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):

Relativistic gravothermal instabilities

Zacharias Roupas
Classical and Quantum Gravity 32 (13) 135023 (2015)
DOI: 10.1088/0264-9381/32/13/135023
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

Statistical mechanics and thermodynamic limit of self-gravitating fermions inDdimensions

Pierre-Henri Chavanis
Physical Review E 69 (6) 066126 (2004)
DOI: 10.1103/PhysRevE.69.066126
See this article

Newtonian gravity in d dimensions

Pierre-Henri Chavanis
Comptes Rendus Physique 7 (3-4) 331 (2006)
DOI: 10.1016/j.crhy.2006.01.005
See this article

Dynamical and thermodynamical stability of two-dimensional flows: variational principles and relaxation equations

P. H. Chavanis
The European Physical Journal B 70 (1) 73 (2009)
DOI: 10.1140/epjb/e2009-00196-1
See this article

Dynamical stability of systems with long-range interactions: application of the Nyquist method to the HMF model

P. H. Chavanis and L. Delfini
The European Physical Journal B 69 (3) 389 (2009)
DOI: 10.1140/epjb/e2009-00180-9
See this article

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

Power distributions for self-gravitating astrophysical systems based on nonextensive Tsallis kinetics

A. V. Kolesnichenko
Solar System Research 51 (2) 127 (2017)
DOI: 10.1134/S0038094617020046
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

Hamiltonian and Brownian systems with long-range interactions: II. Kinetic equations and stability analysis

Pierre-Henri Chavanis
Physica A: Statistical Mechanics and its Applications 361 (1) 81 (2006)
DOI: 10.1016/j.physa.2005.06.088
See this article

On the rotation curves for axially symmetric disc solutions of the Vlasov–Poisson system

Håkan Andréasson and Gerhard Rein
Monthly Notices of the Royal Astronomical Society 446 (4) 3932 (2015)
DOI: 10.1093/mnras/stu2346
See this article

Maximum-Entropy Networks

Tiziano Squartini and Diego Garlaschelli
SpringerBriefs in Complexity, Maximum-Entropy Networks 89 (2017)
DOI: 10.1007/978-3-319-69438-2_5
See this article

Coarse-grained distributions and superstatistics

Pierre-Henri Chavanis
Physica A: Statistical Mechanics and its Applications 359 177 (2006)
DOI: 10.1016/j.physa.2005.06.043
See this article

Quasi-stationary states and incomplete violent relaxation in systems with long-range interactions

Pierre-Henri Chavanis
Physica A: Statistical Mechanics and its Applications 365 (1) 102 (2006)
DOI: 10.1016/j.physa.2006.01.006
See this article

Fluid-like entropy and equilibrium statistical mechanics of self-gravitating systems

Dong-Biao Kang and Ping He
Monthly Notices of the Royal Astronomical Society no (2011)
DOI: 10.1111/j.1365-2966.2011.18920.x
See this article

On a unified theory of cold dark matter halos based on collisionless Boltzmann–Poisson polytropes

J. Calvo, E. Florido, O. Sánchez, et al.
Physica A: Statistical Mechanics and its Applications 388 (12) 2321 (2009)
DOI: 10.1016/j.physa.2009.02.045
See this article

Gravothermal catastrophe: The dynamical stability of a fluid model

M. C. Sormani and G. Bertin
Astronomy & Astrophysics 552 A37 (2013)
DOI: 10.1051/0004-6361/201220665
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

On the lifetime of metastable states in self-gravitating systems

P. H. Chavanis
Astronomy & Astrophysics 432 (1) 117 (2005)
DOI: 10.1051/0004-6361:20041114
See this article

Core‐Halo Distribution Functions: A Natural Equilibrium State in Generalized Thermostatistics

M. P. Leubner
The Astrophysical Journal 604 (1) 469 (2004)
DOI: 10.1086/381867
See this article

Hamiltonian and Brownian systems with long-range interactions: I Statistical equilibrium states and correlation functions

Pierre-Henri Chavanis
Physica A: Statistical Mechanics and its Applications 361 (1) 55 (2006)
DOI: 10.1016/j.physa.2005.06.087
See this article

Dynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model

P. H. Chavanis, J. Vatteville and F. Bouchet
The European Physical Journal B 46 (1) 61 (2005)
DOI: 10.1140/epjb/e2005-00234-0
See this article

