%0 Journal Article %1 Binder1981Critical %A Binder, K. %D 1981 %I American Physical Society %J Physical Review Letters %K montecarlo, renormalization critical-phenomena finite-size %N 9 %P 693--696 %R 10.1103/physrevlett.47.693 %T Critical Properties from Monte Carlo Coarse Graining and Renormalization %U http://dx.doi.org/10.1103/physrevlett.47.693 %V 47 %X The distribution function PL(s) of the local order parameter s in finite blocks of size Ld is studied for Ising models for dimensionalities d=2, 3, and 4 by Monte Carlo methods. A real-space renormalization group based on phenomenological scaling yields fairly accurate results for rather small L (e.g., the standard exponents β and ν for d=3 are found as 2β/ν=1.03±0.01, 1/ν=1.60±0.05). The method can easily be generalized to arbitrary Hamiltonians, including spin dimensionalities n>1.

@article{Binder1981Critical, abstract = {{The distribution function PL(s) of the local order parameter s in finite blocks of size Ld is studied for Ising models for dimensionalities d=2, 3, and 4 by Monte Carlo methods. A real-space renormalization group based on phenomenological scaling yields fairly accurate results for rather small L (e.g., the standard exponents β and ν for d=3 are found as 2β/ν=1.03±0.01, 1/ν=1.60±0.05). The method can easily be generalized to arbitrary Hamiltonians, including spin dimensionalities n>1.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Binder, K.}, biburl = {https://www.bibsonomy.org/bibtex/262f87b7463baaa514dff9442d054a1eb/nonancourt}, citeulike-article-id = {6170526}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.47.693}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v47/i9/p693}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v47/i9/p693}, doi = {10.1103/physrevlett.47.693}, interhash = {973055e305b33d5d6675e0ef08bdaa2e}, intrahash = {62f87b7463baaa514dff9442d054a1eb}, issn = {0031-9007}, journal = {Physical Review Letters}, keywords = {montecarlo, renormalization critical-phenomena finite-size}, month = aug, number = 9, pages = {693--696}, posted-at = {2011-06-21 18:43:46}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:16:40.000+0200}, title = {{Critical Properties from Monte Carlo Coarse Graining and Renormalization}}, url = {http://dx.doi.org/10.1103/physrevlett.47.693}, volume = 47, year = 1981 }