skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Thermodynamic and Kinetic Properties of Shocks in Two-Dimensional Yukawa Systems

Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 2; Related Information: CHORUS Timestamp: 2017-06-25 03:58:11; Journal ID: ISSN 0031-9007
American Physical Society
Country of Publication:
United States

Citation Formats

Marciante, M., and Murillo, M. S. Thermodynamic and Kinetic Properties of Shocks in Two-Dimensional Yukawa Systems. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.118.025001.
Marciante, M., & Murillo, M. S. Thermodynamic and Kinetic Properties of Shocks in Two-Dimensional Yukawa Systems. United States. doi:10.1103/PhysRevLett.118.025001.
Marciante, M., and Murillo, M. S. Tue . "Thermodynamic and Kinetic Properties of Shocks in Two-Dimensional Yukawa Systems". United States. doi:10.1103/PhysRevLett.118.025001.
title = {Thermodynamic and Kinetic Properties of Shocks in Two-Dimensional Yukawa Systems},
author = {Marciante, M. and Murillo, M. S.},
abstractNote = {},
doi = {10.1103/PhysRevLett.118.025001},
journal = {Physical Review Letters},
number = 2,
volume = 118,
place = {United States},
year = {Tue Jan 10 00:00:00 EST 2017},
month = {Tue Jan 10 00:00:00 EST 2017}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevLett.118.025001

Citation Metrics:
Cited by: 2works
Citation information provided by
Web of Science

Save / Share:
  • Properties of two-dimensional strongly coupled Yukawa systems are explored through molecular dynamics simulations. An effective coupling coefficient {gamma}{sup *} for the liquid phase is introduced on the basis of the constancy of the first peak amplitude of the pair-correlation functions. Thermodynamic quantities are calculated from the pair-correlation function. The solid-liquid transition of the system is investigated through the analysis of the bond-angular order parameter. The static structure function satisfies consistency relation, attesting to the reliability of the computational method. The response is shown to be governed by the correlational part of the inverse compressibility. An analysis of the velocity autocorrelationmore » demonstrates that this latter also exhibits a universal behavior.« less
  • Charged particle guiding center motion is considered in the magnetic field of a two-dimensional (`line`) dipole on which is superimposed a small, static, perpendicular electric field. The parallel equation of motion is that of a simple harmonic oscillator for cos{theta}, the cosine of magnetic colatitude. Equations for the perpendicular electric and magnetic drifts are derived as well as their bounce-averaged forms. The latter are solved to yield a bounce-averaged guiding center trajectory, which is the same as that obtained from conservation of magnetic moment {mu}, longitudinal invariant J, and total (kinetic plus electrostatic) energy K. The algebraic simplicity of themore » trajectory equations is also manifest in the forms of the invariants. An interesting result is that guiding centers drift in such a way that they preserve the values of their equatorial pitch angles and (equivalently) mirror latitudes. The most general Maxwellian form of the equilibrium one-particle distribution function f is constructed from the invariants, and spatially varying density and pressure moments, parallel and perpendicular to the magnetic field, are identified. Much of the paper deals with the more restricted problem in which f is specified as a bi-Maxwellian over a straight line of finite length in the equatorial plane of the dipole and perpendicular to field lines. This might be thought of as specifying a cross-tail ion injection source; the authors formalism then describes the subsequent spatial development. The distribution away from the source is a scaled bi-Maxwellian but one that is cut off at large and small kinetic energies, which depend on position. Density and pressure components are reduced from the values they would have if the total content of individual flux tubes convected intact. The equatorial and meridional variations of density and pressure components are examined and compared systematically for the isotropic and highly anisotropic situations. 22 refs., 10 figs.« less
  • The results of numerical study of physical characteristics (the pair and triplet correlation functions, the isothermal compressibility, the heat capacities, and the diffusion constants) are presented for quasi-2D dissipative Yukawa systems. The specific features of these characteristics (reflecting the two-stage melting scenario) are investigated.
  • The shear viscosity of a two-dimensional (2D) liquid was calculated using molecular dynamics simulations with a Yukawa potential. The viscosity has a minimum at a Coulomb coupling parameter {gamma} of about 17, arising from the temperature dependence of the kinetic and potential contributions. Previous calculations of 2D viscosity were less extensive as well as for a different potential. The stress autocorrelation function was found to decay rapidly, contrary to earlier work. These results are useful for 2D condensed matter systems and are compared to a dusty plasma experiment.
  • In this article, the author derive Ewald sums for Yukawa potential for three-dimensional systems with two-dimensional periodicity. This sums are derived from the Ewald sums for Yukawa potentials with three-dimensional periodicity [G. Salin and J.-M. Caillol, J. Chem. Phys.113, 10459 (2000)] by using the method proposed by Parry for the Coulomb interactions [D. E. Parry, Surf. Sci.49, 433 (1975); 54, 195 (1976)].