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Title: A maximum entropy principle for inferring the distribution of 3D plasmoids

Abstract

The principle of maximum entropy, a powerful and general method for inferring the distribution function given a set of constraints, is applied to deduce the overall distribution of 3D plasmoids (flux ropes/tubes) for systems where resistive MHD is applicable and large numbers of plasmoids are produced. The analysis is undertaken for the 3D case, with mass, total flux, and velocity serving as the variables of interest, on account of their physical and observational relevance. The distribution functions for the mass, width, total flux, and helicity exhibit a power-law behavior with exponents of -4/3, -2, -3, and -2, respectively, for small values, whilst all of them display an exponential falloff for large values. In contrast, the velocity distribution, as a function of v=|v|, is shown to be flat for v→0, and becomes a power law with an exponent of -7/3 for v→∞. Most of these results are nearly independent of the free parameters involved in this specific problem. In conclusion, a preliminary comparison of our results with the observational evidence is presented, and some of the ensuing space and astrophysical implications are briefly discussed.

Authors:
 [1]; ORCiD logo [2]
  1. Harvard-Smithsonian Center for Astrophysics, Cambridge, MA (United States); Harvard Univ., Cambridge, MA (United States). John A. Paulson School of Engineering and Applied Sciences
  2. Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences; Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE; National Science Foundation (NSF)
OSTI Identifier:
1432661
Alternate Identifier(s):
OSTI ID: 1417426
Grant/Contract Number:  
AGS-1338944; AGS-1552142; AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 1; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Lingam, Manasvi, and Comisso, Luca. A maximum entropy principle for inferring the distribution of 3D plasmoids. United States: N. p., 2018. Web. doi:10.1063/1.5020887.
Lingam, Manasvi, & Comisso, Luca. A maximum entropy principle for inferring the distribution of 3D plasmoids. United States. doi:10.1063/1.5020887.
Lingam, Manasvi, and Comisso, Luca. Thu . "A maximum entropy principle for inferring the distribution of 3D plasmoids". United States. doi:10.1063/1.5020887. https://www.osti.gov/servlets/purl/1432661.
@article{osti_1432661,
title = {A maximum entropy principle for inferring the distribution of 3D plasmoids},
author = {Lingam, Manasvi and Comisso, Luca},
abstractNote = {The principle of maximum entropy, a powerful and general method for inferring the distribution function given a set of constraints, is applied to deduce the overall distribution of 3D plasmoids (flux ropes/tubes) for systems where resistive MHD is applicable and large numbers of plasmoids are produced. The analysis is undertaken for the 3D case, with mass, total flux, and velocity serving as the variables of interest, on account of their physical and observational relevance. The distribution functions for the mass, width, total flux, and helicity exhibit a power-law behavior with exponents of -4/3, -2, -3, and -2, respectively, for small values, whilst all of them display an exponential falloff for large values. In contrast, the velocity distribution, as a function of v=|v|, is shown to be flat for v→0, and becomes a power law with an exponent of -7/3 for v→∞. Most of these results are nearly independent of the free parameters involved in this specific problem. In conclusion, a preliminary comparison of our results with the observational evidence is presented, and some of the ensuing space and astrophysical implications are briefly discussed.},
doi = {10.1063/1.5020887},
journal = {Physics of Plasmas},
number = 1,
volume = 25,
place = {United States},
year = {2018},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

FIG. 1 FIG. 1: The mass distribution function is plotted as a function of m. The solid red curve represents the exact solution, whilst the dashed black line denotes the asymptotic solution that is valid for small m. Here, we have used the fi ducial values β = γ = δ =more » ε = 1 and C = 1/4π. The latter value was chosen because this factor appears in the magnetic energy.« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.