Random-cluster multihistogram sampling for the q-state Potts model.
نویسندگان
چکیده
Using the random-cluster representation of the q-state Potts models we consider the pooling of data from cluster-update Monte Carlo simulations for different thermal couplings K and number of states per spin q. Proper combination of histograms allows for the evaluation of thermal averages in a broad range of K and q values, including noninteger values of q. Due to restrictions in the sampling process correct normalization of the combined histogram data is nontrivial. We discuss the different possibilities and analyze their respective ranges of applicability.
منابع مشابه
Statistical and Computational Physics
(1) Exact universal amplitude ratios for two-dimensional Ising model and a quantum spin chain. (2) Critical behaviour of semi-infinite quenched dilute Ising-like systems in three dimensions: Ordinary transition. (3) Universal scaling functions for bond percolation on planar random and square lattices with multiple percolating clusters. (4) Polydispersity effect and universality of finite-size s...
متن کاملGibbs States of Graphical Representations in the Potts Model with External Fields
We consider the ferromagnetic q-state Potts model, with each of the q spin values coupled to an external field. We also introduce a generalized random cluster model, which includes both the Potts model in arbitrary homogeneous external fields and the non-integer q random cluster model as special cases. We establish the FKG property, the finite energy condition, uniqueness of the infinite cluste...
متن کاملGeometric properties of two-dimensional critical and tricritical Potts models.
We investigate geometric properties of the general q-state Potts model in two dimensions, and define geometric clusters as sets of lattice sites in the same Potts state, connected by nearest-neighbor bonds with variable probability p. We find that, besides the random-cluster fixed point, both the critical and the tricritical Potts models have another fixed point in the p direction. For the crit...
متن کاملThe Low-temperature Expansion of 3d Random-cluster Model
We summarize results of [1]. Among other things, they compute the first order expansion to the surface tension for all q−state Potts models at very low temperatures. Using this expansion, they determine the asymptotic shape of the Wulff crystal defined by the surface tension functional determined by an infinite volume Gibbs State at very low temperature. Their results are formulated in terms of...
متن کاملThe Random Cluster Model on A
The random cluster model on a general innnite graph with bounded degree wired at innnity is considered and a \ghost vertex" method is introduced in order to explicitly construct random cluster measures satisfying the Dobrushin-Lanford-Ruelle condition for q 1. It is proved that on a regular nonamenable graph there is a q 0 such that for q q 0 there is a phase transition for an entire interval o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 65 3 Pt 2A شماره
صفحات -
تاریخ انتشار 2002