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Nonlinear transport phenomena induced by chiral anomaly are explored within a4D field theory defined holographically as $U(1)_V\times U(1)_A$Maxwell-Chern-Simons theory in Schwarzschild-$AdS_5$. In presence of weakconstant background electromagnetic fields, the constitutive relations forvector and axial currents, resummed to all orders in the gradients of chargedensities, are encoded in nine momenta-dependent transport coefficientfunctions (TCFs). These TCFs are first calculated analytically up to thirdorder in gradient expansion, and then evaluated numerically beyond thehydrodynamic limit. Fourier transformed, the TCFs become memory functions. Thememory function of the chiral magnetic effect (CME) is found to differdramatically from the instantaneous response form of the original CME. Beyondhydrodynamic limit and when external magnetic field is larger than somecritical value, the chiral magnetic wave (CMW) is discovered to possess adiscrete spectrum of non-dissipative modes.

Gradient resummation for nonlinear chiral transport: an insight from holography