Effect of entropy on anomalous transport in ITG-modes of magneto-plasma

Abstract

The ideal gas equation and ( / ) ρ = S c P log v (where S is entropy, P is pressure and ρ is the mass density) define the interconnection of entropy with the temperature and density of plasma. Therefore, different phenomena relating to plasma and entropy need to be investigated. By employing the Braginskii transport equations for a nonuniform electron-ion magnetoplasma, two new parameters-the entropy distribution function and the entropy gradient drift-are defined, a new dispersion relation is obtained, and the dependence of anomalous transport on entropy is also proved. Some results, like monotonicity, the entropy principle and the second law of thermodynamics, are proved with a new definition of entropy. This work will open new horizons in fusion processes, not only by controlling entropy in tokamak plasmas-particularly in the pedestal regions of the H-mode and space plasmas-but also in engineering sciences.

Nonlinearity of ion temperature gradient mode with entropy drift

“…These modes are also studied in toroidal geometry, including the curvature of the magnetic field and impurity effects in plasma by [26,27]. Many writers have looked into the entropy effects on the drift of the plasma mode [28][29][30][31].…”

Analysis of Entropy-dependent solitons in ETG-driven magneto plasma by Variational Iteration Method

“…Entropy was found experimentally in 1989 [35]. Shear viscosity is based on entropy density [36]. Numerous scholars have investigated the topic of entropy [28,40].…”

Soliton formation in electron-temperature-gradient-driven magnetoplasma

“…Jermen et al derived a dispersion relation for the ITG mode for the low-frequency electrostatic waves of plasma [27], and Shukla et al then carried out this work for the ETG mode [28]. More recently, Khan et al showed the importance of entropy in ITG mode [29] and Yaqub et al studied the effect of entropy in ETG mode [30].…”