In this paper we consider in detail the connection between the problem of a polymer in a random medium and that of a quantum particle in a random potential. We are interested in a system of finite volume where the polymer is known to be localized inside a low minimum of the potential. We show how the end-to-end distance of a polymer that is free to move can be obtained from the density of state...

growing demand for wheat grain with optimal technological parameters results in looking for the possibilities of accurately meeting the plant needs. environmental conditions in the surroundings of germinating grains can be improved by application of humic preparations. qualitative features of grain can be also changed by foliar application of potassium, which is the activator of enzymes catalys...

We adapt belief-propagation techniques to study the equilibrium behavior of a bipartite spin glass, with interactions between two sets of N and P=αN spins each having an arbitrary degree, i.e., number of interaction partners in the opposite set. An equivalent view is then of a system of N neurons storing P diluted patterns via Hebbian learning, in the high storage regime. Our method allows anal...

Theory suggests that the otherwise rapid folding of simple heteropolymer models becomes "glassy"-dominated by multiple kinetically trapped misfolded states-at low temperatures or when the overall bias toward the native state is reduced relative to the depth of local minima. Experimental observations of nonsingle-exponential protein-folding kinetics have been taken as evidence that the protein-f...

– The dynamics of the 2D Coulomb glass model is investigated by kinetic Monte Carlo simulation. An exponential divergence of the relaxation time signals a zero-temperature freezing transition. At low temperatures the dynamics of the system is glassy. The local charge correlations and the response to perturbations of the local potential show aging. The dynamics of formation of the Coulomb gap is...