PPT Slide
am = 0.026, 0.021, 0.024 [21]; 0.215 [23]; 0.0066 [15]. However this data does not mean that no demixing transition can occur for a < am. Indeed, these are two different questions, which ought not to be confused: the occurance of a phase transition in nature and the energetical favor of one of the phases over the other. The second does not necessarily leads to the first one. However, Monte Carlo simulations are able to answer only the second question. At the same time despite the answer to the first question (which has to be found out from experiment or some other theories) Monte Carlo method can successfully handle the second one. The Monte Carlo algorithm described below is suitable for tackling the problem.
The above mentioned works have been considering demixing transition for three-dimensional hard spheres. Does demixing transition take place in two dimensions? Which is the order of this transition? These are the questions to be addressed at the present work.