Propagation of arbitrary amplitude nonlinear quantum ion-acoustic waves in electron-ion plasmas: Dimensionality effects

TL;DR

This paper investigates how the dimensionality and ion temperature conditions affect the propagation of nonlinear quantum ion-acoustic waves in degenerate electron-ion plasmas, revealing critical thresholds and differing behaviors.

Contribution

It introduces the impact of system dimensionality and ion temperature conditions on the existence and characteristics of nonlinear quantum ion-acoustic waves.

Findings

Dimensionality critically influences wave propagation criteria.

Existence of an upper ion-temperature limit for adiabatic-ion waves.

Wave amplitude behavior varies with ion-temperature in different ion conditions.

Abstract

Propagation of arbitrary-amplitude ion-acoustic solitary (IASWs) as well as periodic waves (IAPWs) is investigated in a fully degenerate quantum electron-ion plasma consisting of isothermal- or adiabatic-ion species. It is shown that the system dimensionality and degrees of freedom play critical roles in matching criteria for propagation of such waves. Furthermore, it is revealed that for the case of adiabatic-ion unlike isothermal one, in some cases, there exists an upper fractional ion-temperature limit for the existence of IAPWs. It is also shown that, the variations of wave-amplitude with respect to the change in fractional ion-temperature is quite different for the cases of isothermal and adiabatic-ion plasmas.