Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Test of nonextensive statistical mechanics by solar sound speeds

Jiulin Du
Europhysics Letters (EPL) 75 (6) 861 (2006)
DOI: 10.1209/epl/i2006-10196-3
See this article

Critique ofq-entropy for thermal statistics

Michael Nauenberg
Physical Review E 67 (3) 036114 (2003)
DOI: 10.1103/PhysRevE.67.036114
See this article

Relativity, nonextensivity, and extended power law distributions

R. Silva and J. A. S. Lima
Physical Review E 72 (5) 057101 (2005)
DOI: 10.1103/PhysRevE.72.057101
See this article

Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. II. Inertial models

Pierre-Henri Chavanis and Clément Sire
Physical Review E 73 (6) 066104 (2006)
DOI: 10.1103/PhysRevE.73.066104
See this article

Constraining nonextensive statistics with plasma oscillation data

R. Silva, J.S. Alcaniz and J.A.S. Lima
Physica A: Statistical Mechanics and its Applications 356 (2-4) 509 (2005)
DOI: 10.1016/j.physa.2005.02.060
See this article

Negative heat capacity and non-extensive kinetic theory

R. Silva and J.S. Alcaniz
Physics Letters A 313 (5-6) 393 (2003)
DOI: 10.1016/S0375-9601(03)00858-2
See this article

Equilibrium and dynamical evolution of a self-gravitating system embedded in a potential well

Ilsang Yoon, Hyung Mok Lee and Jongsuk Hong
Monthly Notices of the Royal Astronomical Society 414 (3) 2728 (2011)
DOI: 10.1111/j.1365-2966.2011.18589.x
See this article

Galaxy stability within a self-interacting dark matter halo

Curtis J. Saxton
Monthly Notices of the Royal Astronomical Society 430 (3) 1578 (2013)
DOI: 10.1093/mnras/sts689
See this article

Dynamical stability of collisionless stellar systems and barotropic stars: the nonlinear Antonov first law

P. H. Chavanis
Astronomy & Astrophysics 451 (1) 109 (2006)
DOI: 10.1051/0004-6361:20054008
See this article

Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes

P. H. Chavanis
Astronomy & Astrophysics 483 (3) 673 (2008)
DOI: 10.1051/0004-6361:20078287
See this article

Polytropic atmospheres and the scaling of potential vorticity

R. Müller and G. Günther
Meteorology and Atmospheric Physics 90 (3-4) 153 (2005)
DOI: 10.1007/s00703-004-0087-6
See this article

Conservative force fields in non-Gaussian statistics

J.M. Silva, R. Silva and J.A.S. Lima
Physics Letters A 372 (36) 5754 (2008)
DOI: 10.1016/j.physleta.2008.07.029
See this article

White dwarf stars inDdimensions

P.-H. Chavanis
Physical Review D 76 (2) 023004 (2007)
DOI: 10.1103/PhysRevD.76.023004
See this article

Gravothermal catastrophe and Tsallis’ generalized entropy of self-gravitating systems. (III). Quasi-equilibrium structure using normalized q-values

Atsushi Taruya and Masa-aki Sakagami
Physica A: Statistical Mechanics and its Applications 322 285 (2003)
DOI: 10.1016/S0378-4371(03)00039-6
See this article

Thermodynamics and collapse of self-gravitating Brownian particles inDdimensions

Clément Sire and Pierre-Henri Chavanis
Physical Review E 66 (4) 046133 (2002)
DOI: 10.1103/PhysRevE.66.046133
See this article

Generalized thermodynamics and Fokker-Planck equations: Applications to stellar dynamics and two-dimensional turbulence

Pierre-Henri Chavanis
Physical Review E 68 (3) 036108 (2003)
DOI: 10.1103/PhysRevE.68.036108
See this article

Cosmological model from the holographic equipartition law with a modified Rényi entropy

Nobuyoshi Komatsu
The European Physical Journal C 77 (4) (2017)
DOI: 10.1140/epjc/s10052-017-4800-2
See this article

