A new method to extract the density of partition function zeroes (a continuous function) from their distribution for finite lattices (a discrete data set) is presented. This allows direct determination of the order and strength of phase transitions numerically. Furthermore, it enables efficient distinguishing between first and second order transitions, elucidates crossover between them and illu...

this paper offers an approach that could be useful for diverse types of layout problems or even area allocation problems. by this approach there is no need to large number of discrete variables and only by few continues variables large-scale layout problems could be solved in polynomial time. this is resulted from dividing area into discrete and continuous dimensions. also defining decision var...

the purpose of this reaserch is to measure the phase equilibrium data of the ternary system (water + phosphoric acid + 1-nonanol) at different temperatures. experimental solubility curves and tie-line points for the system were obtained at t = 298.2, 308.2 and 318.2 k and ambient pressure. the binodal curve data were detected by the cloud point method. the mass fractions of each layer were achi...

in this present study, volume of fluid method in openfoam open source cfd package will be extended to consider phase change phenomena with modified model due to condensation and boiling processes. this model is suitable for the case in which both unsaturated phase and saturated phase are present and for beginning boiling and condensation process needn't initial interface. both phases (liqu...

We investigate how additional links added randomly to a network connection topology affect the phase transition from the free flow state to the congested state in packet-switching networks (PSNs). For the purpose of our study we have identified that the OSI Network Layer is the most important layer of the OSI reference model. For this layer we developed an abstraction for which we derived a tim...

This paper presents an approach to verifying that a circuit as described by a continuous, diierential equation model is a correct implementation of a discrete speciication. The abstraction from continuous trajectories to discrete traces is based on topological features of the continuous model rather than quantizing the continuous phase space. An practical veriication method based on numerical i...

We propose a discrete traffic flow model with discrete time. Continuum limit of this model is equivalent to the optimal velocity model. It has also an ultradiscrete limit and a piecewise-linear type of traffic flow model is obtained. Both models show phase transition from free flow to jam in a fundamental diagram. Moreover, the ultradiscrete model includes the Fukui–Ishibashi model in a special...