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Articles, 7 records found
Articles 7 records found  
1.
13 p, 351.5 KB Comb model : Non-markovian versus markovian / Iomin, Alexander (Technion - Israel Institute of Technology. Department of Physics) ; Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física) ; Horsthemke, Werner (Southern Methodist University. Department of Chemistry)
Combs are a simple caricature of various types of natural branched structures, which belong to the category of loopless graphs and consist of a backbone and branches. We study two generalizations of comb models and present a generic method to obtain their transport properties. [...]
2019 - 10.3390/fractalfract3040054
Fractal and Fractional, Vol. 3, Issue 4 (December 2019) , art. 54  
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2.
10 p, 497.6 KB Stationary energy probability density of oscillators driven by a random external force / Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física) ; Campos, Daniel (Universitat Autònoma de Barcelona. Departament de Física) ; Horsthemke, Werner (Southern Methodist University. Department of Chemistry)
We derive rigorous analytical results for the stationary energy probability density function of linear and nonlinear oscillators driven by additive Gaussian noise. Our study focuses on two cases: (i) a harmonic oscillator subjected to Gaussian colored noise with an arbitrary correlation function and (ii) nonlinear oscillators with a general potential driven by Gaussian white noise. [...]
2013 - 10.1103/PhysRevE.87.062132
Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 87, Number 6 (June 2013) , p. 062132/1-062132/10  
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3.
6 p, 250.3 KB Efficiency of harvesting energy from colored noise by linear oscillators / Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física) ; Campos, Daniel (Universitat Autònoma de Barcelona. Departament de Física) ; Horsthemke, Werner (Southern Methodist University. Department of Chemistry)
We investigate the performance of a linear electromechanical oscillator as an energy harvester of finite-bandwidth random vibrations. We derive exact analytical expressions for the net electrical power and the efficiency of the conversion of the power supplied by the noise into electrical power for arbitrary colored noise. [...]
2013 - 10.1103/PhysRevE.88.022124
Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 88, Number 2 (August 2013) , p. 022124/1-022124/6  
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4.
8 p, 678.8 KB Stochastic fluctuations of the transmission rate in the susceptible-infected-susceptible epidemic model / Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física) ; Campos, Daniel (Universitat Autònoma de Barcelona. Departament de Física) ; Horsthemke, Werner (Southern Methodist University. Department of Chemistry)
We analyze the dynamics of the susceptible-infected-susceptible epidemic model when the transmission rate displays Gaussian white noise fluctuations around its mean value. We obtain analytic expressions for the final size distribution of infectives and the mean infected number of individuals. [...]
2012 - 10.1103/PhysRevE.86.011919
Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 86, Number 1 (July 2012) , p. 011919/1-011919/8  
Detailed record -
5.
8 p, 389.5 KB Instabilities of the harmonic oscillator with fluctuating damping / Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física) ; Horsthemke, Werner (Southern Methodist University. Department of Chemistry) ; Mestres, Pau (Universitat Autònoma de Barcelona. Departament de Física) ; Campos, Daniel (Universitat Autònoma de Barcelona. Departament de Física)
We investigate the instabilities of a linear damped oscillator due to fluctuations of the damping parameter. The fluctuations are driven either by Gaussian white noise or Poisson white noise (white shot noise). [...]
2011 - 10.1103/PhysRevE.84.041137
Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 84, Number 4 (October 2011) , p. 041137/1-041137/8  
Detailed record -
6.
6 p, 156.9 KB Segregation and pursuit waves in activator-inhibitor systems / Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física) ; Horsthemke, Werner (Southern Methodist University. Department of Chemistry) ; Zemskov, Evgeny P. (Russian Academy of Sciences. Computing Centre) ; Casas Vázquez, José (Universitat Autònoma de Barcelona. Departament de Física)
We investigate the effects of cross-diffusion on propagating waves in an activator-inhibitor system. The model consists of a piecewise linear approximation of FitzHugh-Nagumo kinetics and a cross-diffusion term for either the activator or the inhibitor. [...]
2007 - 10.1103/PhysRevE.76.046222
Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 76, Number 4 (October 2007) , p. 046222/1-046222/6  
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7.
4 p, 85.7 KB Biased random walks and propagation failure / Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física) ; Fedotov, Sergei (University of Manchester. School of Mathematics) ; Campos, Daniel (Universitat Autònoma de Barcelona. Departament de Física) ; Horsthemke, Werner (Southern Methodist University. Department of Chemistry)
The critical value of the reaction rate able to sustain the propagation of an invasive front is obtained for general non-Markovian biased random walks with reactions. From the Hamilton-Jacobi equation corresponding to the mean field equation we find that the critical reaction rate depends only on the mean waiting time and on the statistical properties of the jump length probability distribution function and is always underestimated by the diffusion approximation. [...]
2007 - 10.1103/PhysRevE.75.011118
Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 75, Number 1 (January 2007) , p. 011118/1-011118/4  
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