# 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…

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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…

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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…

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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…

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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…