Journal de Physique

Finite-Size Scaling in the Ageing Dynamics of the 1D Glauber–Ising Model

Malte Henkel
Entropy 27 (2) 139 (2025)
https://doi.org/10.3390/e27020139

Finite-size scaling on the torus with periodic projected entangled-pair states

Gleb Fedorovich, Lukas Devos, Jutho Haegeman, Laurens Vanderstraeten, Frank Verstraete and Atsushi Ueda
Physical Review B 111 (16) (2025)
https://doi.org/10.1103/PhysRevB.111.165124

Cooperation in public goods games: Leveraging other-regarding reinforcement learning on hypergraphs

Bo-Ying Li, Zhen-Na Zhang, Guo-Zhong Zheng, Chao-Ran Cai, Ji-Qiang Zhang and Li Chen
Physical Review E 111 (1) (2025)
https://doi.org/10.1103/PhysRevE.111.014304

Critical Casimir forces in soft matter

A. Gambassi and S. Dietrich
Soft Matter 20 (15) 3212 (2024)
https://doi.org/10.1039/D3SM01408H

Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations

Calvin Krämer, Jan Alexander Koziol, Anja Langheld, Max Hörmann and Kai Phillip Schmidt
SciPost Physics 17 (2) (2024)
https://doi.org/10.21468/SciPostPhys.17.2.061

On a previously unpublished work with Ralph Kenna

R. Kenna and B. Berche
Condensed Matter Physics 27 (3) 33602 (2024)
https://doi.org/10.5488/cmp.27.33602

Monte Carlo Based Techniques for Quantum Magnets with Long-Range Interactions

Patrick Adelhardt, Jan A. Koziol, Anja Langheld and Kai P. Schmidt
Entropy 26 (5) 401 (2024)
https://doi.org/10.3390/e26050401

Critical Quantum Metrology Assisted by Real-Time Feedback Control

Raffaele Salvia, Mohammad Mehboudi and Martí Perarnau-Llobet
Physical Review Letters 130 (24) (2023)
https://doi.org/10.1103/PhysRevLett.130.240803

Entanglement in the quantum spherical model: a review

Sascha Wald, Raul Arias and Vincenzo Alba
The European Physical Journal Special Topics 232 (11) 1799 (2023)
https://doi.org/10.1140/epjs/s11734-023-00891-9

Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model

Malte Henkel and Stoimen Stoimenov
Nuclear Physics B 997 116379 (2023)
https://doi.org/10.1016/j.nuclphysb.2023.116379

Finite-temperature critical behaviors in 2D long-range quantum Heisenberg model

Jiarui Zhao, Menghan Song, Yang Qi, Junchen Rong and Zi Yang Meng
npj Quantum Materials 8 (1) (2023)
https://doi.org/10.1038/s41535-023-00591-6

Finite‐Size Scaling for the Permeability of Discrete Fracture Networks

Tingchang Yin, Teng Man, Ling Li and Sergio Andres Galindo‐Torres
Geophysical Research Letters 50 (6) (2023)
https://doi.org/10.1029/2022GL100837

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

Nikolaos G. Fytas, Víctor Martín-Mayor, Giorgio Parisi, Marco Picco and Nicolas Sourlas
Physical Review E 108 (4) (2023)
https://doi.org/10.1103/PhysRevE.108.044146

Critical Casimir effect: Exact results

D.M. Dantchev and S. Dietrich
Physics Reports 1005 1 (2023)
https://doi.org/10.1016/j.physrep.2022.12.004

Phase transitions above the upper critical dimension

Bertrand Berche, Tim Ellis, Yurij Holovatch and Ralph Kenna
SciPost Physics Lecture Notes (2022)
https://doi.org/10.21468/SciPostPhysLectNotes.60

Effective-dimension theory of critical phenomena above upper critical dimensions

Shaolong Zeng, Sue Ping Szeto and Fan Zhong
Physica Scripta 97 (12) 125002 (2022)
https://doi.org/10.1088/1402-4896/ac9ca3

Scaling at quantum phase transitions above the upper critical dimension

Anja Langheld, Jan Alexander Koziol, Patrick Adelhardt, Sebastian Kapfer and Kai P. Schmidt
SciPost Physics 13 (4) (2022)
https://doi.org/10.21468/SciPostPhys.13.4.088

