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A Monte-Carlo approach to proton stopping in warm dense matter is implementedinto an existing particle-in-cell code. The model is based on multiplebinary-collisions among electron-electron, electron-ion and ion-ion, takinginto account contributions from both free and bound electrons, and allows tocalculate particle stopping in much more natural manner. At low temperaturelimit, when ``all'' electron are bounded at the nucleus, the stopping powerconverges to the predictions of Bethe-Bloch theory, which shows goodconsistency with data provided by the NIST. With the rising of temperatures,more and more bound electron are ionized, thus giving rise to an increasedstopping power to cold matter, which is consistent with the report of arecently experimental measurement [Phys. Rev. Lett. 114, 215002 (2015)]. Whentemperature is further increased, with ionizations reaching the maximum,lowered stopping power is observed, which is due to the suppression ofcollision frequency between projected proton beam and hot plasmas in thetarget.

Monte-Carlo approach to calculate the proton stopping in warm dense matter within particle-in-cell simulations