We review growth, percolation, and spatial correlations in deposition models of disordered fiber networks. We first consider 2D models with effective interactions between the deposited particles represented by simple parametrization. In particular, we discuss the case of single cluster growth, growth of uniformly random networks, and flocculated networks with nontrivial spatial correlations. We...

By the Wolff’s cluster Monte Carlo simulations and numerical minimization within a mean field approach, we study the low temperature phase diagram of water, adopting a cell model that reproduces the known properties of water in its fluid phases. Both methods allows us to study the water thermodynamic behavior at temperatures where other numerical approaches –both Monte Carlo and molecular dynam...

This chapter has two objectives. It discusses a design pattern for phrasal constructions and introduces the templates that can be used to instantiate this pattern in Fluid Construction Grammar, using as illustration nominal phrases such as “the green mouse” or “this mouse of mine”. Phrasal constructions not only build phrases but also combine the meanings contributed by their constituents and p...

We describe in detail an efficient algorithm for studying site or bond percolation on any lattice. The algorithm can measure an observable quantity in a percolation system for all values of the site or bond occupation probability from zero to one in an amount of time that scales linearly with the size of the system. We demonstrate our algorithm by using it to investigate a number of issues in p...

There has been a great deal of interest and activity in percolation theory since the two Saint-Flour courses, [76, 111], of 1984 and 1996 reprinted in this new edition. We present here a summary of progress since the first publications of our lecture notes. The second edition of Percolation, [77], was published in 1999 as a fairly complete, contemporary account of ‘classical’ percolation (but w...

A two-phase steady-state model for the percolation of aqueous humor through the trabecular meshwork (TM) in eye has been developed. The model treats the meshwork as an annular porous cylinder comprised of two concentric rings that represent the uveal-corneoscleral meshwork and juxtacanalicular meshwork. Both the rings are assumed to be made up of homogeneous, isotropic, viscoelastic material sw...

[1] This work presents a series of numerical modeling studies that investigate the hydrogeologic conditions required to form capillary barriers and the effect that capillary barriers have on fluid flow and tracer transport processes in the unsaturated fractured rock of Yucca Mountain, Nevada, a potential site for storing high-level radioactive waste. The modeling approach is based on a dual-con...

The transition to turbulence exhibits remarkable spatio-temporal behavior that continues to defy detailed understanding. Near the onset to turbulence in pipes, transient turbulent regions decay either directly or, at higher Reynolds numbers through splitting, with characteristic time-scales that exhibit a super-exponential dependence on Reynolds number. Here we report numerical simulations of t...

Study of the critical properties of the Quantum Hall Fluid in the framework of a dual statistical model. Abstract By using Renormalization Group methods we analyze the outcome of a recent proposal of describing the Quantum Hall fluid in terms of a dual plasma which embodies dyons as effective degrees of freedom. As a consequence the physical interpretation of the two parameters of the model as ...

Consider the standard continuous percolation in R 4 , and choose the parameters so that the induced percolation on a xed two dimensional linear subspace is critical. Although two dimensional critical percolation dies, we show that there are exceptional two dimensional linear subspaces, in which percolation occurs.