2014 In critical wetting phenomena, the situation of a heavier liquid residing on top of lighter liquid is observed. The consequences of the Rayleigh-Taylor mode of instability in the semicritical wetting layer in a binary liquid mixture are investigated. We also report experimental observations in support of our theory, in the critical binary liquid mixture cyclohexane + acetonitrile. J. Physi...

We consider the head-on collision of equal-mass neutron stars boosted towards each other and we study the behaviour of such systems near the threshold of black-hole formation. In particular, we confirm the previous findings by Jin K J et al (2007 Phys. Rev. Lett 98 131101) that a type I critical phenomenon can be observed by fine-tuning the initial mass of the two neutron stars. At the same tim...

A measure of complexity which is suggested by these applications, but which may also have application to other problems, is described. † [email protected] * permanent address

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Studying the threshold of black hole formation via numerical evolution has led to the discovery of fascinating nonlinear phenomena. Power-law mass scaling, aspects of universality, and self-similarity have now been found for a large variety of models. However, questions remain. Here I briefly review critical phenomena, discuss some recent results, and describe a model which demonstrates similar...

A model of Landau-Ginsburg-Wilson type is used to describe the dependence of the critical amplitude (associated with coexistence curve, or correlation length, or Susceptibility) on molar mass for chain-molecule solutions of both small molecules and polymers. Experimental methods for measurements of the critical volume fraction, coexistence curve, and turbidity are discussed. Some experimental r...

The paper is devoted to the investigation of the relationship between slow integral manifolds of singularly perturbed differential equations and critical phenomena in chemical kinetics and laser models. We tried to consider different problems using the techniques of canards and black swans. The mathematical language of singular perturbations seems to apply to all critical phenomena even in the ...

The nonlinear dynamics of complex systems is one of the most exciting and fastest growing branches of modern sciences. This research area is at the forefront in interdisciplinary research and it has an increasingly important impact on a variety of applied subjects ranging from the study of turbulence and the behavior of the weather, through the investigation of electrical and mechanical oscilla...

Nonlinear dynamics of a trapped Bose-Einstein condensate, subject to the action of a resonant external field, is studied. This field produces a spatio-temporal modulation of the trapping potential with the frequency close to the transition frequency between the ground state and a higher energy level. The evolution equations of fractional populations display a kind of critical phenomena at a cri...

We review results concerning the critical behavior of spin systems at equilibrium. We consider the Ising and the general O(N)-symmetric universality class. For each of them, we review the estimates of the critical exponents, of the equation of state, of several amplitude ratios, and of the two-point function of the order parameter. We report results in three and two dimensions. We discuss the c...