Forastiere, Danilo ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Adeleke-Larodo, Tunrayo
Proesmans, Karel
External co-authors :
yes
Language :
English
Title :
Relaxation-speed crossover in anharmonic potentials
Publication date :
2021
Journal title :
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
ISSN :
1550-2376
Publisher :
American Physical Society, College Park, United States - Maryland
Issue :
104
Pages :
L032105
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Physics and Materials Science
European Projects :
H2020 - 681456 - NanoThermo - Energy Conversion and Information Processing at Small Scales
Name of the research project :
ERC- 2015-CoG Agreement No. 681456, FQXi-IAF19-05
Funders :
CER - Conseil Européen de la Recherche [BE] FQXi CE - Commission Européenne [BE]
A. J. Bray, Adv. Phys. 51, (2002) ADPHAH 10.1080/00018730110117433.
E. B. Mpemba D. G. Osborne, Phys. Educ. 4, (1969) PHEDA7 10.1088/0031-9120/4/3/312.
Z. Lu O. Raz, Proc. Natl. Acad. Sci. USA 114, (2017) PNASA6 10.1073/pnas.1701264114.
I. Klich O. Raz O. Hirschberg M. Vucelja, Phys. Rev. X 9, (2019) 10.1103/PhysRevX.9.021060.
M. Walker M. Vucelja, arXiv:2105.10656.
R. Chétrite A. Kumar J. Bechhoefer, Front. Phys. 9, (2021).
A. Kumar J. Bechhoefer, Nature (London) 584, (2020) NATUAS 10.1038/s41586-020-2560-x.
A. Kumar R. Chetrite J. Bechhoefer, arXiv:2104.12899.
A. Gal O. Raz, Phys. Rev. Lett. 124, (2020) PRLTAO 10.1103/PhysRevLett.124.060602.
A. Prados, Phys. Rev. Research 3, (2021) 10.1103/PhysRevResearch.3.023128.
F. Carollo A. Lasanta I. Lesanovsky, Phys. Rev. Lett. 127, (2021) 10.1103/PhysRevLett.127.060401.
N. Shiraishi K. Saito, Phys. Rev. Lett. 123, (2019) PRLTAO 10.1103/PhysRevLett.123.110603.
A. Lapolla A. Godec, Phys. Rev. Lett. 125, (2020) PRLTAO 10.1103/PhysRevLett.125.110602.
S. K. Manikandan, arXiv:2102.06161.
T. Van Vu Y. Hasegawa, arXiv:2102.07429.
See Supplemental Material at for additional details on mathematical derivations and our numerical method, as well as the connection with the Markovian Mpemba effect, which includes Refs..
H. Risken, in The Fokker-Planck Equation (Springer, 1996), pp..
NIST Digital Library of Mathematical Functions,, Release 1.1.2 of 2021-06-15, edited by F. W. J. Olver A. B. Olde Daalhuis D. W. Lozier B. I. Schneider R. F. Boisvert C. W. Clark B. R. Miller B. V. Saunders H. S. Cohl M. A. McClain.
N. G. Van Kampen, Stochastic Processes in Physics and Chemistry, Vol. 1 (Elsevier, 1992).
P. E. Kloeden E. Platen, Numerical Solution of Stochastic Differential Equations (Springer, 1992).
S. Ciliberto, Phys. Rev. X 7, (2017) 10.1103/PhysRevX.7.021051.
In Sec. V of, we trace back the long-time relaxation asymmetry in harmonic potentials to the convexity of the inverse of the temperature measure.
V. V. Palyulin R. Metzler, J. Stat. Mech.: Theory Exp. (2012) 10.1088/1742-5468/2012/03/L03001.
M. Chupeau J. Gladrow A. Chepelianskii U. F. Keyser E. Trizac, Proc. Natl. Acad. Sci. USA 117, (2020) PNASA6 10.1073/pnas.1910677116.
U. M. Titulaer, Physica A 91, (1978) PHYADX 10.1016/0378-4371(78)90182-6.
S. Furuichi K. Yanagi K. Kuriyama, J. Math. Phys. 45, (2004) JMAPAQ 10.1063/1.1805729.
I. J. Taneja, Journal of Inequalities in Pure and Applied Mathematics 5, (2004).
J. Huang W.-A. Yong L. Hong, J. Math. Anal. Appl. 436, (2016) JMANAK 10.1016/j.jmaa.2015.12.008.
