To the Statistical Description of the Structure Formation in Coulomb-like Systems

Authors

  • B.I. Lev Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • A.G. Zagorodny Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine

DOI:

https://doi.org/10.15407/ujpe56.7.700

Keywords:

-

Abstract

A new solution to the problem of the calculation of the partition function for a Coulomb-like system is proposed. The quantum-field-theory approach is used to give a statistical description of a system of interacting particles with due regard to an arbitrary spatially inhomogeneous configuration. The formation of structures in a Coulomb-like system is analyzed and applied to the
dusty plasma treatment. A necessary condition for the crystal formation in a three-dimensional system of dust particles is obtained. In the one-dimensional case, an exact solution for the spatial distribution of charged particles is presented.

References

P.-H. Chavanis, Astron. Astrophys. 432, 117 (2005).

https://doi.org/10.1051/0004-6361:20041114

V.E. Fortov, Uspekhi Fiz. Nauk 177, 347 (2007).

https://doi.org/10.3367/UFNr.0177.200704c.0347

V.E. Fortov, A.V. Ivlev, S.A. Khrapak, A.G. Khrapak, and G.E. Morfill, Phys. Rep. 421, 1 (2005).

https://doi.org/10.1016/j.physrep.2005.08.007

G.E. Morfill, H.M. Thomas, U. Konopka, and M. Zuzic, Phys. Plasmas 6, 1769 (1999).

https://doi.org/10.1063/1.873435

S.V. Vladimirov, S.A. Khrapak, M. Chaudhuri, and G.E. Morfill, Phys. Rev. Lett. 100, 055002 (2008).

https://doi.org/10.1103/PhysRevLett.100.055002

H. Thomas, G.E. Morfill, V. Demmel, B. Feuerbacher, and D. Mohlmann, Phys. Rev. Lett. 73, 652 (1994).

https://doi.org/10.1103/PhysRevLett.73.652

J.H. Chu and I. Lin, Phys. Rev. Lett. 72, 4009 (1994).

https://doi.org/10.1103/PhysRevLett.72.4009

A. Melzer, T. Trottenberg, and A. Piel, Phys. Lett. A 191, 301 (1994).

https://doi.org/10.1016/0375-9601(94)90144-9

H. Totsuji, T. Kishimoto, and G. Totsuji, Phys. Rev. Lett. 78, 3113 (1997).

https://doi.org/10.1103/PhysRevLett.78.3113

H. Ikezi, Phys. Fluids 29, 1764 (1986).

https://doi.org/10.1063/1.865653

A. Melzer, A. Homann, and A. Piel, Phys. Rev. E 53, 3137 (1998).

B.I. Lev and A.G. Zagorodny, Phys. Lett. 373, 158 (2009).

A.G. Sitenko, A.G. Zagorodny, and V.N. Tsytovich, in International Conference on Plasma Physics 1994, edited by P. H. Sakanaka and M. Tendler, (AIP, Woodbury, NY, 1995), p. 311.

T. Padmanabhan, Phys. Rep. 188, 285 (1990).

https://doi.org/10.1016/0370-1573(90)90051-3

Y.D. Bilotsky and B.I. Lev, Teor. Math. Fiz. 60, 120 (1984).

B.I. Lev and A.Yu. Zhugaevich, Phys. Rev. E 57, 6460 (1998).

https://doi.org/10.1103/PhysRevE.57.6460

H. Kleinert, Gauge Field in Condensed Matter (World Scientific, Singapore, 1989).

https://doi.org/10.1142/0356

R.L. Stratonovich, Sov. Phys. Dokl. 2, 416 (1984).

M. Kiessling, J. Stat. Phys. 55, 203 (1989).

https://doi.org/10.1007/BF01042598

R.J. Baxter, Exactly Solved Models in Statistical Mechanics (Acad. Press, New York, 1982).

D. Ruelle, Statistical Mechanics. Rigorous Results (Benjamin, New York, 1969).

V.B. Magalinsky, JETP 21, 167 (1965).

https://doi.org/10.1017/S0362152900017682

A. Isihara, Statistical Physics (Acad. Press, New York, 1971).

K. Huang, Statistical Mechanics (Wiley, New York, 1963).

G.B. Whitham, Linear and Nonlinear Waves (Wiley-Interscience, New York, 1974).

Downloads

Published

2022-02-09

How to Cite

Lev, B., & Zagorodny, A. (2022). To the Statistical Description of the Structure Formation in Coulomb-like Systems. Ukrainian Journal of Physics, 56(7), 700. https://doi.org/10.15407/ujpe56.7.700

Issue

Section

General problems of theoretical physics

Most read articles by the same author(s)

1 2 > >>