Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere
@article{Burlaga2005TriangleFT, title={Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere}, author={Leonard F. Burlaga and Adolfo F-Vi{\~n}as}, journal={Physica A-statistical Mechanics and Its Applications}, year={2005}, volume={356}, pages={375-384} }
106 Citations
Tsallis distributions of magnetic field strength variations in the heliosphere: 5 to 90 AU
- Physics
- 2007
[1] The Tsallis (q-exponential) distribution function, derived from the entropy principle of nonextensive statistical mechanics, describes fluctuations in the magnetic field strength on many scales…
Tsallis Statistics of the Magnetic Field in the Heliosheath
- Physics
- 2006
The spacecraft Voyager 1 crossed the termination shock on 2004 December 16 at a distance of 94 AU from the Sun, and it has been moving through the heliosheath toward the interstellar medium since…
Non-extensive statistical analysis on solar activity dependence of magnetospheric dynamics
- Physics
- 2018
Möbius Transforms, Cycles and q-triplets in Statistical Mechanics
- MathematicsEntropy
- 2019
The classification that is proposed here hopefully constitutes a useful guideline in the search, for non-BG systems whenever well described through q-indices, of new possibly observable physical properties.
EXPLORING TRANSITIONS OF SPACE PLASMAS OUT OF EQUILIBRIUM
- Physics
- 2010
Space plasmas from the solar wind to planetary magnetospheres and the outer heliosphere are systems in stationary states out of equilibrium. Empirical kappa distributions, which naturally emerge from…
Heliosheath: Diffusion Entropy Analysis and Nonextensivity q-Triplet
- Physics
- 2012
In this paper we investigate the scaling behavior, based on Diffusion Entropy Analysis and Standard Deviation Analysis, of the magnetic field strength fluctuations recorded by Voyager-I in the…
MAGNETIC FIELD STRENGTH FLUCTUATIONS IN THE HELIOSHEATH: VOYAGER 1 OBSERVATIONS DURING 2009
- Physics
- 2011
We analyze the ‘‘microscale fluctuations’’ of the magnetic field strength B on a scale of several hours observed by Voyager1 (V1) in the heliosheath during 2009. The microscale fluctuations of B…
Magnetic Fields in the Heliosheath: Voyager 1 Observations
- Physics
- 2005
Magnetic fields in the heliosheath were observed by Voyager 1 (V1) from 2004 DOY 352 to 2005 125, when V1 moved from 94.04 to 95.24 AU at 34.°1N. The strongest fields (0.31 nT, observed on 2005 DOY…
TSALLIS STATISTICS AS A TOOL FOR STUDYING INTERSTELLAR TURBULENCE
- Physics
- 2010
We used magnetohydrodynamic (MHD) simulations of interstellar turbulence to study the probability distribution functions (PDFs) of increments of density, velocity, and magnetic field. We found that…
Nonextensive statistical mechanics: Applications to high energy physics
- Physics
- 2011
Nonextensive statistical mechanics was proposed in 1988 on the basis of the nonadditive entropy S q = k (1− P i p q )/(q− 1) (q2 R ) which generalizes that of Boltzmann-Gibbs S BG = S 1 =−k P i pi ln…
References
SHOWING 1-10 OF 21 REFERENCES
Multifractal structure of the large-scale heliospheric magnetic field strength fluctuations near 85AU
- Physics, Geology
- 2004
During 2002, the Voyager 1 spacecraft was in the heliosphere between 83.4 and 85.9 AU (1 AU is the mean distance from the Sun to Earth) at 34 N heliographic lat- itude. The magnetic field strength…
Nonextensivity and Multifractality in Low-Dimensional Dissipative Systems
- Physics
- 1998
Power-law sensitivity to initial conditions at the edge of chaos provides a natural relation between the scaling properties of the dynamics attractor and its degree of nonextensivity as prescribed in…
Possible generalization of Boltzmann-Gibbs statistics
- Physics
- 1988
With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelySq ≡k [1 – ∑i=1W piq]/(q-1), whereq∈ℝ characterizes the generalization andpi are the…
Multiscale structure of the magnetic field and speed at 1 AU during the declining phase of solar cycle 23 described by a generalized Tsallis probability distribution function
- Physics
- 2004
[1] This paper describes the multiscale structure of fluctuations in the solar wind speed V and magnetic field strength B at 1 AU in 2003, during the declining phase of the solar cycle 23. As…
Nonextensive statistical mechanics: A brief introduction
- Mathematics
- 2004
Abstract.Boltzmann-Gibbs statistical mechanics is based on the entropy $S_{\rm BG} = -k \sum_{i = 1}^W p_i \ln p_i$. It enables a successful thermal approach to ubiquitous systems, such as those…
Search for the heliosheath with Voyager 1 magnetic field measurements
- Physics, Geology
- 2003
The magnetic field measured by Voyager 1 (V1) near 85 AU from 2002.0 to 2003.17 has the expected properties for the heliospheric magnetic field at that distance and epoch of the solar cycle. These V1…
A Transition to Fast Flows and Its Effects on the Magnetic Fields and Cosmic Rays Observed by Voyager 2 near 70 AU
- Physics
- 2004
A shocklike transition at 2003.37 from quasi-periodic flows to increasingly fast flows was observed by Voyager 2 (V2) near 70 AU. The transition was related to the appearance of coronal holes near…
Energy partition between solar wind protons and pickup ions in the distant heliosphere: A three‐fluid approach
- Physics
- 2001
The solar wind in the outer heliosphere is fundamentally different from that in the inner heliosphere, with the influence from the local interstellar medium becoming significant. Observational…
Nonextensive Entropy: Interdisciplinary Applications
- Physics
- 2004
A great variety of complex phenomena in many scientific fields exhibit power-law behavior, reflecting a hierarchical or fractal structure. Many of these phenomena seem to be susceptible to…