Wave propagation and Landau-type damping in liquids

• Authors: Vincenzo Molinari , Domiziano Mostacci
• Languages of publication: EN

Abstracts

EN

Intermolecular forces are modeled by means of a modified Lennard-Jones potential, introducing a distance of minimum approach, and the effect of intermolecular interactions is accounted for with a self consistent field of the Vlasov type. A Vlasov equation is then written and used to investigate the propagation of perturbations in a liquid. A dispersion relation is obtained and an effect of damping, analogous to what is known in plasmas as “Landau damping”, is found to take place.

Keywords

EN

Vlasov equation; intermolecular potential; modified Lennard-Jones; wave propagation; wave damping

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 3
• Pages: 669-675

Dates

published

1 - 6 - 2012

online

17 - 6 - 2012

Contributors

author

Vincenzo Molinari

• Laboratorio di Montecuccolino, Alma Mater Studiorum Università di Bologna, Via dei Colli 16, I-40136, Bologna, Italy

author

Domiziano Mostacci

• Laboratorio di Montecuccolino, Alma Mater Studiorum Università di Bologna, Via dei Colli 16, I-40136, Bologna, Italy

References

• [1] M. Grmela, J. Stat. Phys. 3, 347 (1971) http://dx.doi.org/10.1007/BF01011389[Crossref]
• [2] J. Karkheck, J. Chem. Phys. 75, 1475 (1981) http://dx.doi.org/10.1063/1.442154[Crossref]
• [3] A. Frezzotti, L. Gibelli, S. Lorenzani, Phys. Fl. 17, 012102 (2005) http://dx.doi.org/10.1063/1.1824111[Crossref]
• [4] V. Molinari, D. Mostacci, M. Premuda, Eur. Phys. J. B 50, 89 (2006) http://dx.doi.org/10.1140/epjb/e2006-00133-x[Crossref]
• [5] R. L. Liboff, Kinetic Theory. Classical, Quantum, and Relativistic Descriptions (Prentice Hall, Englewood Cliffs, USA, 1990)
• [6] L. D. Landau, J. Phys. USSR 10, 25 (1946)
• [7] N.A. Krall, A.W. Trievelpiece, Principles of plasma physics (McGraw-Hill, New York, 1973)
• [8] Abramowitz, M, Stegun, I.A., Handbook of Mathematical Functions (Dover Publications Inc., New York, 1965)
• [9] J.L. Delcroix, A. Bers, Physique des plasmas (Interèditions, Paris, 1994)
• [10] J.O. Hirschfelder, C.F. Curtis, R.B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1954)
• [11] R. K. Pathria, Statistical Mechanics (Pergamon Press, Oxford U.K., 1972)
• [12] D. Mostacci, V. Molinari, M. Premuda, Eur. Phys. J. B 70, 127 (2009) http://dx.doi.org/10.1140/epjb/e2009-00169-4[Crossref]
• [13] R. P. Feynman, Statistical Mechanics - Frontiers in Physics (W.A. Benjamins, Inc., Reading, Mass., 1972)

Identifiers

DOI

10.2478/s11534-012-0027-x