Damped dust lattice shock wave in strongly coupled complex (dusty) plasma

Taking into account ‘hydrodynamical damping’ due to irreversible processes that occur within the system and neutral drag due to dust-neutral collision, a Burgers' equation with a linear damping term is derived for 1D nonlinear longitudinal dust lattice wave (LDLW) in homogeneous strongly coupled complex (dusty) plasma. The ‘hydrodynamical damping’ generated dissipative effect causes generation of shock wave in dusty plasma crystal, whereas the neutral drag induced dissipative effect causes the decay of the shock intensity with time. The width of the observed compressive shock increases (decreases) with the increase of the shielding parameter $\kappa$ (characteristic length $L$). Its implication in glow-discharge plasma are briefly discussed.