Critical dynamics as a field theory
N. V. Antonov, A. N. Vasil'ev

This publication is cited in the following articles:

1. Chandrodoy Chattopadhyay, Josh Ott, Thomas Schäfer, Vladimir V. Skokov, “Critical fluid dynamics in two and three dimensions”, Phys. Rev. D, 111:3 (2025)  
2. Claudio Bonati, Andrea Pelissetto, Ettore Vicari, “Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with Z2 gauge symmetry”, Phys. Rev. B, 111:11 (2025)  
3. Yang-yang Tan, Yong-rui Chen, Wei-jie Fu, Wei-Jia Li, “Universality of pseudo-Goldstone damping near critical points”, Nat Commun, 16:1 (2025)  
4. Claudio Bonati, Haralambos Panagopoulos, Ettore Vicari, “Critical dynamics of three-dimensional ZN gauge models and the inverted XY universality class”, Phys. Rev. E, 112:2 (2025)  
5. Yong-rui Chen, Yang-yang Tan, Wei-jie Fu, “Critical dynamics within the real-time FRG approach”, Phys. Rev. D, 109:9 (2024)  
6. Haralambos Panagopoulos, Ettore Vicari, “Out-of-equilibrium scaling of the energy density along the critical relaxational flow after a quench of the temperature”, Phys. Rev. E, 109:6 (2024)  
7. Loran Ts. Adzhemyan, Daniil A. Evdokimov, Mikhail V. Kompaniets, “Hyperlogarithms in the theory of turbulence of infinite dimension”, Nuclear Physics B, 1008 (2024), 116716  
8. Yu. G. Molotkov, Mikhail Nalimov, Juha Honkonen, Marina Komarova, Alexander Trenogin, Springer Proceedings in Complexity, 15th Chaotic Modeling and Simulation International Conference, 2023, 199  
9. Ella Ivanova, Georgii Kalagov, Marina Komarova, Mikhail Nalimov, “Quantum-Field Multiloop Calculations in Critical Dynamics”, Symmetry, 15:5 (2023), 1026  
10. Adzhemyan L.Ts., Evdokimov D.A., Hnatic M., Ivanova V E., Kompaniets V M., Kudlis A., Zakharov V D., “The Dynamic Critical Exponent Z For 2D and 3D Ising Models From Five-Loop E Expansion”, Phys. Lett. A, 425 (2022), 127870    
11. J. Honkonen, M. Komarova, Yu. Molotkov, M. Nalimov, A. Trenogin, “Critical dynamics of the superfluid phase transition: Multiloop calculation of the microscopic model”, Phys. Rev. E, 106:1 (2022)  
12. L.Ts. Adzhemyan, D.A. Evdokimov, M. Hnatič, E.V. Ivanova, M.V. Kompaniets, A. Kudlis, D.V. Zakharov, “Model A of critical dynamics: 5-loop ɛ expansion study”, Physica A: Statistical Mechanics and its Applications, 600 (2022), 127530  
13. Thomas Schäfer, Vladimir Skokov, “Dynamics of non-Gaussian fluctuations in model A”, Phys. Rev. D, 106:1 (2022)  
14. V. V. Men'shenin, “Sound Propagation Near the Phase Transition to a Magnetically Ordered Phase in Media with Tetragonal Structure”, J. Exp. Theor. Phys., 133:1 (2021), 77  
15. Hasenbusch M., “Dynamic Critical Exponent Z of the Three-Dimensional Ising Universality Class: Monte Carlo Simulations of the Improved Blume-Capel Model”, Phys. Rev. E, 101:2 (2020), 022126    
16. Yu. A. Zhavoronkov, M. V. Komarova, Yu. G. Molotkov, M. Yu. Nalimov, J. Honkonen, “Critical dynamics of the phase transition to the superfluid state”, Theoret. and Math. Phys., 200:2 (2019), 1237–1251              
17. A. Astillero, J. J. Ruiz-Lorenzo, “Computation of the dynamic critical exponent of the three-dimensional Heisenberg model”, Phys. Rev. E, 100:6 (2019)  
18. Adzhemyan L.Ts. Ivanova E.V. Kompaniets M.V. Vorobyeva S.Y., “Diagram Reduction in Problem of Critical Dynamics of Ferromagnets: 4-Loop Approximation”, J. Phys. A-Math. Theor., 51:15 (2018), 155003    
19. L. Ts. Adzhemyan, S. E. Vorob'eva, E. V. Ivanova, M. V. Kompaniets, “Representation of renormalization group functions by nonsingular integrals in a model of the critical dynamics of ferromagnets: The fourth order of the $\varepsilon$-expansion”, Theoret. and Math. Phys., 195:1 (2018), 584–594              
20. Hnatic M. Kalagov G. Lucivjansky T., “Scaling Behavior in Interacting Systems: Joint Effect of Anisotropy and Compressibility”, Eur. Phys. J. B, 91:11 (2018), 269      