Anomalous diffusion and collapse of self-gravitating Langevin particles inDdimensions

Pierre-Henri Chavanis and Clément Sire
Physical Review E 69 (1) 016116 (2004)
DOI: 10.1103/PhysRevE.69.016116
See this article

Nonequilibrium process of self-gravitatingN-body systems and quasi-equilibrium structure using normalizedq-expectation values for Tsallis' generalized entropy

Nobuyoshi Komatsu, Shigeo Kimura and Takahiro Kiwata
Journal of Physics: Conference Series 201 012009 (2010)
DOI: 10.1088/1742-6596/201/1/012009
See this article

Entropic cosmology for a generalized black-hole entropy

Nobuyoshi Komatsu and Shigeo Kimura
Physical Review D 88 (8) (2013)
DOI: 10.1103/PhysRevD.88.083534
See this article

Gravitational instability of isothermal and polytropic spheres

P. H. Chavanis
Astronomy & Astrophysics 401 (1) 15 (2003)
DOI: 10.1051/0004-6361:20021779
See this article

Transition of velocity distributions in collapsing self-gravitatingN-body systems

Nobuyoshi Komatsu, Takahiro Kiwata and Shigeo Kimura
Physical Review E 85 (2) 021132 (2012)
DOI: 10.1103/PhysRevE.85.021132
See this article

Ion acoustic solitary waves in a weakly relativistic plasma with q-nonextensive electrons and thermal positrons

Hamid Reza Pakzad
Astrophysics and Space Science 334 (2) 337 (2011)
DOI: 10.1007/s10509-011-0727-5
See this article

Non-extensive statistics and the stellar polytrope index

R Silva and J.S Alcaniz
Physica A: Statistical Mechanics and its Applications 341 208 (2004)
DOI: 10.1016/j.physa.2004.02.070
See this article

Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. I. Overdamped models

Pierre-Henri Chavanis and Clément Sire
Physical Review E 73 (6) 066103 (2006)
DOI: 10.1103/PhysRevE.73.066103
See this article

Description of quasi-equilibrium states of self-gravitating systems based on non-extensive thermostatistics

Masa-aki Sakagami and Atsushi Taruya
Physica A: Statistical Mechanics and its Applications 340 (1-3) 444 (2004)
DOI: 10.1016/j.physa.2004.04.039
See this article

Stability analysis of mean-field-type nonlinear Fokker-Planck equations associated with a generalized entropy and its application to the self-gravitating system

Masatoshi Shiino
Physical Review E 67 (5) 056118 (2003)
DOI: 10.1103/PhysRevE.67.056118
See this article

On the interpretations of Tsallis functional in connection with Vlasov–Poisson and related systems: Dynamics vs thermodynamics

P.H. Chavanis and C. Sire
Physica A: Statistical Mechanics and its Applications 356 (2-4) 419 (2005)
DOI: 10.1016/j.physa.2005.03.046
See this article

Non-adiabatic-like accelerated expansion of the late universe in entropic cosmology

Nobuyoshi Komatsu and Shigeo Kimura
Physical Review D 87 (4) (2013)
DOI: 10.1103/PhysRevD.87.043531
See this article

Instability of a uniformly collapsing cloud of classical and quantum self-gravitating Brownian particles

Pierre-Henri Chavanis
Physical Review E 84 (3) (2011)
DOI: 10.1103/PhysRevE.84.031101
See this article

Gravitational instability of slowly rotating isothermal spheres

P. H. Chavanis
Astronomy & Astrophysics 396 (1) 315 (2002)
DOI: 10.1051/0004-6361:20021374
See this article

Gravothermal catastrophe and Tsallis’ generalized entropy of self-gravitating systems. (II). Thermodynamic properties of stellar polytrope

Atsushi Taruya and Masa-aki Sakagami
Physica A: Statistical Mechanics and its Applications 318 (3-4) 387 (2003)
DOI: 10.1016/S0378-4371(02)01342-0
See this article

On stationary and radially symmetric solutions to some drift–diffusion equations with nonlocal term

