Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model. Fytas, N. G., Martin-Mayor, V., Picco, M., & Sourlas, N. nov, 2016. Paper abstract bibtex We report a high-precision numerical estimation of the critical exponent \$}\backslashalpha{\$ of the specific heat of the random-field Ising model in four dimensions. Our result \$}\backslashalpha = 0.12(1){\$ indicates a diverging specific-heat behavior and is consistent with the estimation coming from the modified hyperscaling relation using our estimate of \$}\backslashtheta{\$ via the anomalous dimensions \$}\backslasheta{\$ and \$}\backslashbar{\{}\backslasheta{\}}{\$. Our analysis benefited form a high-statistics zero-temperature numerical simulation of the model for two distributions of the random fields, namely a Gaussian and Poissonian distribution, as well as recent advances in finite-size scaling and reweighting methods for disordered systems. An original estimate of the critical slowing down exponent \$}z{\$ of the maximum-flow algorithm used is also provided.
@article{Fytas2016a,
abstract = {We report a high-precision numerical estimation of the critical exponent {\$}\backslashalpha{\$} of the specific heat of the random-field Ising model in four dimensions. Our result {\$}\backslashalpha = 0.12(1){\$} indicates a diverging specific-heat behavior and is consistent with the estimation coming from the modified hyperscaling relation using our estimate of {\$}\backslashtheta{\$} via the anomalous dimensions {\$}\backslasheta{\$} and {\$}\backslashbar{\{}\backslasheta{\}}{\$}. Our analysis benefited form a high-statistics zero-temperature numerical simulation of the model for two distributions of the random fields, namely a Gaussian and Poissonian distribution, as well as recent advances in finite-size scaling and reweighting methods for disordered systems. An original estimate of the critical slowing down exponent {\$}z{\$} of the maximum-flow algorithm used is also provided.},
archivePrefix = {arXiv},
arxivId = {1611.09015},
author = {Fytas, N. G. and Martin-Mayor, V. and Picco, M. and Sourlas, N.},
eprint = {1611.09015},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2016 - Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model.pdf:pdf},
month = {nov},
pages = {11},
title = {{Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model}},
url = {http://arxiv.org/abs/1611.09015},
year = {2016}
}
Downloads: 0
{"_id":"GLtWpC9FFvpWHCtX4","bibbaseid":"fytas-martinmayor-picco-sourlas-specificheatexponentandmodifiedhyperscalinginthe4drandomfieldisingmodel-2016","downloads":0,"creationDate":"2018-02-07T15:42:47.656Z","title":"Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model","author_short":["Fytas, N. G.","Martin-Mayor, V.","Picco, M.","Sourlas, N."],"year":2016,"bibtype":"article","biburl":"http://www.lpthe.jussieu.fr/~picco/MPP.bib","bibdata":{"bibtype":"article","type":"article","abstract":"We report a high-precision numerical estimation of the critical exponent \\$}\\backslashalpha{\\$ of the specific heat of the random-field Ising model in four dimensions. Our result \\$}\\backslashalpha = 0.12(1){\\$ indicates a diverging specific-heat behavior and is consistent with the estimation coming from the modified hyperscaling relation using our estimate of \\$}\\backslashtheta{\\$ via the anomalous dimensions \\$}\\backslasheta{\\$ and \\$}\\backslashbar{\\{}\\backslasheta{\\}}{\\$. Our analysis benefited form a high-statistics zero-temperature numerical simulation of the model for two distributions of the random fields, namely a Gaussian and Poissonian distribution, as well as recent advances in finite-size scaling and reweighting methods for disordered systems. An original estimate of the critical slowing down exponent \\$}z{\\$ of the maximum-flow algorithm used is also provided.","archiveprefix":"arXiv","arxivid":"1611.09015","author":[{"propositions":[],"lastnames":["Fytas"],"firstnames":["N.","G."],"suffixes":[]},{"propositions":[],"lastnames":["Martin-Mayor"],"firstnames":["V."],"suffixes":[]},{"propositions":[],"lastnames":["Picco"],"firstnames":["M."],"suffixes":[]},{"propositions":[],"lastnames":["Sourlas"],"firstnames":["N."],"suffixes":[]}],"eprint":"1611.09015","file":":Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2016 - Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model.pdf:pdf","month":"nov","pages":"11","title":"Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model","url":"http://arxiv.org/abs/1611.09015","year":"2016","bibtex":"@article{Fytas2016a,\nabstract = {We report a high-precision numerical estimation of the critical exponent {\\$}\\backslashalpha{\\$} of the specific heat of the random-field Ising model in four dimensions. Our result {\\$}\\backslashalpha = 0.12(1){\\$} indicates a diverging specific-heat behavior and is consistent with the estimation coming from the modified hyperscaling relation using our estimate of {\\$}\\backslashtheta{\\$} via the anomalous dimensions {\\$}\\backslasheta{\\$} and {\\$}\\backslashbar{\\{}\\backslasheta{\\}}{\\$}. Our analysis benefited form a high-statistics zero-temperature numerical simulation of the model for two distributions of the random fields, namely a Gaussian and Poissonian distribution, as well as recent advances in finite-size scaling and reweighting methods for disordered systems. An original estimate of the critical slowing down exponent {\\$}z{\\$} of the maximum-flow algorithm used is also provided.},\narchivePrefix = {arXiv},\narxivId = {1611.09015},\nauthor = {Fytas, N. G. and Martin-Mayor, V. and Picco, M. and Sourlas, N.},\neprint = {1611.09015},\nfile = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2016 - Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model.pdf:pdf},\nmonth = {nov},\npages = {11},\ntitle = {{Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model}},\nurl = {http://arxiv.org/abs/1611.09015},\nyear = {2016}\n}\n","author_short":["Fytas, N. G.","Martin-Mayor, V.","Picco, M.","Sourlas, N."],"key":"Fytas2016a","id":"Fytas2016a","bibbaseid":"fytas-martinmayor-picco-sourlas-specificheatexponentandmodifiedhyperscalinginthe4drandomfieldisingmodel-2016","role":"author","urls":{"Paper":"http://arxiv.org/abs/1611.09015"},"downloads":0,"html":""},"search_terms":["specific","heat","exponent","modified","hyperscaling","random","field","ising","model","fytas","martin-mayor","picco","sourlas"],"keywords":[],"authorIDs":[],"dataSources":["8TDx7kHuMzkB9rP5g"]}