Charge diffusion constant in hot and dense hadronic matter: A hadro-molecular-dynamics calculation

We evaluate the charge diffusion constant of dense and hot hadronic matter based on the molecular dynamical method by using a hadronic collision generator which describes nuclear collisions at energies 101 − 2 GeV/A and satisfies detailed balance at low temperatures (T ≤ 200 MeV). For the hot and dense hadronic matter in the temperature range T = 80–200 MeV and with baryon number density, nB, from 0.16fm−3 to 0.32fm−3, the charge diffusion constant D gradually increases from 0.5 fmc to 2 fmc with temperature and is almost independent of baryon number density. Based on the obtained diffusion constant, we make simple discussions on the diffusion of charge fluctuation in ultrarelativistic nuclear collisions.