Universal scaling solution for the connectivity of discrete fracture networks

Tingchang Yin, Teng Man and Sergio Andres Galindo-Torres
Physica A: Statistical Mechanics and its Applications 599 127495 (2022)
https://doi.org/10.1016/j.physa.2022.127495

Renormalization group study of marginal ferromagnetism

Andrea Cavagna, Antonio Culla and Tomás S. Grigera
Physical Review E 106 (5) (2022)
https://doi.org/10.1103/PhysRevE.106.054136

Entanglement scaling for λϕ24

Bram Vanhecke, Frank Verstraete and Karel Van Acoleyen
Physical Review D 106 (7) (2022)
https://doi.org/10.1103/PhysRevD.106.L071501

Phases fluctuations and anomalous finite-time scaling in an externally applied field on finite-sized lattices

Weilun Yuan and Fan Zhong
Journal of Physics: Condensed Matter 33 (37) 375401 (2021)
https://doi.org/10.1088/1361-648X/ac0ea8

Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations

Jan Alexander Koziol, Anja Langheld, Sebastian C. Kapfer and Kai Phillip Schmidt
Physical Review B 103 (24) (2021)
https://doi.org/10.1103/PhysRevB.103.245135

Logarithmic finite-size scaling of the self-avoiding walk at four dimensions

Sheng Fang, Youjin Deng and Zongzheng Zhou
Physical Review E 104 (6) (2021)
https://doi.org/10.1103/PhysRevE.104.064108

Recognition capabilities of a Hopfield model with auxiliary hidden neurons

Marco Benedetti, Victor Dotsenko, Giulia Fischetti, Enzo Marinari and Gleb Oshanin
Physical Review E 103 (6) (2021)
https://doi.org/10.1103/PhysRevE.103.L060401

Self-Similarity Breaking: Anomalous Nonequilibrium Finite-Size Scaling and Finite-Time Scaling

Weilun Yuan, Shuai Yin and Fan Zhong
Chinese Physics Letters 38 (2) 026401 (2021)
https://doi.org/10.1088/0256-307X/38/2/026401

Have I Really Been a Condensed Matter Theorist? I'm Not Sure, but Does It Matter?

Edouard Brézin
Annual Review of Condensed Matter Physics 12 (1) 1 (2021)
https://doi.org/10.1146/annurev-conmatphys-060120-092046

Quantum computing critical exponents

Henrik Dreyer, Mircea Bejan and Etienne Granet
Physical Review A 104 (6) (2021)
https://doi.org/10.1103/PhysRevA.104.062614

Entanglement gap, corners, and symmetry breaking

Vincenzo Alba
SciPost Physics 10 (3) (2021)
https://doi.org/10.21468/SciPostPhys.10.3.056

Phases fluctuations, self-similarity breaking and anomalous scalings in driven nonequilibrium critical phenomena

Weilun Yuan and Fan Zhong
Journal of Physics: Condensed Matter 33 (38) 385401 (2021)
https://doi.org/10.1088/1361-648X/ac0f9d

Optimal Quantum Thermometry with Coarse-Grained Measurements

Karen V. Hovhannisyan, Mathias R. Jørgensen, Gabriel T. Landi, et al.
PRX Quantum 2 (2) (2021)
https://doi.org/10.1103/PRXQuantum.2.020322

Complete graph and Gaussian fixed-point asymptotics in the five-dimensional Fortuin-Kasteleyn Ising model with periodic boundaries

Sheng Fang, Jens Grimm, Zongzheng Zhou and Youjin Deng
Physical Review E 102 (2) (2020)
https://doi.org/10.1103/PhysRevE.102.022125

Closure of the entanglement gap at quantum criticality: The case of the quantum spherical model

Sascha Wald, Raúl Arias and Vincenzo Alba
Physical Review Research 2 (4) (2020)
https://doi.org/10.1103/PhysRevResearch.2.043404

Entropy production at criticality in a nonequilibrium Potts model

Thomas Martynec, Sabine H L Klapp and Sarah A M Loos
New Journal of Physics 22 (9) 093069 (2020)
https://doi.org/10.1088/1367-2630/abb5f0

A study of quantum field theories in AdS at finite coupling

Dean Carmi, Lorenzo Di Pietro and Shota Komatsu
Journal of High Energy Physics 2019 (1) (2019)
https://doi.org/10.1007/JHEP01(2019)200

