Phase transition to blob-hole coherent structure in the Hasegawa–Mima model for plasmas

Lim, Chjan C.

doi:10.1017/s0022377821001148

Phase transition to blob-hole coherent structure in the Hasegawa–Mima model for plasmas

Journal Article · 01 December 2021 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/s0022377821001148· OSTI ID:1977739

An equilibrium statistical mechanics theory for the Hasegawa–Mima equations of toroidal plasmas, with canonical constraint on energy and microcanonical constraint on potential enstrophy, is solved exactly as a spherical model. The use of a canonical energy constraint instead of a fixed-energy microcanonical approach is justified by the preference for viewing real plasmas as an open system. A significant consequence of the results obtained from the partition function, free energy and critical temperature, is the condensation into a ground state exhibiting a blob-hole-like structure observed in real plasmas.

Research Organization:: Rensselaer Polytechnic Inst., Troy, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-04ER25616

OSTI ID:: 1977739

Journal Information:: Journal of Plasma Physics, Vol. 87, Issue 6; ISSN 0022-3778

Publisher:: Cambridge University Press

Country of Publication:: United States

Language:: English

References (18)

Statistical equilibrium states for two-dimensional flows Robert, R.; Sommeria, J. Journal of Fluid Mechanics, Vol. 229, Issue -1 https://doi.org/10.1017/S0022112091003038	journal	August 1991
Energy Maximizers, Negative Temperatures, and Robust Symmetry Breaking in Vortex Dynamics on a Nonrotating Sphere Lim, Chjan C. SIAM Journal on Applied Mathematics, Vol. 65, Issue 6 https://doi.org/10.1137/040605916	journal	January 2005
Convective transport by intermittent blob-filaments: Comparison of theory and experiment D’Ippolito, D. A.; Myra, J. R.; Zweben, S. J. Physics of Plasmas, Vol. 18, Issue 6 https://doi.org/10.1063/1.3594609	journal	June 2011
Statistical mechanics of two-dimensional vortices Lundgren, T. S.; Pointin, Y. B. Journal of Statistical Physics, Vol. 17, Issue 5 https://doi.org/10.1007/BF01014402	journal	November 1977
Statistical hydrodynamics Onsager, L. Il Nuovo Cimento, Vol. 6, Issue S2 https://doi.org/10.1007/BF02780991	journal	March 1949
Phase transitions of the energy-relative enstrophy theory for a coupled barotropic fluid–rotating sphere system Ding, Xueru; Lim, Chjan C. Physica A: Statistical Mechanics and its Applications, Vol. 374, Issue 1 https://doi.org/10.1016/j.physa.2006.08.036	journal	January 2007
Blob-Hole Structures as Non-Axisymmetric Equilibrium Solutions for Potential Vorticity Conserving Fluids Kosuga, Yusuke; Diamond, Patrick H. Plasma and Fusion Research, Vol. 8, Issue 0 https://doi.org/10.1585/pfr.8.2403080	journal	January 2013
Pseudo-three-dimensional turbulence in magnetized nonuniform plasma Hasegawa, Akira; Mima, Kunioki Physics of Fluids, Vol. 21, Issue 1 https://doi.org/10.1063/1.862083	journal	January 1978
First-order phase transition and high energy cyclonic spots in a shallow water model on a rapidly rotating sphere Ding, Xueru; Lim, Chjan C. Physics of Fluids, Vol. 21, Issue 4 https://doi.org/10.1063/1.3103883	journal	April 2009
Phase transition to super-rotating atmospheres in a simple planetary model for a nonrotating massive planet: Exact solution Lim, Chjan C. Physical Review E, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevE.86.066304	journal	December 2012
Extremal free energy in a simple mean field theory for a coupled Barotropic fluid - rotating sphere system C. Lim, Chjan Discrete & Continuous Dynamical Systems - A, Vol. 19, Issue 2 https://doi.org/10.3934/dcds.2007.19.361	journal	January 2007
Statistical dynamics of two-dimensional flow Kraichnan, Robert H. Journal of Fluid Mechanics, Vol. 67, Issue 1 https://doi.org/10.1017/S0022112075000225	journal	January 1975
On the origin of plasma density blobs Krasheninnikov, S. I. Physics Letters A, Vol. 380, Issue 46 https://doi.org/10.1016/j.physleta.2016.09.046	journal	December 2016
Blobs and drift wave dynamics Zhang, Yanzeng; Krasheninnikov, S. I. Physics of Plasmas, Vol. 24, Issue 9 https://doi.org/10.1063/1.4994833	journal	September 2017
The Spherical Model of a Ferromagnet Berlin, T. H.; Kac, M. Physical Review, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRev.86.821	journal	June 1952
Energy extremals and nonlinear stability in a variational theory of a coupled barotropic flow - Rotating solid sphere system Lim, Chjan C. Journal of Mathematical Physics, Vol. 48, Issue 6 https://doi.org/10.1063/1.2347900	journal	June 2007
The spherical model of logarithmic potentials as examined by Monte Carlo methods Lim, Chjan C.; Nebus, Joseph Physics of Fluids, Vol. 16, Issue 11 https://doi.org/10.1063/1.1790499	journal	November 2004
Phase transitions of barotropic flow coupled to a massive rotating sphere—Derivation of a fixed point equation by the Bragg method Lim, Chjan C.; Singh Mavi, Rajinder Physica A: Statistical Mechanics and its Applications, Vol. 380 https://doi.org/10.1016/j.physa.2007.02.099	journal	July 2007

Similar Records

Nonconservative and reverse spectral transfer in Hasegawa--Mima turbulence

Journal Article · 1993 · Physics of Fluids B; (United States) · OSTI ID:6519018

Terry, P W; Newman, D E

Nonconservative and reverse spectral transfer in Hasegawa-Mima turbulence

Technical Report · 1993 · OSTI ID:10138423

Terry, P W; Newman, D E

Nonconservative and reverse spectral transfer in Hasegawa-Mima turbulence

Technical Report · 1993 · OSTI ID:6940503

Terry, P W; Newman, D E

Related Subjects

Physics

Phase transition to blob-hole coherent structure in the Hasegawa–Mima model for plasmas

Citation Formats

References (18)

Similar Records

Related Subjects