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Random Schrodinger Operators (Random Systems and Dynamical Systems)
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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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