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 |
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
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Fytas, N., Martin-Mayor, V., Parisi, G., Picco, M., & Sourlas, N. (2019). On the critical exponent α of the 5D random-field Ising model. Journal of Statistical Mechanics: Theory and Experiment, 2019(9), [093203]. https://doi.org/10.1088/1742-5468/ab3987