1. Velocity autocorrelation functions and cage correlation functions of
dust particles in external magnetic
field
K. N. Dzhumagulova’, R. U. Masheeva’,
T.S. Ramazanov’ and Z. Donkó’’
‘ IETP, Al Farabi Kazakh National University
‘’ Institute for Solid State Physics and Optics,
Wigner Research Centre of the Hungarian
Academy of Sciences

2. Yukawa liquids in external magnetic field
Москва, 2014
Yukawa liquids in external magnetic field
MOTIVATION
There is an increasing interest in investigation of the effect of magnetic fields on strongly coupled dusty plasmas.
Theoretical and simulation studies have demonstrated the formation of magnetoplasmons and their higher harmonics in strongly coupled Coulomb and Yukawa systems  Calculate the velocity autocorrelation functions and investigate the fluctuation spectrum on their basis.
There is an interest in investigation of particles oscillations in local minima of the potential landscape  Calculate the caging of particles in strongly-coupled 2D Yukawa liquids.

3. k=a/λD k=a/λD k=a/λD Model, parameters and simulation methods
Москва, 2014
Model, parameters and simulation methods
is the two-dimensional Wigner-Seitz radius and n is the areal number density of the particles
is the cyclotron frequency
is the nominal 2D plasma frequency

4. Velocity autocorrelation function
Москва, 2014
Velocity autocorrelation function

5. Velocity autocorrelation function
Москва, 2014
Velocity autocorrelation function
M. Bonitz, Z. Donk´o, T. Ott, H. K¨ahlert, and P. Hartmann, Phys. Rev. Lett. 105, (2010);

6. Velocity autocorrelation function
Москва, 2014
Velocity autocorrelation function

7. Cage correlation function
Москва, 2014
Cage correlation function tm t0 tk
otherwise
E. Rabani, J. D. Gezelter, and B. J. Berne, J. Chem. Phys. 107, 6867 (1997); ,Phys. Rev. Lett. 82, 3649 (1999).

8. Cage correlation function
Москва, 2014
Cage correlation function
is the Heaviside function
c=3 for 2D c=7 for 3D
Z. Donk´o, G. J. Kalman, and K. I. Golden, Phys. Rev. Lett. 88, (2002)
K. N. Dzhumagulova, R. U. Masheeva, T. S. Ramazanov, and Z. Donkó, Phys. Rev. Lett. 89, (2014)

9. Cage correlation functions
Москва, 2014
Cage correlation functions

10. Москва, 2014
Caging time

11. Москва, 2014
Velocity autocorrelation functions and cage correlation functions of dust particles in external magnetic field
Summary
The dominant peak in velocity autocorrelation function, related to the longitudinal current fluctuations in the liquid, was shown to be formed at high coupling at a frequency defined by a joint effect of cyclotron motion and strong interparticle correlations.
Towards lower coupling values the position of the peak was found to shift upwards, towards the RPA limit, which, however, was not reached due to the broadening of the peak.
The caging time of the particles was found to increase significantly with the applied magnetic field.

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