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At top collider energies where baryon stopping is negligible, the initialstate of heavy ion collisions is overall charge neutral and predominantlycomposed of gluons. Nevertheless, there can also be significant localfluctuations of the baryon number, strangeness, and electric charge densitiesabout zero, perturbatively corresponding to the production of quark/antiquarkpairs. These previously ignored local charge fluctuations can permit the studyof charge diffusion in the quark-gluon plasma (QGP), even at top colliderenergies. In this paper we present a new model denoted ICCING (InitialConserved Charges in Nuclear Geometry) which can reconstruct the initialconditions of conserved charges in the QGP by sampling a ($g \rightarrowq\bar{q}$) splitting probability over the initial energy density. We find thatthe new charge distributions generally differ from the bulk energy density; inparticular, the strangeness distribution is significantly more eccentric thanstandard bulk observables and appears to be associated with the geometry of hotspots in the initial state. The new information provided by these conservedcharges opens the door to studying a wealth of new charge- and flavor-dependentcorrelations in the initial state and ultimately the charge transportparameters of the QGP.

Toward Initial Conditions of Conserved Charges Part II: The ICCING Monte Carlo Algorithm