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Chin. Phys. B, 2025, Vol. 34(2): 026101    DOI: 10.1088/1674-1056/ad94e3
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Stokes-Einstein-Debye relation in TIP5P water

Gan Ren(任淦)†
School of Science, Civil Aviation Flight University of China, Guanghan 628307, China
Abstract  The Stokes-Einstein-Debye (SED) relation in TIP5P water is tested with the original formula and its variants within the temperature range 240-390 K. The results indicate that although the variants explicitly break down, the original SED relation is almost valid. Compared with the Stokes-Einstein relation, no explicit decoupling is observed in translational and rotational motion. Variation of the effective hydrodynamic radius is critical to testing the validity of the SED relation.
Keywords:  Stokes-Einstein-Debye relation      TIP5P water      effective hydrodynamic radius      Stokes' formula  
Received:  18 September 2024      Revised:  17 November 2024      Accepted manuscript online:  20 November 2024
PACS:  61.20.Ja (Computer simulation of liquid structure)  
  61.20.Gy (Theory and models of liquid structure)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12104502), the Natural Science Foundation of Sichuan Province (Grant No. 2023YFG0308), and the Fundamental Research Funds for the Central Universities (Grant No. 24CAFUC03057).
Corresponding Authors:  Gan Ren     E-mail:  rengan@alumni.itp.ac.cn

Cite this article: 

Gan Ren(任淦) Stokes-Einstein-Debye relation in TIP5P water 2025 Chin. Phys. B 34 026101

[1] Debye P 1929 Polar Molecules (New York: The Chemical Catalog Company))
[2] Kawasaki T and Kim K 2019 Scientific Reports 9 8118
[3] Kawasaki T and Kim K 2019 Journal of Statistical Mechanics: Theory and Experiment 2019 084004
[4] Mazza M G, Giovambattista N, Stanley H E and Starr F W 2007 Phys. Rev. E 76 031203
[5] Kivelson D and Kivelson S A 1989 J. Chem. Phys. 90 4464
[6] Netz P A, Buldyrev S V, BarbosaMC and Stanley H E 2006 Phys. Rev. E 73 061504
[7] Lombardo T G, Debenedetti P G and Stillinger F H 2006 J. Chem. Phys. 125
[8] Dehaoui A, Issenmann B and Caupin F 2015 Proc. Natl. Acad. Sci. USA 112 12020
[9] Fujara F, Geil B, Sillescu H and Fleischer G 1992 Zeitschrift für Physik B Condensed Matter 88 195
[10] Stanley H E, Barbosa M C, Mossa S, Netz P A, Sciortino F, Starr F W and Yamada M 2002 Physica A 315 281
[11] Netz P A, Starr F W, Barbosa M C and Stanley H E 2002 Physica A 314 470
[12] Netz P A, Starr F, Barbosa M C and Stanley H E 2002 J. Mol. Liq. 101 159
[13] Shi R, Russo J and Tanaka H 2018 Proc. Natl. Acad. Sci. USA 115 9444
[14] Debenedetti P G 2003 J. Phys.: Condens. Matter 15 R1669
[15] Shi R, Russo J and Tanaka H 2018 J. Chem. Phys. 149 224502
[16] Cicerone M T and Ediger M D 1996 J. Chem. Phys. 104 7210
[17] Kivelson D and Miles D 1988 J. Chem. Phys. 88 1925
[18] Diezemann G, Sillescu H, Hinze G and Böhmer R 1998 Phys. Rev. E 57 4398
[19] De Michele C and Leporini D 2001 Phys. Rev. E 63 036702
[20] Becker S R, Poole P H and Starr F W 2006 Phys. Rev. Lett. 97 055901
[21] Rössler E 1990 Phys. Rev. Lett. 65 1595
[22] Thirumalai D and Mountain R D 1993 Phys. Rev. E 47 479
[23] Lee S H and Rasaiah J C 1994 J. Chem. Phys. 101 6964
[24] Lee S H and Rasaiah J C 1996 The Journal of Physical Chemistry 100 1420
[25] Ren G, Chen L and Wang Y 2018 Phys. Chem. Chem. Phys. 20 21313
[26] Hubbard J and Onsager L 1977 J. Chem. Phys. 67 4850
[27] Varela L M, García M and Mosquera V C 2003 Phys. Rep. 382 1
[28] Ren G and Wang Y 2021 Phys. Chem. Chem. Phys. 23 24541
[29] Mahoney M W and Jorgensen W L 2000 J. Chem. Phys. 112 8910
[30] Berendsen H J C, van der Spoel D and van Drunen R 1995 Comput. Phys. Commun. 91 43
[31] Van Der Spoel D, Lindahl E, Hess B, Groenhof G, Mark A E and Berendsen H J 2005 J. Comput. Chem. 26 1701
[32] Essmann U, Perera L, Berkowitz M L, Darden T, Lee H and Pedersen L G 1995 J. Chem. Phys. 103 8577
[33] Nosé S 1984 J. Chem. Phys. 81 511
[34] Hoover W G 1985 Phys. Rev. A 31 1695
[35] Mazza M G, Giovambattista N, Starr F W and Stanley H E 2006 Phys. Rev. Lett. 96 057803
[36] Shi R and Wang Y 2013 J. Phys. Chem. B 117 5102
[37] Kämerer S, Kob W and Schilling R 1997 Phys. Rev. E 56 5450
[38] Mishra C K and Ganapathy R 2015 Phys. Rev. Lett. 114 198302
[1] Fractional Stokes-Einstein relation in TIP5P water at high temperatures
Gan Ren(任淦), Ge Sang(桑革). Chin. Phys. B, 2018, 27(6): 066101.
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