We analyze the geometry of scaling limits of near-critical 2D percolation, i.e., for p = pc + λδ 1/ν , with ν = 4/3, as the lattice spacing δ → 0. Our proposed framework extends previous analyses for p = pc, based on SLE6. It combines the continuum nonsimple loop process describing the full scaling limit at criticality with a Poissonian process for marking double (touching) points of that (crit...

SrRuO(3) is a strong itinerant ferromagnet showing many features of 'bad metals' together with Fermi liquid behavior at very low temperature. The intriguing magnetic and transport properties of SrRuO(3) are tightly related to structure, as commonly observed in transition metal oxides. Here we report on the correlation of structural parameters (lattice constant and surface roughness) with the cr...

We give two examples of nonmonotonic behavior in symmetric systems, exhibiting more than one critical point at which spontaneous symmetry-breaking appears or disappears. The two systems are the hard-core model and the Widom{Rowlinson model, and both examples take place on a variation of the Cayley tree (Bethe lattice) devised by Schonmann and Tanaka. We obtain similar, though less constructive,...

We studied oscillatory behavior of critical amplitudes for the Gaussian model on a hierarchical structure presented by a modified Sierpinski gasket lattice. This model is known to display nonstandard critical behavior on the lattice under study. The leading singular behavior of the correlation length xi near the critical coupling K=K(c) is modulated by a function which is periodic in ln/ln(K(c)...

There is an increasing interest on application of concept lattices in the different information systems. The concept lattice may be used for representation of the concept generalisation structure generated from the underlying data set. The paper presents a modified lattice building algorithm where the generated concept nodes may contain not only the attributes of the children nodes but some oth...

When analyzed in terms of the Symanzik expansion, lattice correlators of multi-local (gauge-invariant) operators with non-trivial continuum limit exhibit in maximally twisted lattice QCD “infrared divergent” cutoff effects of the type a/(mπ) h, 2k ≥ h ≥ 1 (k, h integers), which tend to become numerically large when the pion mass gets small. We prove that, if the action is O(a) improved à la Sym...

Finite-temperature phase structure of lattice QCD with the Wilson quark action is analyzed. We show that the critical line at finite temperatures, defined to be the line of vanishing pion screening mass, turns back toward strong coupling, forming a cusp on the (β,K) plane, and that the line of thermal transition runs past the tip of the cusp without touching the critical line. Previous results ...

We simulate 3-flavour lattice QCD at finite quark-number chemical potential μ in the phasequenched approximation, close to the finite temperature transition. Working close to the critical quark mass, we find no evidence for the expected critical endpoint at small μ . We are performing further simulations aimed at calculating the equation-of-state of this theory outside of the superfluid domain,...

We investigate the effects of quenched randomness on the universal properties of a two-temperature lattice gas. The disorder modifies the dynamical transition rates of the system in an anisotropic fashion, giving rise to a new fixed point. We determine the associated scaling form of the structure factor, quoting critical exponents to two-loop order in an expansion around the upper critical dime...

High temperature series expansions of the spin-spin correlation function for the XY (or plane rotator) model on the triangular lattice are extended by two terms up to order β 14. Tables of the expansion coefficients are reported for the correlation function spherical moments of order l = 0 and 2. Our analysis of the series supports the Kosterlitz-Thouless predictions on the structure of the cri...