Cluster percolation and thermal critical behavior
نویسندگان
چکیده
منابع مشابه
Cluster Percolation and Thermal Critical Behaviour
Continuous phase transitions in spin systems can be formulated as percolation of suitably defined clusters. We review this equivalence and then discuss how in a similar way, the color deconfinement transition in SU(2) gauge theory can be treated as a percolation phenomenon. In the presence of an external field, spin systems cease to show thermal critical behavior, but the geometric percolation ...
متن کاملMapping functions and critical behavior of percolation on rectangular domains.
The existence probability E_{p} and the percolation probability P of bond percolation on rectangular domains with different aspect ratios R are studied via the mapping functions between systems with different aspect ratios. The superscaling behavior of E_{p} and P for such systems with exponents a and b , respectively, found by Watanabe [Phys. Rev. Lett. 93, 190601 (2004)] can be understood fro...
متن کاملDynamical sensitivity of the infinite cluster in critical percolation
In dynamical percolation, the status of every bond is refreshed according to an independent Poisson clock. For graphs which do not percolate at criticality, the dynamical sensitivity of this property was analyzed extensively in the last decade. Here we focus on graphs which percolate at criticality, and investigate the dynamical sensitivity of the infinite cluster. We first give two examples of...
متن کاملTransience, Recurrence and Critical Behavior for Long-Range Percolation
We study the behavior of the random walk on the infinite cluster of independent long range percolation in dimensions d = 1, 2, where x and y are connected with probability ∼ β/‖x − y‖−s. We show that when d < s < 2d the walk is transient, and when s ≥ 2d, the walk is recurrent. The proof of transience is based on a renormalization argument. As a corollary of this renormalization argument, we ge...
متن کاملCritical Behavior of Random Resistor Networks Near the Percolation Threshold
We use low-density series expansions to calculate critical exponents for the behavior of random resistor networks near the percolation threshold as a function of the spatial dimension d. By using scaling relations, we obtain values of the conductivity exponent μ. For d=2 we find μ=1.43±0.02, and for d=3, μ=1.95±0.03, in excellent agreement with the experimental result of Abeles et al. Our resul...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computer Physics Communications
سال: 2002
ISSN: 0010-4655
DOI: 10.1016/s0010-4655(02)00202-3