%0 Book Section %1 statphys23_0342 %A Boettcher, S. %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 boundary critical dimension edwards-anderson glasses lower percolation phase spin statphys23 stiffness topic-9 %T Simulations of Ising Spin Glasses on bond-diluted Lattices %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=342 %X Results are presented for low-temperature excitations of the Edwards-Anderson model on bond-diluted hyper-cubic lattices. Well above bond percolation $p_c$, dilution provides an efficient means to obtain accurate predictions for equilibrium properties of the glassy phase. For example, stiffness exponents $y_d$ are computed in up to $d=7$ dimensionsEurophysics Letters 67, 453-459 (2004).. Fitting $y_d$ yields a lower critical dimension of $d_l=5/2$ (where $y_d=0$) to within 0.1\%,Physical Review Letters 95, 197205 (2005). in agreement with earlier theoretical work. Directly at $p_c$, the boundary between the spin-glass and the paramagnetic phase at $T=0$, equilibrium theory provides experimentally testable predictions for the shape of the phase boundary $T_g\sim(p-p_c)^\phi$, with simulations predicting $\phi=1.12(1)$.

@incollection{statphys23_0342, abstract = {Results are presented for low-temperature excitations of the Edwards-Anderson model on bond-diluted hyper-cubic lattices. Well above bond percolation $p_c$, dilution provides an efficient means to obtain accurate predictions for equilibrium properties of the glassy phase. For example, stiffness exponents $y_d$ are computed in up to $d=7$ dimensions\footnote{Europhysics Letters {\bf 67}, 453-459 (2004).}. Fitting $y_d$ yields a lower critical dimension of $d_l=5/2$ (where $y_d=0$) to within 0.1\%,\footnote{Physical Review Letters {\bf 95}, 197205 (2005).} in agreement with earlier theoretical work. Directly at $p_c$, the boundary between the spin-glass and the paramagnetic phase at $T=0$, equilibrium theory provides experimentally testable predictions for the shape of the phase boundary $T_g\sim(p-p_c)^\phi$, with simulations predicting $\phi=1.12(1)$.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Boettcher, S.}, biburl = {https://www.bibsonomy.org/bibtex/2cd810c442fd6bfbcb832723470fea3ea/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {d308872b69ad348418b34f37b08f6676}, intrahash = {cd810c442fd6bfbcb832723470fea3ea}, keywords = {boundary critical dimension edwards-anderson glasses lower percolation phase spin statphys23 stiffness topic-9}, month = {9-13 July}, timestamp = {2007-06-20T10:16:17.000+0200}, title = {Simulations of Ising Spin Glasses on bond-diluted Lattices}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=342}, year = 2007 }