A mean-field model is presented to mimic the pedestrian channel flow with a bottleneck. The pedestrian flow is described by the mean-field rate equation on the square lattice. The dynamical transition from the free flow to the choking flow is studied by carrying out a numerical simulation for...

In this work, electrical measurements were performed on a polymer-dispersed LC sample so that we could demonstrate the temperature dependent molecular behavior, determined according to the electrical response of the system. Experimental results are found to be in favorable accordance with the...

The two-dimensional Ising model defined on square lattices with diamond-type bond-decorations is employed to study the nature of the ferromagnetic phase transitions of inhomogeneous systems. The model is studied analytically under the bond-renormalization scheme. For an n-level decorated...

The behavior of gases and liquids during a phase transition is severely affected by gravity effects which unavoidably drive the denser phase downwards and the lighter phase upwards. When such gravity effects are suppressed a number of new and surprising behavior are observed. The studies are...

We propose an opinion formation model which takes an individual’s opinion transition probability into consideration. In the model, each individual updates his/her opinion based on the probability of reception and acceptance. We describe the process of opinion evolution by using individual’s...

The use of mean-field theory to unwrap principal phase patterns has been recently proposed. In this paper we generalize the mean-field approach to process phase patterns with arbitrary degree of undersampling. The phase unwrapping problem is formulated as that of finding the ground state of a...

We present a mean-field theory for the modified three-state voter model. We obtain analytical results in asymptotic states for a general transition matrix. Numerical simulations can be well described within the proposed formulations. Distributions for both central plateau and boundary layer can...

A new mean-field approximation is proposed for the sandpile model of Bak, Tang and Wiesenfeld and the distribution of heights in the self-organized critical state is calculated. We treat several series of successive topples to approximate various avalanches. In contrast to the previous...

The small-world network model is a simple model of the structure of social networks, which simultaneously possesses characteristics of both regular lattices and random graphs. The model consists of a one-dimensional lattice with a low density of shortcuts added between randomly selected pairs of...