Review of recent developments in the random-field Ising model

NG Fytas, V Martín-Mayor, M Picco… - Journal of Statistical …, 2018 - Springer
A lot of progress has been made recently in our understanding of the random-field Ising
model thanks to large-scale numerical simulations. In particular, it has been shown that …

Finite-size scaling of the random-field Ising model above the upper critical dimension

NG Fytas, V Martín-Mayor, G Parisi, M Picco, N Sourlas - Physical Review E, 2023 - APS
Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of
statistical physics. Even for pure systems various scaling theories have been suggested …

Restoration of dimensional reduction in the random-field Ising model at five dimensions

NG Fytas, V Martín-Mayor, M Picco, N Sourlas - Physical Review E, 2017 - APS
The random-field Ising model is one of the few disordered systems where the perturbative
renormalization group can be carried out to all orders of perturbation theory. This analysis …

Phase transitions in disordered systems: the example of the random-field Ising model in four dimensions

NG Fytas, V Martín-Mayor, M Picco, N Sourlas - Physical review letters, 2016 - APS
By performing a high-statistics simulation of the D= 4 random-field Ising model at zero
temperature for different shapes of the random-field distribution, we show that the model is …

Evidence for Supersymmetry in the Random-Field Ising Model at

NG Fytas, V Martín-Mayor, G Parisi, M Picco… - Physical review letters, 2019 - APS
We provide a nontrivial test of supersymmetry in the random-field Ising model at five spatial
dimensions, by means of extensive zero-temperature numerical simulations. Indeed …

Statistical mechanics of coupled supercooled liquids in finite dimensions

B Guiselin, L Berthier, G Tarjus - SciPost Physics, 2022 - scipost.org
We study the statistical mechanics of supercooled liquids when the system evolves at a
temperature $ T $ with a field $\epsilon $ linearly coupled to its overlap with a reference …

Four Lectures on the Random Field Ising Model, Parisi-Sourlas Supersymmetry, and Dimensional Reduction

S Rychkov - arXiv preprint arXiv:2303.09654, 2023 - arxiv.org
Numerical evidence suggests that the Random Field Ising Model loses Parisi-Sourlas SUSY
and the dimensional reduction property somewhere between 4 and 5 dimensions, while a …

Effect of confinement on capillary phase transition in granular aggregates

S Monfared, T Zhou, JE Andrade, K Ioannidou… - Physical Review Letters, 2020 - APS
Using a 3D mean-field lattice-gas model, we analyze the effect of confinement on the nature
of capillary phase transition in granular aggregates with varying disorder and their inverse …

Universality from disorder in the random-bond Blume-Capel model

NG Fytas, J Zierenberg, PE Theodorakis, M Weigel… - Physical Review E, 2018 - APS
Using high-precision Monte Carlo simulations and finite-size scaling we study the effect of
quenched disorder in the exchange couplings on the Blume-Capel model on the square …

The effect of finite driving rate on avalanche distributions

S Radić, S Janićević, D Jovković… - Journal of Statistical …, 2021 - iopscience.iop.org
We study distributions of spin avalanches in the three-dimensional nonequilibrium zero
temperature random field Ising model driven by external magnetic field that is increased at …