Scaling Hypothesis for Matrix Product States

Bram Vanhecke, Jutho Haegeman, Karel Van Acoleyen, Laurens Vanderstraeten and Frank Verstraete
Physical Review Letters 123 (25) (2019)
https://doi.org/10.1103/PhysRevLett.123.250604

A review of giant correlation-length effects via proximity and weak-links coupling in a critical system: 4He near the superfluid transition

J K Perron, M O Kimball and F M Gasparini
Reports on Progress in Physics 82 (11) 114501 (2019)
https://doi.org/10.1088/1361-6633/ab3df5

Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point

David Y.-J. Chu, Karl Jansen, Bastian Knippschild and C.-J. David Lin
Journal of High Energy Physics 2019 (1) (2019)
https://doi.org/10.1007/JHEP01(2019)110

The length of self-avoiding walks on the complete graph

Youjin Deng, Timothy M Garoni, Jens Grimm, Abrahim Nasrawi and Zongzheng Zhou
Journal of Statistical Mechanics: Theory and Experiment 2019 (10) 103206 (2019)
https://doi.org/10.1088/1742-5468/ab3da3

Noise induced phase transition in the S-state block voter model

João M. de Araújo, Cesar I.N. Sampaio Filho and Francisco G.B. Moreira
Physica A: Statistical Mechanics and its Applications 508 642 (2018)
https://doi.org/10.1016/j.physa.2018.05.133

Quantum Monte Carlo study of the spin-1/2 honeycomb Heisenberg model with mixed antiferromagnetic and ferromagnetic interactions in external magnetic fields

Yi-Zhen Huang and Gang Su
Physical Review E 95 (5) (2017)
https://doi.org/10.1103/PhysRevE.95.052147

Monopole-Based Scenarios of Confinement and Deconfinement in 3D and 4D

Dmitry Antonov
Universe 3 (2) 50 (2017)
https://doi.org/10.3390/universe3020050

Universal finite-size scaling for percolation theory in high dimensions

Ralph Kenna and Bertrand Berche
Journal of Physics A: Mathematical and Theoretical 50 (23) 235001 (2017)
https://doi.org/10.1088/1751-8121/aa6bd5

Upper and lower critical decay exponents of Ising ferromagnets with long-range interaction

Toshiki Horita, Hidemaro Suwa and Synge Todo
Physical Review E 95 (1) (2017)
https://doi.org/10.1103/PhysRevE.95.012143

Effects of boundary conditions and gradient flow in ( 1+1 )-dimensional lattice ϕ4 theory

A. Harindranath and Jyotirmoy Maiti
Physical Review D 95 (7) (2017)
https://doi.org/10.1103/PhysRevD.95.074506

Statistical field theory with constraints: Application to critical Casimir forces in the canonical ensemble

Markus Gross, Andrea Gambassi and S. Dietrich
Physical Review E 96 (2) (2017)
https://doi.org/10.1103/PhysRevE.96.022135

Dependence of exponents on text length versus finite-size scaling for word-frequency distributions

Álvaro Corral and Francesc Font-Clos
Physical Review E 96 (2) (2017)
https://doi.org/10.1103/PhysRevE.96.022318

Numerical evidence of hyperscaling violation in wetting transitions of the random-bond Ising model ind=2dimensions

Ezequiel V. Albano, Luciana Luque, Marta L. Trobo and Kurt Binder
Physical Review E 95 (2) (2017)
https://doi.org/10.1103/PhysRevE.95.022801

Dynamic scaling of the restoration of rotational symmetry in Heisenberg quantum antiferromagnets

Phillip Weinberg and Anders W. Sandvik
Physical Review B 96 (5) (2017)
https://doi.org/10.1103/PhysRevB.96.054442

Quantum phase transition, universality, and scaling behaviors in the spin-1/2 Heisenberg model with ferromagnetic and antiferromagnetic competing interactions on a honeycomb lattice

Yi-Zhen Huang, Bin Xi, Xi Chen, et al.
Physical Review E 93 (6) (2016)
https://doi.org/10.1103/PhysRevE.93.062110

Regularization and decimation pseudolikelihood approaches to statistical inference inXYspin models

