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On the thresholds, probability densities, and critical exponents of Bak–Sneppen-like models

Garcia, Guilherme J.M.; Dickman, Ronald - In: Physica A: Statistical Mechanics and its Applications 342 (2004) 1, pp. 164-170

We report a simple method to accurately determine the threshold and the exponent ν of the Bak–Sneppen (BS) model and … also investigate the BS universality class. For the random-neighbor version of the BS model, we find the threshold x∗=0 …

Persistent link: https://www.econbiz.de/10011057894

Sharp thresholds in Bootstrap percolation

Balogh, József; Bollobás, Béla - In: Physica A: Statistical Mechanics and its Applications 326 (2003) 3, pp. 305-312

theorem of Friedgut and Kalai (Proc. Amer. Math. Soc. 124 (1996) 2993), we shall show that the threshold function of the …

Persistent link: https://www.econbiz.de/10011062994

The extinction and persistence of the stochastic SIS epidemic model with vaccination

Zhao, Yanan; Jiang, Daqing; O’Regan, Donal - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 20, pp. 4916-4927

In this paper, we discuss the dynamics of a stochastic SIS epidemic model with vaccination. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R0. When the noise is small, sufficient conditions for extinction exponentially and persistence in the...

Persistent link: https://www.econbiz.de/10010742334

SIRaRu rumor spreading model in complex networks

Wang, Jiajia; Zhao, Laijun; Huang, Rongbing - In: Physica A: Statistical Mechanics and its Applications 398 (2014) C, pp. 43-55

, associated with which the steady-state analysis is carried out, indicating the spreading threshold existing in both homogeneous … threshold and spreading thresholds in homogeneous and inhomogeneous networks, respectively. Numerical simulations are conducted …

Persistent link: https://www.econbiz.de/10010744299

Rumor spreading model considering forgetting and remembering mechanisms in inhomogeneous networks

Zhao, Laijun; Qiu, Xiaoyan; Wang, Xiaoli; Wang, Jiajia - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 4, pp. 987-994

. Steady-state analysis is carried out, which shows no spreading threshold existing. Numerical simulations are conducted in a … addition, the no threshold result is verified. …

Persistent link: https://www.econbiz.de/10010603441

Quantum diffusion: A simple, exactly solvable model

Magnus, Wim; Nelissen, Kwinten - In: Physica A: Statistical Mechanics and its Applications 417 (2015) C, pp. 96-101

We propose a simple quantum mechanical model describing the time dependent diffusion current between two fermion reservoirs that were initially disconnected and characterized by different densities or chemical potentials. The exact, analytical solution of the model yields the transient behavior...

Persistent link: https://www.econbiz.de/10011077873

Quanta and entropy generation

Lucia, Umberto - In: Physica A: Statistical Mechanics and its Applications 419 (2015) C, pp. 115-121

Is there a link between the macroscopic description of the irreversibility and microscopic behaviour of the systems … irreversibility. The analysis developed in this paper points out that the principle of maximum of entropy generation and the least … can be related to the extremum entropy generation theorem. Irreversibility is the result of the interaction between …

Persistent link: https://www.econbiz.de/10011117895

Entropy generation: Minimum inside and maximum outside

Lucia, Umberto - In: Physica A: Statistical Mechanics and its Applications 396 (2014) C, pp. 61-65

The extremum of entropy generation is evaluated for both maximum and minimum cases using a thermodynamic approach which is usually applied in engineering to design energy transduction systems. A new result in the thermodynamic analysis of the entropy generation extremum theorem is proved by the...

Persistent link: https://www.econbiz.de/10010730356

Entropy generation approach to cell systems

Lucia, Umberto - In: Physica A: Statistical Mechanics and its Applications 406 (2014) C, pp. 1-11

Cells can be regarded as engines that execute a series of chemical reactions. A malignant cell, that is, a cancerous cell, can be described as an open complex dynamic and self-organising system. The entropy generation approach has been used to evaluate the stationary states for cells in relation...

Persistent link: https://www.econbiz.de/10010777044

Exact time evolution in harmonic quantum Brownian motion

Gaioli, F.H; Garcia-Alvarez, E.T - In: Physica A: Statistical Mechanics and its Applications 264 (1999) 3, pp. 338-344

We consider an exactly soluble model of a set of coupled harmonic oscillators, which was presented in a previous work. We show numerical results for the time evolution of the main dynamical quantities and compare them with analytical results.

Persistent link: https://www.econbiz.de/10010872039