Influence of the line stiffness on the critical properties of 2d domain walls and polymer systems |
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Authors: | Horst E Müser Franz S Rys |
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Institution: | (1) Fachbereich Physik, Universität des Saarlandes, D-6600 Saarbrücken, Germany;(2) Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-1000 Berlin, Germany;(3) Present address: Institut für Theoretische Physik, Freie Universität Berlin, D-1000 Berlin 33, Germany |
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Abstract: | A recently developed efficient Monte-Carlo method is used to calculate the critical equilibrium properties of a 2-dimensional system of thermal loops (loop gas) in dependence of the line stiffness energys. With increasing s the critical temperatureT
c
(defining an Ising-like behaviour fors<1)decreases monotonically toT
c
=0 ats=1 (in units of the line energy). Fors>1,T
c
increases monotonically withs and defines anon-universal critical behaviour. The critical line is calculated in a phase diagram (i) as aT
c
-versus-s plot showing a dipT
c
=0 ats=1 and (ii) in a concentration (c)-versus-s diagram, describing, alternatively, a dilute system of rough polymers. In the latter diagram the critical concentration decreases monotonically withs fors<1 and increases withs fors>1. |
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Keywords: | |
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