Payal Tyagi, Alessia Marruzzo, Andrea Pagnani, Fabrizio Antenucci and Luca Leuzzi
Physical Review B 94 (2) (2016)
https://doi.org/10.1103/PhysRevB.94.024203

Exact Derivation of a Finite-Size Scaling Law and Corrections to Scaling in the Geometric Galton-Watson Process

Álvaro Corral, Rosalba Garcia-Millan, Francesc Font-Clos and Enrique Hernandez-Lemus
PLOS ONE 11 (9) e0161586 (2016)
https://doi.org/10.1371/journal.pone.0161586

Thickness-dependent cooperative aging in polycrystalline films of antiferromagnet CoO

Tianyu Ma, Xiang Cheng, Stefan Boettcher, Sergei Urazhdin and Lydia Novozhilova
Physical Review B 94 (2) (2016)
https://doi.org/10.1103/PhysRevB.94.024422

Multi-body quenched disorderedXYandp-clock models on random graphs

Alessia Marruzzo and Luca Leuzzi
Physical Review B 93 (9) (2016)
https://doi.org/10.1103/PhysRevB.93.094206

Role of Fourier Modes in Finite-Size Scaling above the Upper Critical Dimension

Emilio Flores-Sola, Bertrand Berche, Ralph Kenna and Martin Weigel
Physical Review Letters 116 (11) (2016)
https://doi.org/10.1103/PhysRevLett.116.115701

World-Line Formalism: Non-Perturbative Applications

Dmitry Antonov
Universe 2 (4) 28 (2016)
https://doi.org/10.3390/universe2040028

NonlinearXYandp-clock models on sparse random graphs: Mode-locking transition of localized waves

Alessia Marruzzo and Luca Leuzzi
Physical Review B 91 (5) (2015)
https://doi.org/10.1103/PhysRevB.91.054201

Finite-size scaling above the upper critical dimension in Ising models with long-range interactions

Emilio J. Flores-Sola, Bertrand Berche, Ralph Kenna and Martin Weigel
The European Physical Journal B 88 (1) (2015)
https://doi.org/10.1140/epjb/e2014-50683-1

Inference for interacting linear waves in ordered and random media

P Tyagi, A Pagnani, F Antenucci, M Ibánez Berganza and L Leuzzi
Journal of Statistical Mechanics: Theory and Experiment 2015 (5) P05031 (2015)
https://doi.org/10.1088/1742-5468/2015/05/P05031

Finite-size scaling, dynamic fluctuations, and hyperscaling relation in the Kuramoto model

Hyunsuk Hong, Hugues Chaté, Lei-Han Tang and Hyunggyu Park
Physical Review E 92 (2) (2015)
https://doi.org/10.1103/PhysRevE.92.022122

Finite-size scaling above the upper critical dimension

Matthew Wittmann and A. P. Young
Physical Review E 90 (6) (2014)
https://doi.org/10.1103/PhysRevE.90.062137

Finite-size behavior near the critical point of QCD phase-transition

Li-Zhu Chen, Yun-Yun Chen and Yuan-Fang Wu
Chinese Physics C 38 (10) 104103 (2014)
https://doi.org/10.1088/1674-1137/38/10/104103

Exact ground states of one-dimensional long-range random-field Ising magnets

Timo Dewenter and Alexander K. Hartmann
Physical Review B 90 (1) (2014)
https://doi.org/10.1103/PhysRevB.90.014207

Rare regions and Griffiths singularities at a clean critical point: The five-dimensional disordered contact process

Thomas Vojta, John Igo and José A. Hoyos
Physical Review E 90 (1) (2014)
https://doi.org/10.1103/PhysRevE.90.012139

Critical energy density ofO(n) models ind= 3

Rachele Nerattini, Andrea Trombettoni and Lapo Casetti
Journal of Statistical Mechanics: Theory and Experiment 2014 (12) P12001 (2014)
https://doi.org/10.1088/1742-5468/2014/12/P12001

Fisher's scaling relation above the upper critical dimension

R. Kenna and B. Berche
EPL (Europhysics Letters) 105 (2) 26005 (2014)
https://doi.org/10.1209/0295-5075/105/26005

Criticality and Quenched Disorder: Harris Criterion Versus Rare Regions

Thomas Vojta and José A. Hoyos
Physical Review Letters 112 (7) (2014)
https://doi.org/10.1103/PhysRevLett.112.075702

