Results 231 to 240 of about 3,736,992 (285)
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Physical Review Letters, 1986
Complete wetting and critical wetting transitions are studied in d-dimensional systems with quenched random impurities and general interactions. New but more universal singular behavior is predicted: e.g., under random fields the wetting-layer thickness at complete wetting should diverge as ${\mathrm{h}}^{\mathrm{\ensuremath{-}}1/2}$ for d=3, where h ...
Lipowsky, R., Fisher, M.
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Complete wetting and critical wetting transitions are studied in d-dimensional systems with quenched random impurities and general interactions. New but more universal singular behavior is predicted: e.g., under random fields the wetting-layer thickness at complete wetting should diverge as ${\mathrm{h}}^{\mathrm{\ensuremath{-}}1/2}$ for d=3, where h ...
Lipowsky, R., Fisher, M.
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Entanglements in random systems
Physical Review A, 1989Topological entanglements play an important role in the physical properties, such as viscosity, of macromolecular structures. We investigate the likelihood of the appearance of entanglements in the bond percolation problem. We show that below the percolation threshold ${p}_{c}$ (but extremely close to it) there exists an entanglement threshold ${p}_{e}$
, Kantor, , Hassold
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Random-field mechanism in random-bond multicritical systems
Physical Review Letters, 1989It is argued on general grounds that bond randomness drastically alters multicritical phase diagrams via a random-field mechanism. For example, tricritical points and critical end points are entirely eliminated (d\ensuremath{\le}2) or depressed in temperature (dg2). These predictions are confirmed by a renormalization-group calculation.
, Hui, , Berker
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Random Vibration Systems with Weakly Correlated Random Excitation
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2001AbstractIn the paper asymptotic expansions for second‐order moments of solutions to ordinary differential equations with weakly correlated random inhomogeneous terms are presented. Such equations arise e.g. in the mathematical modeling of vibration systems with an external random excitation.
Starkloff, H.-J. +2 more
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2016
In this chapter we will introduce methods and techniques to analyze models with stochasticity or randomness. In particular we will establish the framework of random dynamical systems and introduce the concept of random attractors.
Tomás Caraballo, Xiaoying Han
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In this chapter we will introduce methods and techniques to analyze models with stochasticity or randomness. In particular we will establish the framework of random dynamical systems and introduce the concept of random attractors.
Tomás Caraballo, Xiaoying Han
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2007
This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of deterministic dynamical systems, with particular emphasis on applications to economics. The theory of irreducible Markov processes, especially Markov chains, is surveyed in Chapter 2.
Rabi Bhattacharya, Mukul Majumdar
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This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of deterministic dynamical systems, with particular emphasis on applications to economics. The theory of irreducible Markov processes, especially Markov chains, is surveyed in Chapter 2.
Rabi Bhattacharya, Mukul Majumdar
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Wigner distribution for random systems
Journal of Modern Optics, 2002We use the Wigner distribution to study systems subjected to random forces. We define the instantaneous spectrum as the ensemble average of the Wigner distribution, and we write the differential equation whose solution gives us the time-varying spectrum of the state variable. We consider the cases of both constant and time-varying coefficients.
GALLEANI, Lorenzo, COHEN L.
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Partial realization of random systems
Automatica, 1972Abstract An algorithm is presented for the recursive determination of certain lumped linear models that when driven by a white-noise sequence yield outputs whose covariances match increasing sections of a given covariance sequence.
Rissanen, J., Kailath, T.
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