A standard obliteration-reaction model for Constantinople’s fall: Parameters of a siege

Usual pair obliteration reaction dynamic, taken from kinetic theory, allows describing the siege and fall of Constantinople (1453 AD) when Ottoman and Byzantine troops confronted each other. Most of the model parameters are based on historical, certainly debatable, assumptions. Ottoman cannons systematically destroyed the city’s walls and, consequently, Byzantine disadvantage is considered through time-dependent parameters. Daily estimates for the relative number of warriors among both factions are presented. At the start of the war, the numerical simulation predicts an equilibrium status. But after weeks, systematic destruction of the city’s walls eroded the equilibrium and the odds turned in the Ottomans’ favor. The growing rapport among victims of both sides is also computed as a function of war days, also the number of victims. This work supports the pair obliteration reaction model for historical wars.