21. Andrea Pelissetto, Ettore Vicari, “Off-equilibrium scaling behaviors driven by time-dependent external fields in three-dimensionalO(N)vector models”, Phys. Rev. E, 93:3 (2016)  
22. L. Ts. Adzhemyan, S. E. Vorobyeva, M. V. Kompaniets, “Representation of the $\beta$-function and anomalous dimensions by nonsingular integrals in models of critical dynamics”, Theoret. and Math. Phys., 185:1 (2015), 1361–1369              
23. L. M. Sieberer, S. D. Huber, E. Altman, S. Diehl, “Nonequilibrium functional renormalization for driven-dissipative Bose-Einstein condensation”, Phys. Rev. B, 89:13 (2014)  
24. Lev Batalov, Anastasia Batalova, “Critical dynamics in systems controlled by fractional kinetic equations”, Physica A: Statistical Mechanics and its Applications, 392:4 (2013), 602  
25. L. Ts. Adzhemyan, M. V. Kompaniets, “Renormalization group and the $\varepsilon$-expansion: Representation of the $\beta$-function and anomalous dimensions by nonsingular integrals”, Theoret. and Math. Phys., 169:1 (2011), 1450–1459            
26. Shurong Gong, Fan Zhong, Xianzhi Huang, Shuangli Fan, “Finite-time scaling via linear driving”, New J. Phys., 12:4 (2010), 043036  
27. N V Antonov, V I Iglovikov, A S Kapustin, “Effects of turbulent mixing on the nonequilibrium critical behaviour”, J. Phys. A: Math. Theor., 42:13 (2009), 135001  
28. Prudnikov, VV, “Renormalization-group description of nonequilibrium critical short-time relaxation processes: A three-loop approximation”, Journal of Experimental and Theoretical Physics, 106:6 (2008), 1095      
29. Fan, SL, “Determination of the dynamic and static critical exponents of the two-dimensional three-state Potts model using linearly varying temperature”, Physical Review E, 76:4 (2007), 041141      
30. A. S. Krinitsyn, V. V. Prudnikov, P. V. Prudnikov, “Calculations of the dynamical critical exponent using the asymptotic series summation method”, Theoret. and Math. Phys., 147:1 (2006), 561–575                
31. Folk, R, “Critical dynamics: a field-theoretical approach”, Journal of Physics A-Mathematical and General, 39:24 (2006), R207    
32. N V Antonov, Michal Hnatich, Juha Honkonen, “Effects of mixing and stirring on the critical behaviour”, J. Phys. A: Math. Gen., 39:25 (2006), 7867  
33. Fan Zhong, “Probing criticality with linearly varying external fields: Renormalization group theory of nonequilibrium critical dynamics under driving”, Phys. Rev. E, 73:4 (2006)  
34. N V Antonov, A A Ignatieva, “Critical behaviour of a fluid in a random shear flow: renormalization group analysis of a simplified model”, J. Phys. A: Math. Gen., 39:44 (2006), 13593  
35. Pasquale Calabrese, Andrea Gambassi, “Ageing properties of critical systems”, J. Phys. A: Math. Gen., 38:18 (2005), R133  
36. R. Folk, G. Moser, “Critical dynamics of stochastic models with energy conservation (modelC)”, Phys. Rev. E, 69:3 (2004)  
37. Pasquale Calabrese, Andrea Gambassi, “On the definition of a unique effective temperature for non-equilibrium critical systems”, J. Stat. Mech.: Theor. Exp., 2004:07 (2004), P07013  
38. Pasquale Calabrese, Victor Martín-Mayor, Andrea Pelissetto, Ettore Vicari, “Dynamic structure factor of the three-dimensional Ising model with purely relaxational dynamics”, Phys. Rev. E, 68:1 (2003)  
39. Antonov, NV, “Field-theoretic renormalization group for a nonlinear diffusion equation”, Physical Review E, 66:4 (2002), 046105    
40. H K Janssen, K Oerding, E Sengespeick, “On the crossover to universal criticality in dilute Ising systems”, J. Phys. A: Math. Gen., 28:21 (1995), 6073  
41. K Oerding, “The dynamic critical exponent of dilute and pure Ising systems”, J. Phys. A: Math. Gen., 28:24 (1995), L639  
42. L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich, Yu. M. Pis'mak, “Quantum field renormalization group in the theory of stochastic Langmuir turbulence”, Theoret. and Math. Phys., 78:3 (1989), 260–271