Dissipationless collapse of a set ofNmassive particles

Fabrice Roy and Jérôme Perez
Monthly Notices of the Royal Astronomical Society 348 (1) 62 (2004)
DOI: 10.1111/j.1365-2966.2004.07294.x
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

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

Generalized canonical ensembles and ensemble equivalence

M. Costeniuc, R. S. Ellis, H. Touchette and B. Turkington
Physical Review E 73 (2) 026105 (2006)
DOI: 10.1103/PhysRevE.73.026105
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

Jeans' criterion and nonextensive velocity distribution function in kinetic theory

Du Jiulin
Physics Letters A 320 (5-6) 347 (2004)
DOI: 10.1016/j.physleta.2003.11.047
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

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

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

Nonplanar ion-acoustic Gardner solitons in a pair-ion plasma with nonextensive electrons and positrons

Uday Narayan Ghosh, Deb Kumar Ghosh, Prasanta Chatterjee, Mustapha Bacha and Mouloud Tribeche
Astrophysics and Space Science 343 (1) 265 (2013)
DOI: 10.1007/s10509-012-1221-4
See this article

Dark matter distribution function from non-extensive statistical mechanics

Steen H. Hansen, Daniel Egli, Lukas Hollenstein and Christoph Salzmann
New Astronomy 10 (5) 379 (2005)
DOI: 10.1016/j.newast.2005.01.005
See this article

Models of dark matter halos based on statistical mechanics: The fermionic King model

Pierre-Henri Chavanis, Mohammed Lemou and Florian Méhats
Physical Review D 92 (12) (2015)
DOI: 10.1103/PhysRevD.92.123527
See this article

Statistical mechanics and phase diagrams of rotating self-gravitating fermions

P. H. Chavanis and M. Rieutord
Astronomy & Astrophysics 412 (1) 1 (2003)
DOI: 10.1051/0004-6361:20031333
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

Cluster Formation in Contracting Molecular Clouds

E. M. Huff and Steven W. Stahler
The Astrophysical Journal 666 (1) 281 (2007)
DOI: 10.1086/520574
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

Supernovae: An example of complexity in the physics of compressible fluids

Yves Pomeau, Martine Le Berre, Pierre-Henri Chavanis and Bruno Denet
The European Physical Journal E 37 (4) (2014)
DOI: 10.1140/epje/i2014-14026-1
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

Self‐Gravitating Gas Spheres in a Box and Relativistic Clusters: Relation between Dynamical and Thermodynamical Stability

Gennady S. Bisnovatyi‐Kogan and Marco Merafina
The Astrophysical Journal 653 (2) 1445 (2006)
DOI: 10.1086/508794
See this article

Fundamental issues on kappa-distributions in space plasmas and interplanetary proton distributions

M. P. Leubner
Physics of Plasmas 11 (4) 1308 (2004)
DOI: 10.1063/1.1667501
See this article

Ensemble nonequivalence in random graphs with modular structure

Diego Garlaschelli, Frank den Hollander and Andrea Roccaverde
Journal of Physics A: Mathematical and Theoretical 50 (1) 015001 (2017)
DOI: 10.1088/1751-8113/50/1/015001
See this article

Power-law stellar distributions

J.A.S. Lima and R.E. de Souza
Physica A: Statistical Mechanics and its Applications 350 (2-4) 303 (2005)
DOI: 10.1016/j.physa.2004.10.042
See this article

Stabilization and stability for the spherically symmetric Navier–Stokes–Poisson system

B. Ducomet and A. Zlotnik
Applied Mathematics Letters 18 (10) 1190 (2005)
DOI: 10.1016/j.aml.2004.12.002
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

White dwarf stars inDdimensions

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

Phase transitions in self-gravitating systems and bacterial populations with a screened attractive potential

P. H. Chavanis and L. Delfini
Physical Review E 81 (5) 051103 (2010)
DOI: 10.1103/PhysRevE.81.051103
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

Self-gravitating Brownian systems and bacterial populations with two or more types of particles

Julien Sopik, Clément Sire and Pierre-Henri Chavanis
Physical Review E 72 (2) 026105 (2005)
DOI: 10.1103/PhysRevE.72.026105
See this article

