scholarly journals Finite-size effects in film geometry with nonperiodic boundary conditions: Gaussian model and renormalization-group theory at fixed dimension

2010 ◽  
Vol 81 (6) ◽  
Author(s):  
Boris Kastening ◽  
Volker Dohm
Keyword(s):  
Renormalization Group ◽  
Group Theory ◽  
Boundary Conditions ◽  
Size Effects ◽  
Gaussian Model ◽  
Finite Size ◽  
Renormalization Group Theory ◽  
Finite Size Effects ◽  
Fixed Dimension

scholarly journals TESTING BOUNDARY CONDITIONS EFFICIENCY IN SIMULATIONS OF LONG-RANGE INTERACTING MAGNETIC MODELS

2004 ◽  
Vol 15 (01) ◽  
pp. 115-127 ◽  
Author(s):  
SERGIO A. CANNAS ◽  
CINTIA M. LAPILLI ◽  
DANIEL A. STARIOLO
Keyword(s):  
Low Temperature ◽  
Boundary Conditions ◽  
Size Effects ◽  
Periodic Boundary ◽  
Finite Size ◽  
Periodic Boundary Conditions ◽  
Ferromagnetic Phase ◽  
Temperature Phase ◽  
Finite Size Effects ◽  
Magnetic Systems

Periodic boundary conditions have no unique implementation in magnetic systems where all spins interact with each other through a power law decaying interaction of the form 1/rα, r being the distance between spins. In this work we present a comparative study of the finite size effects oberved in numerical simulations by using first image and infinite image periodic boundary conditions in one- and two-dimensional spin systems with those interactions, including the ferromagnetic, anti-ferromagnetic and competitive interaction cases. Our results show no significative differences between the finite size effects produced by both boundary conditions when the low temperature phase has zero global magnetization, and it depends on the ratio α/d for systems with a low temperature ferromagnetic phase. In the last case the first image convention gives more stronger finite size effects than the other when the system enters into the classical regime α/d≤3/2.

scholarly journals THE ASYMPTOTICS OF THE CORRELATION FUNCTIONS IN (1+1)d QUANTUM FIELD THEORY FROM FINITE SIZE EFFECTS IN CONFORMAL THEORIES

1992 ◽  
Vol 07 (16) ◽  
pp. 3885-3909 ◽  
Author(s):  
A. MIRONOV ◽  
A. ZABRODIN
Keyword(s):  
Correlation Functions ◽  
Size Effects ◽  
Central Charge ◽  
Gaussian Model ◽  
Finite Size ◽  
Lattice Models ◽  
Thermodynamic Characteristics ◽  
Finite Size Effects ◽  
Nonlocal Operators ◽  
Exact Integrability

Using the finite-size effects, the scaling dimensions and correlation functions of the main operators in continuous and lattice models of 1d spinless Bose-gas with pairwise interaction of rather general form are obtained. The long-wave properties of these systems can be described by the Gaussian model with central charge c=1. The disorder operators of the extended Gaussian model are found to correspond to some nonlocal operators in the XXZ Heisenberg antiferromagnet. This same approach is applicable to fermionic systems. Scaling dimensions of operators and correlation functions in the systems of interacting Fermi-particles are obtained. We present a universal treatment for 1d systems of different kinds which is independent of the exact integrability and which gives universal expressions for critical exponents through the thermodynamic characteristics of the system.

Finite size effects and twisted boundary conditions

1987 ◽  
Vol 287 ◽  
pp. 569-588 ◽  
Author(s):  
A. Coste ◽  
A. Gonzalez-Arroyo ◽  
C.P.Korthals Altes ◽  
B. Sōderberg ◽  
A. Tarancon
Keyword(s):  
Boundary Conditions ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Twisted Boundary Conditions
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