A GEOMETRIC APPROACH TO THE PHASE TRANSITIONS

Semra Demirtürk () and Yiğit Gündüç ()
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Semra Demirtürk: Hacettepe University, Physics Department, 06532 Beytepe, Ankara, Turkey
Yiğit Gündüç: Hacettepe University, Physics Department, 06532 Beytepe, Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 09, 1361-1373

Abstract: In this work, we have proposed a new geometrical method for calculating the critical temperature and critical exponents by introducing a set of bond breaking probability values. The probability valuePccorresponding to the Coniglio–Klein probability for the transition temperature is obtained among this set of trial probabilities. Critical temperature, thermal and magnetic exponents are presented ford = 2andd = 3,q = 2Potts model and for the application of the method to the system with first order phase transition,q = 7Potts model on different size lattices are employed.The advantage of this method can be that the bond breaking probability can be applied, where the clusters are defined on a set of dynamic variables, which are different from the dynamic quantities of the actual Hamiltonian or the action of the full system. An immediate application can be to use the method on finite temperature lattice gauge theories.

Keywords: Phase transition; Potts model; finite size scaling; geometrical approach to phase transitions; Monte Carlo simulation; finite temperature lattice gauge theories (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002632

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