Preprint Article Version 1 This version is not peer-reviewed

Thermodynamic, non-extensive, or turbulent quasi equilibrium for space plasma environment

Version 1 : Received: 29 May 2019 / Approved: 31 May 2019 / Online: 31 May 2019 (06:12:02 CEST)

How to cite: Yoon, P. Thermodynamic, non-extensive, or turbulent quasi equilibrium for space plasma environment. Preprints 2019, 2019050371 (doi: 10.20944/preprints201905.0371.v1). Yoon, P. Thermodynamic, non-extensive, or turbulent quasi equilibrium for space plasma environment. Preprints 2019, 2019050371 (doi: 10.20944/preprints201905.0371.v1).

Abstract

The Boltzmann-Gibbs (BG) entropy has been used in a wide variety of problems for more than a century. It is well known that BG entropy is extensive, but for certain systems such as those dictated by long-range interactions, the entropy must be non-extensive. Tsallis entropy possesses non-extensive characteristics, which is parametrized by a variable q (= 1 being the classic BG limit), but unless q is determined from microscopic dynamics, the model remains but a phenomenological tool. To this date very few examples have emerged in which q can be computed from first principles. This paper shows that the space plasma environment, which is governed by long-range collective electromagnetic interaction, represents a perfect example for which the q parameter can be computed from micro-physics. By taking the electron velocity distribution function measured in the heliospheric environment into account, and considering them to be in quasi equilibrium state with electrostatic turbulence known as the quasi-thermal noise, it is shown that the value corresponding to = 9/13 = 0.6923 may be deduced. This prediction is verified against observation made by spacecraft, and it is shown to be in excellent agreement.

Subject Areas

non-extensive entropic principle; plasma turbulence; quasi equilibrium

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