The susceptible–infected–recovered model on a Euclidean network

Abdul Khaleque and Parongama Sen
Journal of Physics A: Mathematical and Theoretical 46 (9) 095007 (2013)
https://doi.org/10.1088/1751-8113/46/9/095007

Critical behavior of coupled4He regions near the superfluid transition

Justin K. Perron, Mark O. Kimball, Kevin P. Mooney and Francis M. Gasparini
Physical Review B 87 (9) (2013)
https://doi.org/10.1103/PhysRevB.87.094507

Scaling functions for systems with finite range of interaction

C. I. N. Sampaio-Filho and F. G. B. Moreira
Physical Review E 88 (3) (2013)
https://doi.org/10.1103/PhysRevE.88.032142

Ising ferromagnet in dimension five: Link and spin overlaps

P. H. Lundow and I. A. Campbell
Physical Review E 87 (2) (2013)
https://doi.org/10.1103/PhysRevE.87.022102

Higgs-Yukawa Model in Chirally Invariant Lattice Field Theory

John Bulava, Philipp Gerhold, Karl Jansen, et al.
Advances in High Energy Physics 2013 1 (2013)
https://doi.org/10.1155/2013/875612

Jany Thibault, Jean‐Luc Rouviere and Alain Bourret
(2013)
https://doi.org/10.1002/9783527603978.mst0248

Finite-size behaviour of a critical related observable

Wu Yuanfang, Chen Lizhu, Pan Xue, Shao Ming and Xiaosong Chen
Open Physics 10 (6) (2012)
https://doi.org/10.2478/s11534-012-0143-7

Quantum criticality of the sub-Ohmic spin-boson model

Stefan Kirchner, Kevin Ingersent and Qimiao Si
Physical Review B 85 (7) (2012)
https://doi.org/10.1103/PhysRevB.85.075113

Spin glasses in the nonextensive regime

Matthew Wittmann and A. P. Young
Physical Review E 85 (4) (2012)
https://doi.org/10.1103/PhysRevE.85.041104

Excitations in high-dimensional random-field Ising magnets

Björn Ahrens and Alexander K. Hartmann
Physical Review B 85 (22) (2012)
https://doi.org/10.1103/PhysRevB.85.224421

Hyperscaling above the upper critical dimension

B. Berche, R. Kenna and J.-C. Walter
Nuclear Physics B 865 (1) 115 (2012)
https://doi.org/10.1016/j.nuclphysb.2012.07.021

Monte Carlo simulations of an unconventional phase transition for a two-dimensional dimerized quantum Heisenberg model

F.-J. Jiang
Physical Review B 85 (1) (2012)
https://doi.org/10.1103/PhysRevB.85.014414

Critical Point Coupling and Proximity Effects inHe4at the Superfluid Transition

Justin K. Perron and Francis M. Gasparini
Physical Review Letters 109 (3) (2012)
https://doi.org/10.1103/PhysRevLett.109.035302

Dynamics in the Sherrington-Kirkpatrick Ising spin glass at and aboveTg

Alain Billoire and I. A. Campbell
Physical Review B 84 (5) (2011)
https://doi.org/10.1103/PhysRevB.84.054442

Critical behavior of the random-field Ising model at and beyond the upper critical dimension

Björn Ahrens and Alexander K. Hartmann
Physical Review B 83 (1) (2011)
https://doi.org/10.1103/PhysRevB.83.014205

Collective oscillations of excitable elements: order parameters, bistability and the role of stochasticity

Fernando Rozenblit and Mauro Copelli
Journal of Statistical Mechanics: Theory and Experiment 2011 (01) P01012 (2011)
https://doi.org/10.1088/1742-5468/2011/01/P01012

Block voter model: Phase diagram and critical behavior

C. I. N. Sampaio-Filho and F. G. B. Moreira
Physical Review E 84 (5) (2011)
https://doi.org/10.1103/PhysRevE.84.051133

Chiral transition in a finite system and possible use of finite-size scaling in relativistic heavy ion collisions

L F Palhares, E S Fraga and T Kodama
Journal of Physics G: Nuclear and Particle Physics 38 (8) 085101 (2011)
https://doi.org/10.1088/0954-3899/38/8/085101

