The Abdus Salam International Centre for Theoretical Physics Modulational Instability and Pattern Formation in the Model of Dna Dynamics
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United Nations Educational, Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS MODULATIONAL INSTABILITY AND EXACT SOLUTIONS FOR THE DISCRETE COMPLEX CUBIC QUINTIC GINZBURG-LANDAU EQUATION OF AN OPEN BOSE-EINSTEIN CONDENSATION
In this paper, we investigate analytically and numerically the modulational instability in a model of nonlinear physical systems like nonlinear periodic lattices. This model is described by the discrete complex cubic quintic Ginzburg-Landau equation with non-local quintic term. We produce characteristics of the modulational instability in the form of typical dependences of the instability growt...
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We have studied by means of Monte-Carlo simulation and exact finite-size analysis, the spin-1 Blume Capel model with Glauber and Kawasaki dynamics. The Kawasaki spin exchange process flows energy into the system from an external source. Some phase diagrams of the model are presented. For some values of the parameters, the system displays a kind of self organization phenomenon within the disorde...
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