PTASZYNSKI, Krzysztof ; University of Luxembourg > Faculty of Science, Technology and Medicine > Department of Physics and Materials Science > Team Massimiliano ESPOSITO
ESPOSITO, Massimiliano ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
External co-authors :
yes
Language :
English
Title :
Nonanalytic Landau functionals shaping the finite-size scaling of fluctuations and response functions in and out of equilibrium
L. D. Landau, Collected Papers of L.D. Landau, edited by D. Ter Haar (Pergamon, Oxford, 1965).
K. G. Wilson and J. Kogut, The renormalization group and the (Equation presented) expansion, Phys. Rep. 12, 75 (1974) 0370-1573 10.1016/0370-1573(74)90023-4.
C. Aron and C. Chamon, Landau theory for non-equilibrium steady states, SciPost Phys. 8, 074 (2020) 2542-4653 10.21468/SciPostPhys.8.5.074.
H. Touchette, The large deviation approach to statistical mechanics, Phys. Rep. 478, 1 (2009) 0370-1573 10.1016/j.physrep.2009.05.002.
G. Falasco and M. Esposito, Macroscopic stochastic thermodynamics, Rev. Mod. Phys. 97, 015002 (2025) 0034-6861 10.1103/RevModPhys.97.015002.
D. Belitz, T. R. Kirkpatrick, and T. Vojta, How generic scale invariance influences quantum and classical phase transitions, Rev. Mod. Phys. 77, 579 (2005) 0034-6861 10.1103/RevModPhys.77.579.
C. Aron and M. Kulkarni, Nonanalytic nonequilibrium field theory: Stochastic reheating of the Ising model, Phys. Rev. Res. 2, 043390 (2020) 2643-1564 10.1103/PhysRevResearch.2.043390.
R. Mari, E. Bertin, and C. Nardini, Absorbing phase transitions in systems with mediated interactions, Phys. Rev. E 105, L032602 (2022) 2470-0045 10.1103/PhysRevE.105.L032602.
C. Kittel, Phase transition of a molecular zipper, Am. J. Phys. 37, 917 (1969) 0002-9505 10.1119/1.1975930.
A. E. Ferdinand and M. E. Fisher, Bounded and inhomogeneous Ising models. I. Specific-heat anomaly of a finite lattice, Phys. Rev. 185, 832 (1969) 0031-899X 10.1103/PhysRev.185.832.
M. E. Fisher and M. N. Barber, Scaling theory for finite-size effects in the critical region, Phys. Rev. Lett. 28, 1516 (1972) 0031-9007 10.1103/PhysRevLett.28.1516.
R. Botet and R. Jullien, Large-size critical behavior of infinitely coordinated systems, Phys. Rev. B 28, 3955 (1983) 0163-1829 10.1103/PhysRevB.28.3955.
D. P. Landau, Finite-size behavior of the Ising square lattice, Phys. Rev. B 13, 2997 (1976) 0556-2805 10.1103/PhysRevB.13.2997.
K. Binder, Critical properties from monte carlo coarse graining and renormalization, Phys. Rev. Lett. 47, 693 (1981) 0031-9007 10.1103/PhysRevLett.47.693.
D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge, 2021).
H. Touchette, R. J. Harris, and J. Tailleur, First-order phase transitions from poles in asymptotic representations of partition functions, Phys. Rev. E 81, 030101 (R) (2010) 1539-3755 10.1103/PhysRevE.81.030101.
A. Deger, K. Brandner, and C. Flindt, Lee-Yang zeros and large-deviation statistics of a molecular zipper, Phys. Rev. E 97, 012115 (2018) 2470-0045 10.1103/PhysRevE.97.012115.
V. Holubec, P. Chvosta, and P. Maass, Dynamics and energetics for a molecular zipper model under external driving, J. Stat. Mech.: Theory Exp. (2012) P11009 1742-5468 10.1088/1742-5468/2012/11/P11009.
M. Abdullah, S. Khairunnisa, and F. Akbar, Zipper model for the melting of thin films, Eur. J. Phys. 37, 015501 (2016) 0143-0807 10.1088/0143-0807/37/1/015501.
K. Ptaszyński and M. Esposito, Dynamical signatures of discontinuous phase transitions: How phase coexistence determines exponential versus power-law scaling, Phys. Rev. E 110, 044134 (2024) 2470-0045 10.1103/PhysRevE.110.044134.
M. Kochmański, T. Paszkiewicz, and S. Wolski, Curie-Weiss magnet-A simple model of phase transition, Eur. J. Phys. 34, 1555 (2013) 0143-0807 10.1088/0143-0807/34/6/1555.
T. Herpich, T. Cossetto, G. Falasco, and M. Esposito, Stochastic thermodynamics of all-to-all interacting many-body systems, New J. Phys. 22, 063005 (2020) 1367-2630 10.1088/1367-2630/ab882f.
Y. V. Nazarov and Y. M. Blanter, Quantum Transport: Introduction to Nanoscience (Cambridge University Press, New York, 2009).
U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 2012).
K. Ptaszyński and M. Esposito, Critical heat current fluctuations in Curie-Weiss model in and out of equilibrium, Phys. Rev. E 111, 034125 (2025) 2470-0045 10.1103/PhysRevE.111.034125.
R. Landauer, Fluctuations in bistable tunnel diode circuits, J. App. Phys. 33, 2209 (1962) 0021-8979 10.1063/1.1728929.
P. Hänggi and H. Thomas, Stochastic processes: Time evolution, symmetries and linear response, Phys. Rep. 88, 207 (1982) 0370-1573 10.1016/0370-1573(82)90045-X.
M. Vellela and H. Qian, Stochastic dynamics and non-equilibrium thermodynamics of a bistable chemical system: The Schlögl model revisited, J. R. Soc. Interface 6, 925 (2009) 1742-5689 10.1098/rsif.2008.0476.
P. Hänggi and P. Jung, Bistability in active circuits: Application of a novel Fokker-Planck approach, IBM J. Res. Dev. 32, 119 (1988) 0018-8646 10.1147/rd.321.0119.
B. Gaveau, M. Moreau, and J. Toth, Master equation and Fokker-Planck equation: comparison of entropy and of rate constants, Lett. Math. Phys. 40, 101 (1997) 0377-9017 10.1023/A:1007362811930.
A. Gopal, M. Esposito, and N. Freitas, Large deviations theory for noisy nonlinear electronics: CMOS inverter as a case study, Phys. Rev. B 106, 155303 (2022) 2469-9950 10.1103/PhysRevB.106.155303.
K. Binder, Finite size scaling analysis of Ising model block distribution functions, Z. Phys. B 43, 119 (1981) 0340-224X 10.1007/BF01293604.
G. E. Crooks, On the Drazin inverse of the rate matrix (2018), technical note.
G. T. Landi, M. J. Kewming, M. T. Mitchison, and P. P. Potts, Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics, PRX Quantum 5, 020201 (2024) 2691-3399 10.1103/PRXQuantum.5.020201.
T. Aslyamov and M. Esposito, Nonequilibrium response for markov jump processes: Exact results and tight bounds, Phys. Rev. Lett. 132, 037101 (2024) 0031-9007 10.1103/PhysRevLett.132.037101.
T. Aslyamov and M. Esposito, General theory of static response for markov jump processes, Phys. Rev. Lett. 133, 107103 (2024) 0031-9007 10.1103/PhysRevLett.133.107103.
K. Ptaszyński and M. Esposito, Nonanalytic Landau functionals shaping the finite-size scaling of fluctuations and response functions in and out of equilibrium (2025), Zenodo, doi: 10.5281/zenodo.14826140.