We introduce a lattice-free hard sphere exclusion stochastic process.The resulting stochastic rates are distance based instead of cell based.The corresponding Markov chain build for this many particle system is update...We introduce a lattice-free hard sphere exclusion stochastic process.The resulting stochastic rates are distance based instead of cell based.The corresponding Markov chain build for this many particle system is updated using an adaptation of the kinetic Monte Carlo method.It becomes quickly apparent that due to the latticefree environment,and because of that alone,the dynamics behave differently than those in the lattice-based environment.This difference becomes increasingly larger with respect to particle densities/temperatures.Thewell-known packing problemand its solution(Palasti conjecture)seem to validate the resulting lattice-free dynamics.展开更多
文摘We introduce a lattice-free hard sphere exclusion stochastic process.The resulting stochastic rates are distance based instead of cell based.The corresponding Markov chain build for this many particle system is updated using an adaptation of the kinetic Monte Carlo method.It becomes quickly apparent that due to the latticefree environment,and because of that alone,the dynamics behave differently than those in the lattice-based environment.This difference becomes increasingly larger with respect to particle densities/temperatures.Thewell-known packing problemand its solution(Palasti conjecture)seem to validate the resulting lattice-free dynamics.
