Meibohm, Jan Nicolas ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Esposito, Massimiliano ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
External co-authors :
no
Language :
English
Title :
Finite-Time Dynamical Phase Transition in Nonequilibrium Relaxation
L. Onsager, Phys. Rev. 37, 405 (1931). PHRVAO 0031-899X 10.1103/PhysRev.37.405
L. Onsager, Phys. Rev. 38, 2265 (1931). PHRVAO 0031-899X 10.1103/PhysRev.38.2265
R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957). JUPSAU 0031-9015 10.1143/JPSJ.12.570
R. Kubo, M. Yokota, and S. Nakajima, J. Phys. Soc. Jpn. 12, 1203 (1957). JUPSAU 0031-9015 10.1143/JPSJ.12.1203
R. Chetrite, Phys. Rev. E 80, 051107 (2009). PRESCM 1539-3755 10.1103/PhysRevE.80.051107
G. Falasco and M. Baiesi, New J. Phys. 18, 043039 (2016). NJOPFM 1367-2630 10.1088/1367-2630/18/4/043039
M. Baiesi and C. Maes, New J. Phys. 15, 013004 (2013). NJOPFM 1367-2630 10.1088/1367-2630/15/1/013004
I. M. Lifshitz, Sov. Phys. JETP 15, 939 (1962). SPHJAR 0038-5646
R. G. Palmer, D. L. Stein, E. Abrahams, and P. W. Anderson, Phys. Rev. Lett. 53, 958 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.53.958
L. F. Cugliandolo, in Slow Relaxations Nonequilibrium Dyn. Condens. Matter (Springer, New York, 2003), pp. 367-521.
E. R. Weeks and D. A. Weitz, Phys. Rev. Lett. 89, 095704 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.095704
P. Wang, C. Song, and H. A. Makse, Nat. Phys. 2, 526 (2006). NPAHAX 1745-2473 10.1038/nphys366
A. Farhan, P. M. Derlet, A. Kleibert, A. Balan, R. V. Chopdekar, M. Wyss, J. Perron, A. Scholl, F. Nolting, and L. J. Heyderman, Phys. Rev. Lett. 111, 057204 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.057204
A. J. Bray, Adv. Phys. 51, 481 (2002). ADPHAH 0001-8732 10.1080/00018730110117433
L. Berthier and G. Biroli, Rev. Mod. Phys. 83, 587 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.587
H. B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd ed. (John Wiley & Sons, New York, 1985).
P. M. Chaikin, T. C. Lubensky, and T. A. Witten, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, England, 1995), Vol. 10.
N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (CRC Press, Boca Raton, 1992).
M. I. Freidlin and A. D. Wentzell, Random Perturbations of Dynamical Systems (Springer, New York, USA, 1984).
R. Graham and T. Tél, Phys. Rev. Lett. 52, 9 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.52.9
R. S. Ellis, Entropy, Large Deviations, and Statistical Mechanics (Springer, New York, 2007).
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, and C. Landim, Rev. Mod. Phys. 87, 593 (2015). RMPHAT 0034-6861 10.1103/RevModPhys.87.593
L. Peliti and S. Pigolotti, Stochastic Thermodynamics: An Introduction (Princeton University Press, Princeton, NJ, 2021).
B. Derrida, J. Phys. A 20, L721 (1987). JPHAC5 0305-4470 10.1088/0305-4470/20/11/009
H. Ge and H. Qian, J. R. Soc. Interface 8, 107 (2011). 1742-5689 10.1098/rsif.2010.0202
T. Tomé and M. J. de Oliveira, Phys. Rev. Lett. 108, 020601 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.020601
T. Herpich, J. Thingna, and M. Esposito, Phys. Rev. X 8, 031056 (2018). PRXHAE 2160-3308 10.1103/PhysRevX.8.031056
H. Vroylandt, M. Esposito, and G. Verley, Phys. Rev. Lett. 124, 250603 (2020). PRLTAO 0031-9007 10.1103/PhysRevLett.124.250603
T. Martynec, S. H. L. Klapp, and S. A. M. Loos, New J. Phys. 22, 093069 (2020). NJOPFM 1367-2630 10.1088/1367-2630/abb5f0
J. Mehl, T. Speck, and U. Seifert, Phys. Rev. E 78, 011123 (2008). PRESCM 1539-3755 10.1103/PhysRevE.78.011123
D. Lacoste, A. W. C. Lau, and K. Mallick, Phys. Rev. E 78, 011915 (2008). PRESCM 1539-3755 10.1103/PhysRevE.78.011915
R. L. Jack and P. Sollich, Prog. Theor. Phys. Suppl. 184, 304 (2010). PTPSEP 0375-9687 10.1143/PTPS.184.304
P. T. Nyawo and H. Touchette, Europhys. Lett. 116, 50009 (2016). EULEEJ 0295-5075 10.1209/0295-5075/116/50009
T. Nemoto, É. Fodor, M. E. Cates, R. L. Jack, and J. Tailleur, Phys. Rev. E 99, 022605 (2019). PRESCM 2470-0045 10.1103/PhysRevE.99.022605
