Journal ArticleDOI
Negative temperature states of two-dimensional plasmas and vortex fluids
Sam F. Edwards,John Bryan Taylor +1 more
Reads0
Chats0
TLDR
In this article, the statistical mechanics of Hamiltonian systems with bounded phase space were investigated and it was shown that they can exist in negative temperature states which show observable intrinsic characteristics, such as the formation of clusters of particles.Abstract:
The two-dimensional guiding centre plasma and a system of interacting line vortices in an ideal fluid are examples of Hamiltonian systems with bounded phase space. The statistical mechanics of such systems is investigated. An interesting feature is that they can exist in negative temperature states which show observable intrinsic characteristics, such as the formation of clusters of particles.read more
Citations
More filters
Journal ArticleDOI
Two-dimensional turbulence
Robert H. Kraichnan,D Montgomery +1 more
TL;DR: The theory of two-dimensional turbulence is reviewed and unified, and some hydrodynamic and plasma applications are considered in this paper, where some equations of incompressible hydrodynamics, absolute statistical equilibrium, spectral transport of energy and enstrophy, turbulence on the surface of a rotating sphere, turbulent diffusion, MHD turbulence, and two dimensional superflow are discussed.
Journal ArticleDOI
Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states)
TL;DR: In this article, the conditions for, and the structure of, the thermal equilibrium states of trapped plasmas are discussed. And a thermodynamic theory of the trapped plasma system is developed.
Journal ArticleDOI
Onsager and the theory of hydrodynamic turbulence
TL;DR: Onsager's contributions to the field of hydrodynamic turbulence are summarized in this paper, with a discussion of the historical context of the work and a brief speculation as to why Onsager may have chosen not to publish several significant results.
Journal ArticleDOI
Statistical dynamics of two-dimensional flow
TL;DR: In this paper, the equilibrium statistical mechanics of inviscid two-dimensional flow are re-examined both for a continuum truncated at a top wavenumber and for a system of discrete vortices.
Journal ArticleDOI
Statistical mechanics of two‐dimensional vortices in a bounded container
Y. Pointin,T. S. Lundgren +1 more
TL;DR: In this article, the equilibrium statistics of a large number of two-dimensional point vortices evolving in an arbitrary domain closed by a bounded curve are investigated in the microcanonical formulation.
References
More filters
Journal ArticleDOI
Plasma Diffusion in Two Dimensions
J. B. Taylor,B. McNamara +1 more
TL;DR: In this article, the velocity correlation function and the diffusion coefficient are calculated in detail using functional probabilities and compared with those from computer experiments and their significance for real plasma is discussed, and it is shown that in this model diffusion always exhibits the anomalous 1/B variation with magnetic field.
Journal ArticleDOI
Theory and numerical simulation on plasma diffusion across a magnetic field
H. Okuda,John M. Dawson +1 more
TL;DR: In this paper, the diffusion of two and two and a half-dimensional plasmas across magnetic fields has been studied theoretically and by numerical simulation, and it is found that there are three regions: for sufficiently weak magnetic fields the diffusion coefficient is the classical one with D⊥ going like B−2; for moderate magnetic fields (ωce≈ωpe) the diffusion rate is enhanced and B−1 is almost independent of B.
Journal ArticleDOI
Equation of State for a Two‐Dimensional Electrolyte
Allan M. Salzberg,Stephen Prager +1 more
Journal ArticleDOI
Numerical Simulation of Plasma Diffusion Across a Magnetic Field in Two Dimensions
TL;DR: In this paper, the authors show that there are three different regions for plasma diffusion across a magnetic field: collisional or classical, intermediate, and Bohm diffusions, and that diffusion in the intermediate and the Bohm regions is caused by thermally excited convective motions.
Related Papers (5)
Negative temperature states for the two-dimensional guiding-centre plasma
Glenn Joyce,David R. Montgomery +1 more