Abstract
We present a complementary estimation of the critical exponent α of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result α = 0.12(2) is consistent with the estimation coming from the modified hyperscaling relation and provides additional evidence in favor of the recently proposed restoration of dimensional reduction in the random-field Ising model at D = 5.
| Original language | English |
|---|---|
| Article number | 093203 |
| Number of pages | 11 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2019 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 3 Sep 2019 |
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Bibliographical note
This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Statistical Mechanics: Theory and Experiment IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://dx.doi.org/10.1088/1742-5468/ab3987Keywords
- classical phase transitions
- critical exponents and amplitudes
- finite-size scaling
- numerical simulations
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty
Cite this
On the critical exponent α of the 5D random-field Ising model. / Fytas, Nikolaos; Martin-Mayor, Victor; Parisi, Giorgio; Picco, Marco; Sourlas, Nicolas.
In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2019, No. 9, 093203, 03.09.2019.Research output: Contribution to journal › Article
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TY - JOUR
T1 - On the critical exponent α of the 5D random-field Ising model
AU - Fytas, Nikolaos
AU - Martin-Mayor, Victor
AU - Parisi, Giorgio
AU - Picco, Marco
AU - Sourlas, Nicolas
N1 - This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Statistical Mechanics: Theory and Experiment IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://dx.doi.org/10.1088/1742-5468/ab3987
PY - 2019/9/3
Y1 - 2019/9/3
N2 - We present a complementary estimation of the critical exponent α of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result α = 0.12(2) is consistent with the estimation coming from the modified hyperscaling relation and provides additional evidence in favor of the recently proposed restoration of dimensional reduction in the random-field Ising model at D = 5.
AB - We present a complementary estimation of the critical exponent α of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result α = 0.12(2) is consistent with the estimation coming from the modified hyperscaling relation and provides additional evidence in favor of the recently proposed restoration of dimensional reduction in the random-field Ising model at D = 5.
KW - classical phase transitions
KW - critical exponents and amplitudes
KW - finite-size scaling
KW - numerical simulations
UR - http://www.scopus.com/inward/record.url?scp=85072014813&partnerID=8YFLogxK
U2 - 10.1088/1742-5468/ab3987
DO - 10.1088/1742-5468/ab3987
M3 - Article
VL - 2019
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
SN - 1742-5468
IS - 9
M1 - 093203
ER -