves, the amplitude and nature of which depend sensitively on both q and α, can exist within a narrow range of allowable Mach numbers. Both positive and negative potential structures are found, and coexistence may occur.
AB - Recently, a hybrid distribution function [Tribeche et al., Phys. Rev. E 85, 037401 (2012)] was proposed to describe a plasma species with an enhanced superthermal component. This combines a Cairns-type “nonthermal” form with the Tsallis theory for nonextensive thermodynamics. Using this alternative model, the propagation of arbitrary amplitude ion acoustic solitary waves in a two-component plasma is investigated. From a careful study of the distribution function it is found that the model itself is valid only for a very restricted range in the q-nonextensive parameter and the nonthermality parameter, α. Solitary waves, the amplitude and nature of which depend sensitively on both q and α, can exist within a narrow range of allowable Mach numbers. Both positive and negative potential structures are found, and coexistence may occur.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-84883893560&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.88.023103
DO - 10.1103/PhysRevE.88.023103
M3 - Article
AN - SCOPUS:84883893560
SN - 1539-3755
VL - 88
JO - Physical Review E
JF - Physical Review E
IS - 2
M1 - 023103
ER -