Universal scaling behavior of non-equilibrium phase transitions

S Lübeck - International Journal of Modern Physics B, 2004 - World Scientific
Non-equilibrium critical phenomena have attracted a lot of research interest in the recent
decades. Similar to equilibrium critical phenomena, the concept of universality remains the …

Statistical mechanics of equilibrium and nonequilibrium phase transitions: the Yang–Lee formalism

I Bena, M Droz, A Lipowski - International Journal of Modern Physics …, 2005 - World Scientific
Showing that the location of the zeros of the partition function can be used to study phase
transitions, Yang and Lee initiated an ambitious and very fruitful approach. We give an …

Monte Carlo based techniques for quantum magnets with long-range interactions

P Adelhardt, JA Koziol, A Langheld, KP Schmidt - Entropy, 2024 - mdpi.com
Long-range interactions are relevant for a large variety of quantum systems in quantum
optics and condensed matter physics. In particular, the control of quantum–optical platforms …

Multicritical behavior in dissipative Ising models

VR Overbeck, MF Maghrebi, AV Gorshkov, H Weimer - Physical Review A, 2017 - APS
We analyze theoretically the many-body dynamics of a dissipative Ising model in a
transverse field using a variational approach. We find that the steady-state phase diagram is …

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 …

Phase transition of four-dimensional Ising model with higher-order tensor renormalization group

S Akiyama, Y Kuramashi, T Yamashita, Y Yoshimura - Physical review D, 2019 - APS
We apply the higher-order tensor renormalization group to the four-dimensional
ferromagnetic Ising model, which has been attracting interest in the context of the triviality of …

Ralph Kenna's scaling relations in critical phenomena

L Moueddene, A Donoso, B Berche - Entropy, 2024 - mdpi.com
In this note, we revisit the scaling relations among “hatted critical exponents”, which were
first derived by Ralph Kenna, Des Johnston, and Wolfhard Janke, and we propose an …

Boundary conditions and universal finite-size scaling for the hierarchical model in dimensions 4 and higher

E Michta, J Park, G Slade - arxiv preprint arxiv:2306.00896, 2023 - arxiv.org
We analyse and clarify the finite-size scaling of the weakly-coupled hierarchical $ n $-
component $|\varphi|^ 4$ model for all integers $ n\ge 1$ in all dimensions $ d\ge 4$, for …

Scaling relations for logarithmic corrections

R Kenna, DA Johnston, W Janke - Physical review letters, 2006 - APS
Multiplicative logarithmic corrections to scaling are frequently encountered in the critical
behavior of certain statistical-mechanical systems. Here, a Lee-Yang zero approach is used …

Universal finite-size scaling in high-dimensional critical phenomena

Y Liu, J Park, G Slade - arxiv preprint arxiv:2412.08814, 2024 - arxiv.org
We present a new unified theory of critical finite-size scaling for lattice statistical mechanical
models with periodic boundary conditions above the upper critical dimension. The universal …