Kim, KK (reprint author), Gwangju Inst Sci & Technol, Sch Phys & Chem, Dept Phys & Photon Sci, Kwangju 500712, South Korea.
[Kim, Kyung Kiu] Gwangju Inst Sci & Technol, Sch Phys & Chem, Dept Phys & Photon Sci, Kwangju 500712, South Korea
; [Kim, Nakwoo] Kyung Hee Univ, Dept Phys, Seoul 130701, South Korea
; [Kim, Nakwoo] Kyung Hee Univ, Res Inst Basic Sci, Seoul 130701, South Korea
; [Zhang, Yun-Long] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
; [Zhang, Yun-Long] Univ Southampton, Math Sci & STAG Res Ctr, Southampton SO9 5NH, Hants, England
We construct effective hydrodynamics for composite particles in (2+1) dimensions carrying a magnetic flux by employing a holographic approach. The hydrodynamics is obtained by perturbation of the dyonic black brane solutions in the derivative expansion. We introduce a consistent way to avoid mixing of different orders in the expansion. Thanks to this method, it is possible to take the strong external magnetic field limit in the dual field theory. To compare our result with those for a composite particle system, we study several cases that correspond to special solutions of Einstein's equation and Maxwell's equations.