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Random walk approach to the analytic solution of random systems with multiplicative noise—The Anderson localization problem

Kuzovkov, V.N.; von Niessen, W. - In: Physica A: Statistical Mechanics and its Applications 369 (2006) 2, pp. 251-265

localized states is treated as a generalized diffusion with a noise-induced first-order phase transition. The generalized … diffusion manifests itself in the divergence of averages of wavefunctions (correlators). This divergence is controlled by the … Lyapunov exponent γ, which is the inverse of the localization length, ξ=1/γ. The appearance of the generalized diffusion arises …

Persistent link: https://www.econbiz.de/10011061349

Phase diagrams properties of the mixed traffic flow on a crossroad

Li, Qi-Lang; Wang, Bing-Hong; Liu, Mu-Ren - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 21, pp. 5045-5052

Based on the Ishibashi and Fukui crossroad traffic flow model [Y. Ishibashi and M. Fukui. J. Phys. Soc. Japan. 70 (2001) 2793], mixed traffic flow (i.e., the fast and slow vehicles with different maximum velocities are mixed) is investigated in this work. According to the numerical simulation...

Persistent link: https://www.econbiz.de/10010872838

Dynamical transition in merging pedestrian flow without bottleneck

Nagatani, Takashi - In: Physica A: Statistical Mechanics and its Applications 307 (2002) 3, pp. 505-515

The merging flow model without a bottleneck is presented to mimic the pedestrian channel flow with a meeting point. Two channel flows in front of the meeting point interact one another when the exit density is higher than the maximal-current density. The distinct phase transition occurs by...

Persistent link: https://www.econbiz.de/10010873186

Phase separation of binary systems

Ma, Tian; Wang, Shouhong - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 23, pp. 4811-4817

In this paper, three physical predictions on the phase separation of binary systems are derived based on a dynamic transition theory developed recently by the authors. First, the order of phase transitions is precisely determined by the sign of a nondimensional parameter K such that if K0, the...

Persistent link: https://www.econbiz.de/10010873991

Second order quantum renormalisation group of XXZ chain with next-nearest neighbour interactions

Jafari, R.; Langari, A. - In: Physica A: Statistical Mechanics and its Applications 364 (2006) C, pp. 213-222

We have extended the application of quantum renormalisation group (QRG) to the anisotropic Heisenberg model with next-nearest neighbour (n-n-n) interaction. The second order correction has to be taken into account to get a self similar renormalised Hamiltonian in the presence of...

Persistent link: https://www.econbiz.de/10010874081

Traffic states of a model highway with on-ramp

Lee, Ha Youn; Lee, Hyun-Woo; Kim, Doochul - In: Physica A: Statistical Mechanics and its Applications 281 (2000) 1, pp. 78-86

Several distinct traffic states are identified from real highway traffic data (Kerner and Rehborn, Phys. Rev. Lett. 79 (1997) 4030; Kerner and Rehborn, Phys. Rev. E 53 (1996) R4275; Kerner, Phys. Rev. Lett. 81 (1998) 3797; Kerner and Rehborn, Phys. Rev. E 53 (1996) R1297). Influence of on-ramp flux is...

Persistent link: https://www.econbiz.de/10010874148

Phase diagram of the mixed spin-2 and spin-5/2 Ising system with two different single-ion anisotropies

da Cruz Filho, J.S.; Godoy, M.; de Arruda, A.S. - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 24, pp. 6247-6254

We study the effect of two different single-ion anisotropies in the phase diagram and in the compensation temperature of mixed spin-2 and spin-5/2 Ising ferrimagnetic system. We employed the mean-field theory based on the Bogoliubov inequality for Gibbs free energy. We use the Landau expansion...

Persistent link: https://www.econbiz.de/10010874465

Understanding agent-based models of financial markets: A bottom–up approach based on order parameters and phase diagrams

Lye, Ribin; Tan, James Peng Lung; Cheong, Siew Ann - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 22, pp. 5521-5531

We describe a bottom–up framework, based on the identification of appropriate order parameters and determination of phase diagrams, for understanding progressively refined agent-based models and simulations of financial markets. We illustrate this framework by starting with a deterministic toy...

Persistent link: https://www.econbiz.de/10010874583

Phase behavior of binary mixtures of thick and thin hard rods

van Roij, René; Mulder, Bela; Dijkstra, Marjolein - In: Physica A: Statistical Mechanics and its Applications 261 (1998) 3, pp. 374-390

Using a straightforward extension of the Onsager-theory for hard rods, we consider the thermodynamic stability of the isotropic (I) and nematic (N) phase of binary mixtures of thick and thin hard rods of the same length. We show that such mixtures not only exhibit the expected I–N ordering...

Persistent link: https://www.econbiz.de/10010874614

Phase diagram of spin-1 Ising model in a transverse crystal field

Eddeqaqi, N. Cherkaoui; Saber, M; El-Atri, A; Kerouad, M - In: Physica A: Statistical Mechanics and its Applications 272 (1999) 1, pp. 144-152

The ferromagnetic spin-1 Ising model with a transverse crystal field is studied within the framework of the effective field theory on honeycomb, square and cubic lattices. We have investigated the effect of the transverse crystal field on the magnetization and quadrupolar moments, and phase...

Persistent link: https://www.econbiz.de/10010874646

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