R. Stańczy
Applicable Analysis 95 (1) 97 (2016)
DOI: 10.1080/00036811.2014.998408
See this article

Dynamical stability of infinite homogeneous self-gravitating systems and plasmas: application of the Nyquist method

P.H. Chavanis
The European Physical Journal B 85 (7) 229 (2012)
DOI: 10.1140/epjb/e2012-21012-9
See this article

PHASE TRANSITIONS IN SELF-GRAVITATING SYSTEMS

P. H. CHAVANIS
International Journal of Modern Physics B 20 (22) 3113 (2006)
DOI: 10.1142/S0217979206035400
See this article

Existence and continuous dependence on parameters of radially symmetric solutions to astrophysical model of self‐gravitating particles

Dorota Bors and Robert Stańczy
Mathematical Methods in the Applied Sciences 42 (18) 7381 (2019)
DOI: 10.1002/mma.5856
See this article

Jeans-type instability of a complex self-interacting scalar field in general relativity

Abril Suárez and Pierre-Henri Chavanis
Physical Review D 98 (8) (2018)
DOI: 10.1103/PhysRevD.98.083529
See this article

Thermodynamic Description of a Family of Partially Relaxed Stellar Systems

G. Bertin and M. Trenti
The Astrophysical Journal 584 (2) 729 (2003)
DOI: 10.1086/345889
See this article

Statistical mechanics of the self-gravitating gas in the Tsallis framework

L. F. Escamilla-Herrera, C. Gruber, V. Pineda-Reyes and H. Quevedo
Physical Review E 99 (2) (2019)
DOI: 10.1103/PhysRevE.99.022108
See this article

Dynamics and Thermodynamics of Systems with Long-Range Interactions

Pierre-Henri Chavanis
Lecture Notes in Physics, Dynamics and Thermodynamics of Systems with Long-Range Interactions 602 208 (2002)
DOI: 10.1007/3-540-45835-2_8
See this article

Inhomogeneous Tsallis distributions in the HMF model

P.-H. Chavanis and A. Campa
The European Physical Journal B 76 (4) 581 (2010)
DOI: 10.1140/epjb/e2010-00243-x
See this article

New predictions from the logotropic model

Pierre-Henri Chavanis
Physics of the Dark Universe 24 100271 (2019)
DOI: 10.1016/j.dark.2019.100271
See this article

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas

Pierre-Henri Chavanis
The European Physical Journal Plus 135 (3) (2020)
DOI: 10.1140/epjp/s13360-020-00268-0
See this article

Dynamical stability of giant planets: the critical adiabatic index in the presence of a solid core

Suman Kumar Kundu, Eric R Coughlin, Andrew N Youdin and Philip J Armitage
Monthly Notices of the Royal Astronomical Society 507 (4) 6215 (2021)
DOI: 10.1093/mnras/stab2576
See this article

Isothermal spheres in general relativity and Hořava-type gravity

Nahomi Kan and Kiyoshi Shiraishi
Physical Review D 103 (6) (2021)
DOI: 10.1103/PhysRevD.103.064058
See this article

Models of Particles of the Michie–King Type

D. Bors and R. Stańczy
Communications in Mathematical Physics 382 (2) 1243 (2021)
DOI: 10.1007/s00220-021-03981-8
See this article

Mathematical model for Sagittarius A* and related Tolman–Oppenheimer–Volkoff equations

Dorota Bors and Robert Stańczy
Mathematical Methods in the Applied Sciences (2023)
DOI: 10.1002/mma.9165
See this article

The Principle of Maximum Entropy and the Distribution of Mass in Galaxies

Jorge Sánchez Almeida
Universe 8 (4) 214 (2022)
DOI: 10.3390/universe8040214
See this article

Entropic cosmology for Rényi entropy

Muhammad Naeem, Jamil Ahmed and Aysha Bibi
The European Physical Journal Plus 137 (8) (2022)
DOI: 10.1140/epjp/s13360-022-03169-6
See this article