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Cluster variation approximations for a contact process living on a graph

Peyrard, Nathalie; Franc, Alain - In: Physica A: Statistical Mechanics and its Applications 358 (2005) 2, pp. 575-592

A model classically used for modelling the spread of an infectious diseases in a network is the time-continuous contact process, which is one simple example of an interacting particles system. It displays a non-equilibrium phase transition, related to the burst of an epidemic within a population...

Persistent link: https://www.econbiz.de/10010591454

Majority-vote model on triangular, honeycomb and Kagomé lattices

Santos, J.C.; Lima, F.W.S.; Malarz, K. - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 2, pp. 359-364

On Archimedean lattices, the Ising model exhibits spontaneous ordering. Three examples of these lattices of the majority-vote model with noise are considered and studied through extensive Monte Carlo simulations. The order/disorder phase transition is observed in this system. The calculated...

Persistent link: https://www.econbiz.de/10011061394

Dynamical transition and scaling in a mean-field model of pedestrian flow at a bottleneck

Nagatani, Takashi - In: Physica A: Statistical Mechanics and its Applications 300 (2001) 3, pp. 558-566

phase diagram is found numerically and analytically. The scaling behavior is investigated for the transition point and the …

Persistent link: https://www.econbiz.de/10010872307

Scaling behavior of crowd flow outside a hall

Tajima, Yusuke; Nagatani, Takashi - In: Physica A: Statistical Mechanics and its Applications 292 (2001) 1, pp. 545-554

flow to the decaying flow at a critical time tc. In the choking-flow region, a scaling behavior is found as follows: the …

Persistent link: https://www.econbiz.de/10011057486

Phase transition and critical phenomenon in the power-law model of traffic

Nagatani, Takashi - In: Physica A: Statistical Mechanics and its Applications 248 (1998) 3, pp. 353-364

A power-law model of traffic is proposed to extend the optimal velocity model of traffic. The phase transition and critical phenomenon are investigated by computer simulation. It is shown that the phase transition among the freely moving phase, the coexisting phase, and the homogeneous congested...

Persistent link: https://www.econbiz.de/10011060332

Phase transition and scaling in the generalized traffic flow model

Nagatani, Takashi - In: Physica A: Statistical Mechanics and its Applications 246 (1997) 3, pp. 460-470

phase boundary and the critical point depend strongly upon the power. The scaling behaviors of the headway, the car velocity …

Persistent link: https://www.econbiz.de/10011060456

Scaling of pedestrian channel flow with a bottleneck

Tajima, Yusuke; Takimoto, Kouhei; Nagatani, Takashi - In: Physica A: Statistical Mechanics and its Applications 294 (2001) 1, pp. 257-268

choking-flow region, a scaling behavior is found as follows: the saturated flow rate Js scales as Js∝d0.93±0.02 and the …

Persistent link: https://www.econbiz.de/10011061745

Clogging transition of pedestrian flow in T-shaped channel

Tajima, Yusuke; Nagatani, Takashi - In: Physica A: Statistical Mechanics and its Applications 303 (2002) 1, pp. 239-250

four distinct phases are found. The phase diagram is presented for the distinct phases. The scaling of saturated flow rate … and transition point is shown. The flow rate exhibits the universal scaling form. …

Persistent link: https://www.econbiz.de/10010590232

Phase transition and critical phenomenon in traffic flow model with velocity-dependent sensitivity

Nagatani, Takashi - In: Physica A: Statistical Mechanics and its Applications 253 (1998) 1, pp. 353-365

depend largely upon the sensitivity parameters. The scaling properties of the headway, the car velocity and the jam …’s propagation velocity are found near the critical point. It is shown that the scaling exponents are independent upon the velocity …

Persistent link: https://www.econbiz.de/10010599430