A. Lazarescu, T. Cossetto, G. Falasco, and M. Esposito, J. Chem. Phys. 151, 064117 (2019). JCPSA6 0021-9606 10.1063/1.5111110
M. Sune and A. Imparato, Phys. Rev. Lett. 123, 070601 (2019). PRLTAO 0031-9007 10.1103/PhysRevLett.123.070601
T. Herpich, T. Cossetto, G. Falasco, and M. Esposito, New J. Phys. 22, 063005 (2020). NJOPFM 1367-2630 10.1088/1367-2630/ab882f
J. P. Garrahan, R. L. Jack, V. Lecomte, E. Pitard, K. van Duijvendijk, and F. van Wijland, Phys. Rev. Lett. 98, 195702 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.195702
P. T. Nyawo and H. Touchette, Phys. Rev. E 98, 052103 (2018). PRESCM 2470-0045 10.1103/PhysRevE.98.052103
R. L. Jack, Eur. Phys. J. B 93, 74 (2020). EPJBFY 1434-6028 10.1140/epjb/e2020-100605-3
K. Proesmans, R. Toral, and C. den Broeck, Physica (Amsterdam) A552, 121934 (2020). PHYADX 0378-4371 10.1016/j.physa.2019.121934
Y.-E. Keta, É. Fodor, F. van Wijland, M. E. Cates, and R. L. Jack, Phys. Rev. E 103, 022603 (2021). PRESCM 2470-0045 10.1103/PhysRevE.103.022603
M. Heyl, A. Polkovnikov, and S. Kehrein, Phys. Rev. Lett. 110, 135704 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.135704
A. van Enter, R. Fernández, F. den Hollander, and F. Redig, Commun. Math. Phys. 226, 101 (2002). CMPHAY 0010-3616 10.1007/s002200200605
C. Külske and A. Le Ny, Commun. Math. Phys. 271, 431 (2007). CMPHAY 0010-3616 10.1007/s00220-007-0201-y
A. C. D. van Enter, R. Fernández, F. Den Hollander, and F. Redig, Moscow Math. J. 10, 687 (2010). 1609-3321 10.17323/1609-4514-2010-10-4-687-711
V. Ermolaev and C. Külske, J. Stat. Phys. 141, 727 (2010). JSTPBS 0022-4715 10.1007/s10955-010-0074-x
F. Redig and F. Wang, J. Stat. Phys. 147, 1094 (2012). JSTPBS 0022-4715 10.1007/s10955-012-0523-9
R. Fernández, F. den Hollander, and J. Martínez, Commun. Math. Phys. 319, 703 (2013). CMPHAY 0010-3616 10.1007/s00220-012-1646-1
N. Van Kampen, in Stochastic Processes Physics and Chemistry (Elsevier, New York, 2007).
H. Touchette, Phys. Rep. 478, 1 (2009). PRPLCM 0370-1573 10.1016/j.physrep.2009.05.002
L. D. Landau, Zh. Eksp. Teor. Fiz. 11, 19 (1937). ZETFA7 0044-4510
M. I. Dykman, E. Mori, J. Ross, and P. M. Hunt, J. Chem. Phys. 100, 5735 (1994). JCPSA6 0021-9606 10.1063/1.467139
A. Imparato and L. Peliti, Phys. Rev. E 72, 046114 (2005). PRESCM 1539-3755 10.1103/PhysRevE.72.046114
J. Feng and T. G. Kurtz, Large Deviations for Stochastic Processes (American Mathematical Soc., Providence, 2006), 131.
See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.128.110603 for additional details on mathematical derivations and our numerical method, as well as on the generality and robustness of our results, which includes Refs. [59-63].
V. A. Kulkarny and B. S. White, Phys. Fluids 25, 1770 (1982). PFLDAS 0031-9171 10.1063/1.863654
M. Wilkinson and B. Mehlig, Europhys. Lett. 71, 186 (2005). EULEEJ 0295-5075 10.1209/epl/i2004-10532-7
J. Meibohm, K. Gustavsson, J. Bec, and B. Mehlig, New J. Phys. 22, 013033 (2020). NJOPFM 1367-2630 10.1088/1367-2630/ab60f7
M. V. Berry and C. Upstill, Prog. Opt. 18, 257 (1980). POPTAN 0079-6638 10.1016/S0079-6638(08)70215-4
C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, USA, 1978).
R. Courant and D. Hilbert, Methods of Mathematical Physics, Volume II (John Wiley & Sons, New York, 1962).
H. Goldstein, Classical Mechanics, 2nd ed. (Addison-Wesley, Reading, USA, 1980).
W. H. Press, W. T. Vetterling, S. A. Teukolsky, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, England, 1986), Vol. 818.
S. Ciliberto, Phys. Rev. X 7, 021051 (2017). PRXHAE 2160-3308 10.1103/PhysRevX.7.021051
A. Kumar and J. Bechhoefer, Nature (London) 584, 64 (2020). NATUAS 0028-0836 10.1038/s41586-020-2560-x
D. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge, England, 2014).
U. C. Täuber, Critical Dynamics: A Field Theory Approach to Equilibrium and Non-Equilibrium Scaling Behavior (Cambridge University Press, Cambridge, England, 2014).