%0 Book Section %1 statphys23_0277 %A Fenz, W. %A Folk, R. %A Mryglod, I.M. %A Omelyan, I.P. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K finite-size fisher-renormalization fluid ising montecarlo scaling statphys23 topic-2 %T Are the critical exponents in an Ising fluid Fisher-renormalized? %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=277 %X We study the ferromagnetic order-disorder phase transition in Ising spin fluids with hard-core Yukawa exchange interaction truncated at various cut-off radii $r_c$. We have performed extensive Monte Carlo simulations in the canonical ensemble at a fixed density, employing the Wolff cluster algorithm for spin updates, and analyzed the data using the histogram reweighting technique and finite-size scaling methods. Our system sizes range up to 10000 particles. We focus our interest on the dependence of critical quantities such as the Binder cumulant and various exponent ratios on the value of $r_c$, and on the question whether the Fisher-renormalized exponents expected for such systems can be observed in the simulations. It turns out that corrections to scaling decaying with a small exponent make it impossible to reach the asymptotic region with the restricted computational power available. Thus, we can only obtain effective exponents, with different (nonuniversal) values depending on the cut-off radius. A similar behavior is also found for the critical Binder cumulant. Nevertheless, a closer investigation of the effective susceptibility exponent $\gamma_\smalleff$ as a function of temperature reveals a tendency towards a Fisher-renormalized asymptotic value. Supported by the Austrian Fonds zur Foerderung der wissenschaftlichen Forschung, project No P18592-TPH.

@incollection{statphys23_0277, abstract = {We study the ferromagnetic order-disorder phase transition in Ising spin fluids with hard-core Yukawa exchange interaction truncated at various cut-off radii $r_c$. We have performed extensive Monte Carlo simulations in the canonical ensemble at a fixed density, employing the Wolff cluster algorithm for spin updates, and analyzed the data using the histogram reweighting technique and finite-size scaling methods. Our system sizes range up to 10000 particles. We focus our interest on the dependence of critical quantities such as the Binder cumulant and various exponent ratios on the value of $r_c$, and on the question whether the Fisher-renormalized exponents expected for such systems can be observed in the simulations. It turns out that corrections to scaling decaying with a small exponent make it impossible to reach the asymptotic region with the restricted computational power available. Thus, we can only obtain effective exponents, with different (nonuniversal) values depending on the cut-off radius. A similar behavior is also found for the critical Binder cumulant. Nevertheless, a closer investigation of the effective susceptibility exponent $\gamma_{\textrm{\small{eff}}}$ as a function of temperature reveals a tendency towards a Fisher-renormalized asymptotic value. Supported by the Austrian Fonds zur Foerderung der wissenschaftlichen Forschung, project No P18592-TPH.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Fenz, W. and Folk, R. and Mryglod, I.M. and Omelyan, I.P.}, biburl = {https://www.bibsonomy.org/bibtex/24d40df99ca543973960c9faacd48ba20/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {eed07dcfdbd59e1cbd8e0ec2d2802265}, intrahash = {4d40df99ca543973960c9faacd48ba20}, keywords = {finite-size fisher-renormalization fluid ising montecarlo scaling statphys23 topic-2}, month = {9-13 July}, timestamp = {2007-06-20T10:16:15.000+0200}, title = {Are the critical exponents in an Ising fluid Fisher-renormalized?}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=277}, year = 2007 }