### Abstract

This paper reviews our recent molecular dynamics simulation studies of the static and dynamical behaviour of classical bilayers in their liquid phase. The pair correlation functions obtained in the static calculations make it possible to trace the structural changes of the system as well as to calculate the energy and static structure functions of the bilayer. The dynamical calculations show the existence of two (in-phase and out-of-phase) longitudinal and two (in-phase and out-of-phase) transverse collective modes. We present the full dispersion relations for these modes at different layer separations. At low layer separations the out-of-phase modes are found to possess a finite frequency at wave numbers k → 0, confirming the existence of the long-wavelength energy gap in the bilayer system predicted by the quasi-localized charge approximation. It is only at higher layer separations that the dominant portion of the longitudinal out-of-phase mode is well approximated by the acoustic behaviour, resulting from the random phase approximation theory.

Original language | English |
---|---|

Pages (from-to) | 5877-5885 |

Number of pages | 9 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 36 |

Issue number | 22 SPEC.ISS. |

DOIs | |

Publication status | Published - Jun 6 2003 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Physics A: Mathematical and General*,

*36*(22 SPEC.ISS.), 5877-5885. https://doi.org/10.1088/0305-4470/36/22/307

**Simulations of strongly coupled charged particle systems : Static and dynamical properties of classical bilayers.** / Donkó, Z.; Hartmann, Péter; Kalman, Gabor J.; Golden, Kenneth I.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 36, no. 22 SPEC.ISS., pp. 5877-5885. https://doi.org/10.1088/0305-4470/36/22/307

}

TY - JOUR

T1 - Simulations of strongly coupled charged particle systems

T2 - Static and dynamical properties of classical bilayers

AU - Donkó, Z.

AU - Hartmann, Péter

AU - Kalman, Gabor J.

AU - Golden, Kenneth I.

PY - 2003/6/6

Y1 - 2003/6/6

N2 - This paper reviews our recent molecular dynamics simulation studies of the static and dynamical behaviour of classical bilayers in their liquid phase. The pair correlation functions obtained in the static calculations make it possible to trace the structural changes of the system as well as to calculate the energy and static structure functions of the bilayer. The dynamical calculations show the existence of two (in-phase and out-of-phase) longitudinal and two (in-phase and out-of-phase) transverse collective modes. We present the full dispersion relations for these modes at different layer separations. At low layer separations the out-of-phase modes are found to possess a finite frequency at wave numbers k → 0, confirming the existence of the long-wavelength energy gap in the bilayer system predicted by the quasi-localized charge approximation. It is only at higher layer separations that the dominant portion of the longitudinal out-of-phase mode is well approximated by the acoustic behaviour, resulting from the random phase approximation theory.

AB - This paper reviews our recent molecular dynamics simulation studies of the static and dynamical behaviour of classical bilayers in their liquid phase. The pair correlation functions obtained in the static calculations make it possible to trace the structural changes of the system as well as to calculate the energy and static structure functions of the bilayer. The dynamical calculations show the existence of two (in-phase and out-of-phase) longitudinal and two (in-phase and out-of-phase) transverse collective modes. We present the full dispersion relations for these modes at different layer separations. At low layer separations the out-of-phase modes are found to possess a finite frequency at wave numbers k → 0, confirming the existence of the long-wavelength energy gap in the bilayer system predicted by the quasi-localized charge approximation. It is only at higher layer separations that the dominant portion of the longitudinal out-of-phase mode is well approximated by the acoustic behaviour, resulting from the random phase approximation theory.

UR - http://www.scopus.com/inward/record.url?scp=0037840222&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037840222&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/36/22/307

DO - 10.1088/0305-4470/36/22/307

M3 - Article

VL - 36

SP - 5877

EP - 5885

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 22 SPEC.ISS.

ER -