Abstract
For a system of noninteracting particles being initially in a spherical volume of a given radius, the density evolution and the distribution function are considered for various initial conditions. In particular, the conditions under which the density during free expansion of a sphere-shaped cloud of noninteracting particles remains spatially constant, while the boundary remains sharp, are determined. Alternative variants of free spherically symmetric expansion of a particle cloud are considered. The results of this consideration are applicable to various problems of the centrosymmetric explosion, and have astrophysical applications.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ya. B. Zeldovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Nauka, Moscow, 1966) [in Russian].
K. P. Stanyukovich, Unsteady Motion of ContinuousMedium (Gostekhizdat, Moscow, 1955) [in Russian].
L. Tinti, “AnisotropicMatching Principle for the Hydrodynamics Expansion,” 2015; arXiv:1506.07164 v1.
J. Peralta-Ramos and E. Calzetta, Phys. Rev. D 87 034003 2013.
L. I. Schiff, Phys. Rev. Lett. 1 254 1958.
R. W. Brown and F.W. Stecker, Phys. Rev. Lett. 43 315 1979.
J. M. Ripalda, “On the Possibility of Repulsive Gravitational Interaction between Matter and Antimatter,” 2001; http://arxivorg/abs/gr-qc/9906012.
G. G. Chardin and J.-M. Rax, Phys. Lett. B 282 256 1992.
A. Benoit-Levy and G. Chardin, Astron. Astrophys. 537 1 2012.
S. A. Triger, Yu. A. Gribov, and A. A. Rukhadze, Inzhenernaya Fizika 9 22 2015.
A. G. Cohen, A. de Rujula, and S. L. Glashow, Astrophys. J. 495 539 1998.
S. Perlmutter et al., Astrophys. J. 517, 565 (1999).
A. G. Riess et al., Astron. J. 116, 1009 (1998).
S. A. Trigger and I. A. Gribov, “Jeans instability and antiscreening in the system of matter-antimatter with antigravitation,” J. Phys. Conf. Series (2015) (in press).
H. Alfven, J. Astrophys. Astron. 5, 79 (1984).
G. B. Andresen et al., Nat. Phys. 7, 55 (2011).
S. Aghion et al., “Prospects for Measuring the Gravitational Free-Fall of Antihydrogen with Emulsion Detectors,” 2013; http://arxivorg/pdf/1306.5602.
G. Chardin et al., Preprint CERN-SPSC-2011-029/SPSC-P-342, 2011.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.M. Ignatov, S.A. Trigger, 2016, published in Kratkie Soobshcheniya po Fizike, 2016, Vol. 43, No. 7, pp. 38–46.
About this article
Cite this article
Ignatov, A.M., Trigger, S.A. Density and velocity distribution function for freely expanding matter. Bull. Lebedev Phys. Inst. 43, 232–236 (2016). https://doi.org/10.3103/S1068335616070058
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068335616070058