Phase transitions in the one-dimensional long-range diluted Heisenberg spin glass

Auditya Sharma and A. P. Young
Physical Review B 83 (21) (2011)
https://doi.org/10.1103/PhysRevB.83.214405

Conducting properties of classical transmission lines with Ornstein–Uhlenbeck type disorder

E. Lazo and E. Diez
Physics Letters A 375 (21) 2122 (2011)
https://doi.org/10.1016/j.physleta.2011.02.049

de Almeida–Thouless line studied using one-dimensional power-law diluted Heisenberg spin glasses

Auditya Sharma and A. P. Young
Physical Review B 84 (1) (2011)
https://doi.org/10.1103/PhysRevB.84.014428

Finite-size scaling as a tool in the search for the QCD critical point in heavy ion data

Eduardo S. Fraga, Letícia F. Palhares and Paul Sorensen
Physical Review C 84 (1) (2011)
https://doi.org/10.1103/PhysRevC.84.011903

Extended scaling analysis of theS=12Ising ferromagnet on the simple cubic lattice

I. A. Campbell and P. H. Lundow
Physical Review B 83 (1) (2011)
https://doi.org/10.1103/PhysRevB.83.014411

Critical phenomena on scale-free networks: Logarithmic corrections and scaling functions

V. Palchykov, C. von Ferber, R. Folk, Yu. Holovatch and R. Kenna
Physical Review E 82 (1) (2010)
https://doi.org/10.1103/PhysRevE.82.011145

Finite-time scaling via linear driving

Shurong Gong, Fan Zhong, Xianzhi Huang and Shuangli Fan
New Journal of Physics 12 (4) 043036 (2010)
https://doi.org/10.1088/1367-2630/12/4/043036

Finite-time scaling via linear driving: Application to the two-dimensional Potts model

Xianzhi Huang, Shurong Gong, Fan Zhong and Shuangli Fan
Physical Review E 81 (4) (2010)
https://doi.org/10.1103/PhysRevE.81.041139

Numerical studies of a one-dimensional three-spin spin-glass model with long-range interactions

Derek Larson, Helmut G. Katzgraber, M. A. Moore and A. P. Young
Physical Review B 81 (6) (2010)
https://doi.org/10.1103/PhysRevB.81.064415

Casimir Force between Nanoparticles Immersed in a Crosslinked Polymer Blend

S. El Fassi, M. Benhamou, M. Boughou, et al.
Acta Physica Polonica A 118 (4) 606 (2010)
https://doi.org/10.12693/APhysPolA.118.606

Finite-size effects and signatures of the QCD critical endpoint

L F Palhares, E S Fraga and T Kodama
Journal of Physics G: Nuclear and Particle Physics 37 (9) 094031 (2010)
https://doi.org/10.1088/0954-3899/37/9/094031

Distribution of timescales in the Sherrington–Kirkpatrick model

Alain Billoire
Journal of Statistical Mechanics: Theory and Experiment 2010 (11) P11034 (2010)
https://doi.org/10.1088/1742-5468/2010/11/P11034

Finite-Size Scaling of Classical Long-Ranged Ising Chains and the Criticality of Dissipative Quantum Impurity Models

Stefan Kirchner, Qimiao Si and Kevin Ingersent
Physical Review Letters 102 (16) (2009)
https://doi.org/10.1103/PhysRevLett.102.166405

Predictive power of MCT: numerical testing and finite size scaling for a mean field spin glass

Thomas Sarlat, Alain Billoire, Giulio Biroli and Jean-Philippe Bouchaud
Journal of Statistical Mechanics: Theory and Experiment 2009 (08) P08014 (2009)
https://doi.org/10.1088/1742-5468/2009/08/P08014

Subtlety of determining the critical exponent ν of the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the honeycomb lattice

F-J Jiang and U Gerber
Journal of Statistical Mechanics: Theory and Experiment 2009 (09) P09016 (2009)
https://doi.org/10.1088/1742-5468/2009/09/P09016

Dynamic critical behavior of modelAin films: Zero-mode boundary conditions and expansion near four dimensions

H. W. Diehl and H. Chamati
Physical Review B 79 (10) (2009)
https://doi.org/10.1103/PhysRevB.79.104301

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An investigation of finite size scaling

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