Abstract
Nonlinear propagation of dust-ion-acoustic waves in a degenerate dense plasma (with the constituents being degenerate, for both the limits non-relativistic or ultra-relativistic) have been investigated by the reductive perturbation method. The Korteweg de-Vries (K-dV) equation and Burger’s equation have been derived, and the numerical solutions of those equations have been analyzed to identify the basic features of electrostatic solitary and shock structures that may form in such a degenerate dense plasma. The implications of our results in compact astrophysical objects, particularly, in white dwarfs, have been briefly discussed.
Highlights
In present days, most theoretical concerns are to understand the environment of the compact objects having their interiors supporting themselves via degenerate pressure
The Korteweg de-Vries (K-dV) equation and Burger’s equation have been derived, and the numerical solutions of those equations have been analyzed to identify the basic features of electrostatic solitary and shock structures that may form in such a degenerate dense plasma
The degenerate pressure, which arises due to the combine effect of Pauli’s exclusion principle (Wolfgang Ernst Pauli, 1925) and Heisenberg’s uncertainty principle (Werner Heisenberg, 1927), depends only on the fermion number density, but not on it’s temperature. This degenerate pressure has a vital role to study the electrostatic perturbation in matters existing in extreme conditions [1,2,3,4,5,6,7]
Summary
Most theoretical concerns are to understand the environment of the compact objects having their interiors supporting themselves via degenerate pressure. Nonlinear propagation of dust-ion-acoustic waves in a degenerate dense plasma (with the constituents being degenerate, for both the limits non-relativistic or ultra-relativistic) have been investigated by the reductive perturbation method. The equation of state for degenerate electrons in such interstellar compact objects are mathematically explained by Chandrasekhar [4] for two limits, namely non-relativistic and ultra-relativistic limits.
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