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

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.

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

Velocity autocorrelation function Москва, 2014 Velocity autocorrelation function

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, 055002 (2010);

Velocity autocorrelation function Москва, 2014 Velocity autocorrelation function

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).

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, 225001 (2002) K. N. Dzhumagulova, R. U. Masheeva, T. S. Ramazanov, and Z. Donkó, Phys. Rev. Lett. 89, 033104 (2014)

Cage correlation functions Москва, 2014 Cage correlation functions

Москва, 2014 Caging time

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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