DPG Phi
Verhandlungen
Verhandlungen
DPG

Regensburg 2007 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 23: Finite size effects at phase transitions III (session accompanying the symposium of the same name)

DY 23.3: Vortrag

Mittwoch, 28. März 2007, 16:15–16:30, H3

Finite-size scaling study of the six-vertex F model on regular and random lattices — •Martin Weigel1 and Wolfhard Janke21Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, UK — 2Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany

Finite-size scaling (FSS) has been established as a powerful standard technique for the analysis of phase transitions, in particular from numerical simulation data. While in the common situation of a second (or even first) order phase transition, FSS techniques easily lead to high-precision estimates, more care is needed in some special circumstances such as the case of infinite-order Berezinski-Kosterlitz-Thouless phase transitions, where the power laws are replaced by exponentials and logarithmic corrections occur. We consider FSS in the six-vertex F model representative of this universality class, using high-precision, cluster-update Monte Carlo simulations [1]. The availability of an exact solution for the thermodynamic limit of this model allows for a rather detailed investigation of the occurring corrections. Extending on this, a further complication is introduced by considering this model coupled to a class of random lattices with a non-trivial fractal dimension, confining the analysis to very small effective linear system sizes [2].
[1] M. Weigel and W. Janke, J. Phys. A 38 (2005) 7067.

[2] M. Weigel and W. Janke, Nucl. Phys. B 719 (2005) 312.

100% | Mobil-Ansicht | English Version | Kontakt/Impressum/Datenschutz
DPG-Physik > DPG-Verhandlungen > 2007 > Regensburg