FINITE SIZE SCALING AND RUNNING COUPLING CONSTANT IN CPN-1 MODELS
نویسندگان
چکیده
منابع مشابه
Finite size scaling in CPN-1 models.
Finite size effects in Euclidean CP models with periodic boundary conditions are investigated by means of the 1/N expansion and by Monte Carlo simulations. Analytic and numerical results for magnetic susceptibility and correlation length are compared and found to agree for small volumes. For large volumes a discrepancy is found and explained as an effect of the physical bound state extension. T...
متن کاملFinite size scaling in rotational sandpile models
Singularities of thermodynamic quantities in equilibrium critical phenomena are characterized by well defined critical exponents. The set of critical exponents determine the universality class of a system in the thermodynamic limit. In numerical simulations, the results are very often limited by the finite system size L. There is rounding and shifting of critical singularities in finite systems...
متن کاملFinite size scaling for homogeneous pinning models
Abstract. Pinning models are built from discrete renewal sequences by rewarding (or penalizing) the trajectories according to their number of renewal epochs up to time N , and N is then sent to infinity. They are statistical mechanics models to which a lot of attention has been paid both because they are very relevant for applications and because of their exactly solvable character, while displ...
متن کاملFinite Size Effects and Scaling in Lattice CP N − 1
We present model predictions for the spectrum of CP N −1 in a periodic box and use them to interpret the strong finite size effects observed in lattice simulations at medium values of N. The asymptotic scaling behaviour of alternative lattice actions is discussed along with some aspects of multigrid algorithm efficiency. Introduction There has been considerable recent interest in simulations of...
متن کاملFinite-size Scaling for Potts Models in Long Cylinders
Using a recently developed method to rigorously control the finite-size behaviour in long cylinders near first-order phase transitions, I calculate the finite-size scaling of the first q+1 eigenvalues of the transfer matrix of the q states Potts model in a d dimensional periodic box of volume L × . . . × L × t (assuming that d ≥ 2 and that q is sufficiently large). I find two simple eigenvalues...
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: International Journal of Modern Physics A
سال: 1998
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x98000391