We present a new collapse condition to describe the formation of dark halos via nonspherical gravitational clustering. This new nonspherical collapse condition is obtained by the logical generalization of the spherical model to the nonspherical one. By solving a diffusion-like random matrix equation with the help of the Monte Carlo method, we show that this nonspherical collapse condition yield...

A new theory for determining the mass function of cosmic structures is presented. It relies on a realistic treatment of collapse dynamics. Gravitational collapse is analyzed in the Lagrangian perturbative framework. Lagrangian perturbations provide an approximation of truncated type, i.e. small-scale structure is filtered out. The collapse time is suitably defined as the instant at which orbit ...

Using complex quantum Hamilton-Jacobi formulation, a new kind of non-linear equations is proposed that have almost classical structure and extend the Schrödinger equation to describe the collapse of the wave function as a finite-time process. Experimental bounds on the collapse time are of order 0.1 ms to 0.1 ps and the areas where sensitive probes of the possible collapse dynamics can be done ...

Polypeptide chain collapse is an integral component of a protein folding reaction. In this review, experimental characterization of the interplay of polypeptide chain collapse, secondary structure formation, consolidation of the hydrophobic core and the development of tertiary interactions, is scrutinized. In particular, the polypeptide chain collapse reaction is examined in the context of the ...

We present a new Ehrenfeucht-Fraı̈ssé game approach to collapse results in database theory. We show that, in principle, every natural generic collapse result may be proved via a translation of winning strategies for the duplicator in an Ehrenfeucht-Fraı̈ssé game. Following this approach we can deal with certain infinite databases where previous, highly involved methods fail. We prove the natural ...

We present a new Ehrenfeucht-Fraı̈ssé game approach to collapse results in database theory. We show that, in principle, every natural generic collapse result may be proved via a translation of winning strategies for the duplicator in an Ehrenfeucht-Fraı̈ssé game. Following this approach we can deal with certain infinite databases where previous, highly involved methods fail. We prove the natural ...

The effects of solution conditions on protein collapse were studied by measuring the hydrodynamic radii of two unfolded proteins, -synuclein and acid-denatured ferricytochrome c, in dilute solution and in 1 M glucose. The radius of -synuclein in dilute solution is less than that predicted for a highly denatured state, and adding 1 M glucose causes further collapse. Circular dichroic data show t...