Results 21 to 30 of about 398,638 (331)
Physical Correlations Lead to Kappa Distributions
Abstract The recently developed concept of “entropic defect” is important for understanding the foundations of thermodynamics in space plasma physics, and more generally for systems with physical correlations among their particles. Using this concept, this paper derives the basic formulation of the distribution function of velocities (or
G. Livadiotis, D. J. McComas
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Map of suprathermal onto nonextensive parameters describing Langmuir waves
We propose a polytropic-like index that depends on the concentration and number of degrees of freedom of a gas of charged particles following a nonextensive distribution.
F.E.M. Silveira, M.H. Benetti
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A three-component plasma composed of nonthermal Kappa-distributed electrons, mobile ions, stationary and dust-fluctuating (spherical) dust particles is considered.
M. Kamran +4 more
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Maximum relative height of one-dimensional interfaces : from Rayleigh to Airy distribution [PDF]
We introduce an alternative definition of the relative height h^\kappa(x) of a one-dimensional fluctuating interface indexed by a continuously varying real paramater 0 \leq \kappa \leq 1.
Abramowitz M +11 more
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Bayesian Inference in Extremes Using the Four-Parameter Kappa Distribution
Maximum likelihood estimation (MLE) of the four-parameter kappa distribution (K4D) is known to be occasionally unstable for small sample sizes and to be very sensitive to outliers.
Palakorn Seenoi +2 more
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Relativistic Kappa Distribution Effects on Dust Charging in Critical Areas of Dusty Plasma [PDF]
The process of dust grain charging with the help the orbit limited motion theory (OLM) and a kinetic model in the relativistic regime considers in the critical areas of the dust grain density when it is very low and vice versa.
Masoud Taherimoghadam, Taghi Mirzaye
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Kappa and q Indices: Dependence on the Degrees of Freedom
The kappa distributions, or their equivalent, the q-exponential distributions, are the natural generalization of the classical Boltzmann-Maxwell distributions, applied to the study of the particle populations in collisionless space plasmas.
George Livadiotis
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Statistics of Binary Exchange of Energy or Money
Why does the Maxwell-Boltzmann energy distribution for an ideal classical gas have an exponentially thin tail at high energies, while the Kaniadakis distribution for a relativistic gas has a power-law fat tail?
Maria Letizia Bertotti +1 more
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Formation of Power-law Energy Spectra in Space Plasmas by Stochastic Acceleration due to Whistler-Mode Waves [PDF]
A non-relativistic Fokker-Planck equation for the electron distribution function is formulated incorporating the effects of stochastic acceleration by whistler-mode waves and Coulomb collisions.
Armstrong +26 more
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Modeling climate extremes using the four-parameter kappa distribution for r-largest order statistics
Accurate estimation of the T-year return levels of climate extremes using statistical distribution is a critical step in the projection of future climate and in engineering design for disaster response.
Yire Shin, Jeong-Soo Park
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