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:

Cosmological Macrostructures and Properties of Solutions of the Vlasov-Poisson System of Equations

Nikolay N. Fimin
Journal of High Energy Physics, Gravitation and Cosmology 12 (01) 322 (2026)
https://doi.org/10.4236/jhepgc.2026.121021

Metastability of stratified magnetohydrostatic equilibria and their relaxation

D.N. Hosking, D. Wasserman and S.C. Cowley
Journal of Plasma Physics 91 (1) (2025)
https://doi.org/10.1017/S0022377824001521

Description length of canonical and microcanonical models

Francesca Giuffrida, Tiziano Squartini, Peter Grünwald and Diego Garlaschelli
Physical Review Research 7 (4) (2025)
https://doi.org/10.1103/1sd2-rxmy

Thermodynamics of Fluid Elements in the Context of Turbulent Isothermal Self-Gravitating Molecular Clouds in Virial Equilibrium

Sava D. Donkov, Ivan Zhivkov Stefanov and Valentin Kopchev
Universe 11 (12) 383 (2025)
https://doi.org/10.3390/universe11120383

Relaxation to universal non-Maxwellian equilibria in a collisionless plasma

Robert J. Ewart, Michael L. Nastac, Pablo J. Bilbao, Thales Silva, Luís O. Silva and Alexander A. Schekochihin
Proceedings of the National Academy of Sciences 122 (17) (2025)
https://doi.org/10.1073/pnas.2417813122

Analysis of the fractional relativistic isothermal gas sphere with application to neutron stars

Mohamed I. Nouh, Emad A-B. Abdel-Salam, Abaker A. Hassaballa and Mohamed S. Jazmati
Open Physics 23 (1) (2025)
https://doi.org/10.1515/phys-2025-0170

Thermodynamics of Fluid Elements in the Context of Turbulent Isothermal Self-Gravitating Molecular Clouds

Sava Donkov, Ivan Zh. Stefanov and Valentin Kopchev
Universe 11 (6) 184 (2025)
https://doi.org/10.3390/universe11060184

TESTING AN ENTROPY ESTIMATOR RELATED TO THE DYNAMICAL STATE OF GALAXY CLUSTERS

J. M. Zúñiga, C. A. Caretta, A. P. González and E. García-Manzanárez
Revista Mexicana de Astronomía y Astrofísica 60 (1) 141 (2024)
https://doi.org/10.22201/ia.01851101p.2024.60.01.11

Determinism of genesis of large-scale structures in astrophysics

Nikolay Nikolaevich Fimin and Valery Mihailovich Chechetkin
Keldysh Institute Preprints (67) 1 (2023)
https://doi.org/10.20948/prepr-2023-67

Kinetic theory of collisionless relaxation for systems with long-range interactions

Pierre-Henri Chavanis
Physica A: Statistical Mechanics and its Applications 606 128089 (2022)
https://doi.org/10.1016/j.physa.2022.128089

Self-gravitating clusters of Bose-Einstein gas with planar, cylindrical, or spherical symmetry: Gaseous density profiles and onset of condensation

Michael Kirejczyk, Gerhard Müller and Pierre-Henri Chavanis
Physical Review E 105 (3) (2022)
https://doi.org/10.1103/PhysRevE.105.034145

Thermal equilibrium states and instability of self-gravitating particles in an asymptotically AdS spacetime

Hiroki Asami and Chul-Moon Yoo
Classical and Quantum Gravity 38 (16) 165014 (2021)
https://doi.org/10.1088/1361-6382/ac129e

Relativistic gravitational phase transitions and instabilities of the Fermi gas

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

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

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

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)
https://doi.org/10.1088/1751-8113/50/1/015001

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)
https://doi.org/10.20948/prepr-2016-78

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)
https://doi.org/10.1093/mnras/stu2346

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)
https://doi.org/10.1103/PhysRevD.92.123527

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)
https://doi.org/10.1140/epje/i2014-14026-1

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) (2013)
https://doi.org/10.1063/1.4801051

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)
https://doi.org/10.1007/s10509-012-1221-4

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)
https://doi.org/10.1140/epjb/e2012-21012-9

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)
https://doi.org/10.1007/s10509-011-0727-5

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)
https://doi.org/10.1103/PhysRevE.81.051103

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)
https://doi.org/10.1088/1742-6596/201/1/012009

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)
https://doi.org/10.1016/j.physa.2009.02.045

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)
https://doi.org/10.1140/epjb/e2009-00180-9

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)
https://doi.org/10.1140/epjb/e2009-00196-1

Instability in Models Connected with Fluid Flows II

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

Cluster Formation in Contracting Molecular Clouds

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

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)
https://doi.org/10.1103/PhysRevE.73.066103

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)
https://doi.org/10.1086/508794

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

P. H. Chavanis
Astronomy & Astrophysics 451 (1) 109 (2006)
https://doi.org/10.1051/0004-6361:20054008

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)
https://doi.org/10.1103/PhysRevE.73.066104

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)
https://doi.org/10.1016/j.physa.2005.06.087

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)
https://doi.org/10.1016/j.physa.2006.01.006

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)
https://doi.org/10.1016/j.physa.2005.06.088

A Nonextensive Entropy Approach to Solar Wind Intermittency

M. P. Leubner and Z. Voros
The Astrophysical Journal 618 (1) 547 (2005)
https://doi.org/10.1086/425893

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)
https://doi.org/10.1103/PhysRevE.72.026105

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)
https://doi.org/10.1016/j.physa.2005.03.046

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)
https://doi.org/10.1016/j.physa.2005.02.060

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

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

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)
https://doi.org/10.1140/epjb/e2005-00234-0

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)
https://doi.org/10.1016/j.newast.2005.01.005

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

Pierre-Henri Chavanis
Physica A: Statistical Mechanics and its Applications 332 89 (2004)
https://doi.org/10.1016/j.physa.2003.09.061

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

M. P. Leubner
Physics of Plasmas 11 (4) 1308 (2004)
https://doi.org/10.1063/1.1667501

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

M. P. Leubner
The Astrophysical Journal 604 (1) 469 (2004)
https://doi.org/10.1086/381867

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)
https://doi.org/10.1088/0264-9381/21/22/018

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)
https://doi.org/10.1016/j.physa.2004.04.039

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)
https://doi.org/10.1016/j.physa.2004.04.102

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

Pierre-Henri Chavanis
Physical Review E 68 (3) 036108 (2003)
https://doi.org/10.1103/PhysRevE.68.036108

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)
https://doi.org/10.1007/3-540-45835-2_8