Breaking of Ensemble Equivalence in Networks

Tiziano Squartini, Joey de Mol, Frank den Hollander and Diego Garlaschelli
Physical Review Letters 115 (26) (2015)
DOI: 10.1103/PhysRevLett.115.268701
See this article

Chapman–Enskog derivation of the generalized Smoluchowski equation

Pierre-Henri Chavanis, Philippe Laurençot and Mohammed Lemou
Physica A: Statistical Mechanics and its Applications 341 145 (2004)
DOI: 10.1016/j.physa.2004.04.102
See this article

Nonconcave entropies from generalized canonical ensembles

Marius Costeniuc, Richard S. Ellis and Hugo Touchette
Physical Review E 74 (1) 010105 (2006)
DOI: 10.1103/PhysRevE.74.010105
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

Generalized thermodynamics and kinetic equations: Boltzmann, Landau, Kramers and Smoluchowski

Pierre-Henri Chavanis
Physica A: Statistical Mechanics and its Applications 332 89 (2004)
DOI: 10.1016/j.physa.2003.09.061
See this article

Jeans’ criterion in nonextensive statistical mechanics

Du Jiulin
Physica A: Statistical Mechanics and its Applications 335 (1-2) 107 (2004)
DOI: 10.1016/j.physa.2003.11.027
See this article

The full Zakharov equations in nonextensive q-plasma

Xiao-Lan Liu and Xiao-Qing Li
Physics of Plasmas 21 (2) 022306 (2014)
DOI: 10.1063/1.4865221
See this article

Higher order nonlinear equations for the dust-acoustic waves in a dusty plasma with two temperature-ions and nonextensive electrons

M. Emamuddin, S. Yasmin and A. A. Mamun
Physics of Plasmas 20 (4) 043705 (2013)
DOI: 10.1063/1.4801051
See this article

On the coarse-grained evolution of collisionless stellar systems

P. H. Chavanis and F. Bouchet
Astronomy & Astrophysics 430 (3) 771 (2005)
DOI: 10.1051/0004-6361:20041462
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

Thermodynamics and dynamics of a 1-D gravitational system

P. Valageas
Astronomy & Astrophysics 450 (2) 445 (2006)
DOI: 10.1051/0004-6361:20054472
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

On the definition of the power-law of particle distribution and of the criterion of thermal stability for self-gravitating astrophysical systems within the limits of non-extensive kinetics

Aleksandr Vladimirovich Kolesnichenko
Keldysh Institute Preprints (78) 1 (2016)
DOI: 10.20948/prepr-2016-78
See this article

The nonextensive parameter and Tsallis distribution for self-gravitating systems

Du Jiulin
Europhysics Letters (EPL) 67 (6) 893 (2004)
DOI: 10.1209/epl/i2004-10145-2
See this article

A general relativistic approach to the Navarro–Frenk–White galactic halos

Tonatiuh Matos, Darío Núñez and Roberto A Sussman
Classical and Quantum Gravity 21 (22) 5275 (2004)
DOI: 10.1088/0264-9381/21/22/018
See this article

A Nonextensive Entropy Approach to Solar Wind Intermittency

M. P. Leubner and Z. Voros
The Astrophysical Journal 618 (1) 547 (2005)
DOI: 10.1086/425893
See this article

Lynden-Bell and Tsallis distributions for the HMF model

P. H. Chavanis
The European Physical Journal B 53 (4) 487 (2006)
DOI: 10.1140/epjb/e2006-00405-5
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

Relativistic gravitational phase transitions and instabilities of the Fermi gas

Zacharias Roupas and Pierre-Henri Chavanis
Classical and Quantum Gravity 36 (6) 065001 (2019)
DOI: 10.1088/1361-6382/ab04e5
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

Instability in Models Connected with Fluid Flows II

Alexander Zlotnik
International Mathematical Series, Instability in Models Connected with Fluid Flows II 7 329 (2008)
DOI: 10.1007/978-0-387-75219-8_7
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

Antonov problem and quasi-equilibrium states in an N-body system

A. Taruya and M.-a. Sakagami
Monthly Notices of the Royal Astronomical Society 364 (3) 990 (2005)
DOI: 10.1111/j.1365-2966.2005.09635.x
See this article