Extended Defects in the Potts-Percolation Model of a Solid: Renormalization Group and Monte Carlo Analysis

6, the probability distribution of χ [J] (plotted at the temperature β max where the average susceptibility is maximum) presents a long tail of rare events with large values of

Monte Carlo simulations for large q values (where the square lattice Potts transition is discontinuous) indicate that the discontinuity in the Potts energy translates into

Fujuki and Betts [14], and also Nishimori and Nakan- ishi [15] discussed the disappearance of long-range or- der in the study of quantum spin systems on the trian-

Two approaches of literature are here considered for performing the sensitivity analysis of the passive system performance by SS: the first one is local and

Universal shape properties of open and closed polymer chains: renormalization group analysis and Monte

= 10, 15, and 20, respectively, our numerical estimates provide practically (up to unavoidable, but very small statistical errors) exact results which can serve as a useful test

Second, the renormalized coupling among different polymer species is found to be bounded from above which leads to the existence of a well defined limit of strong

Powerful numerical techniques, like Monte Carlo simulation [2], exact enumerations analysis [3, 4], or phenomenological renormalization group (RG) cal-.. culations on