- Access by Xinjiang University
Fluctuation-dissipation ratios in the dynamics of self-assembly
Phys. Rev. E 76, 021119 – Published 22 August, 2007
DOI: https://doi.org/10.1103/PhysRevE.76.021119
Abstract
We consider two seemingly very different self-assembly processes: formation of viral capsids and crystallization of sticky disks. At low temperatures, assembly is ineffective, since there are many metastable disordered states, which are a source of kinetic frustration. We use fluctuation-dissipation ratios to extract information about the degree of this frustration. We show that our analysis is a useful indicator of the long-term fate of the system, based on the early stages of assembly.
Article Text
References (29)
- T. D. Pollard and G. G. Borisy, Cell 112, 453 (2003); J. B. Moseley and B. L. Goode, Microbiol. Mol. Biol. Rev. 70, 605 (2006).
- S. Inoue and E. D. Salmon, Mol. Biol. Cell 6, 1619 (1995); A. Desai and T. J. Mitchison, Annu. Rev. Cell Dev. Biol. 13, 83 (1997).
- B. Antonny, P. Gounon, R. Schekman, and L. Orci, EMBO Rep. 4, 419 (2003); K. Matsuoka, R. Schekman, L. Orci, and J. E. Heuser, Proc. Natl. Acad. Sci. U.S.A. 98, 13705 (2001); S. C. Harrison and T. Kirchhausen, Cell 33, 650 (1983).
- H. Fraenkel-Conrat and R. C. Williams, Proc. Natl. Acad. Sci. U.S.A. 41, 690 (1955); A. Klug, Philos. Trans. R. Soc. London, Ser. B 354, 531 (1999); A. Zlotnick et al., Virology 277, 450 (2000); J. Sun et al., Proc. Natl. Acad. Sci. U.S.A. 104, 1354 (2007).
- A. Zlotnick, J. Mol. Biol. 241, 59 (1994); B. Berger et al., Proc. Natl. Acad. Sci. U.S.A. 91, 7732 (1994); T. Chen, Z. Zhang, and S. C. Glotzer, ibid. 194, 717 (2007); H. D. Nguyen, V. S. Reddy, and C. L. Brooks III, Nano Lett. 7, 338 (2007).
- S. C. Glotzer, Science 306, 419 (2004); G. M. Whitesides and B. Grzybowski, ibid. 295, 2418 (2002); T. Douglas and M. Young, ibid. 312, 873 (2006).
- C. Valery et al., Proc. Natl. Acad. Sci. U.S.A. 100, 10258 (2003); H. Yan et al., Science 301, 1882 (2003); E. Strable et al., Nano Lett. 4, 1385 (2004); A. S. Blum et al., ibid. 4, 867 (2004); S. H. Park et al., ibid. 5, 729 (2005); S. K. Dixit et al., ibid. 6, 1993 (2006); P. O’Neill et al., ibid. 6, 1379 (2006).
- See, for example, F. H. C. Crick and J. D. Watson, Nature (London) 177, 473 (1956); D. L. Caspar and A. Klug, Cold Spring Harbor Symp. Quant. Biol. 27, 1 (1962); R. Zandi et al., Proc. Natl. Acad. Sci. U.S.A. 101, 15556 (2004).
- M. Hagan and D. Chandler, Biophys. J. 91, 42 (2006).
- A. Louis et al., e-print arXiv:cond-mat/0606634.
- See, for example, L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993); J. Phys. A 27, 5749 (1994); J. Kurchan and L. Laloux, ibid. 29, 1929 (1996); S. Franz, M. Mezard, G. Parisi, and L. Peliti, Phys. Rev. Lett. 81, 1758 (1998); A. Crisanti and F. Ritort, J. Phys. A 36, R181 (2003); J. Kurchan, Nature (London) 433, 222 (2005).
- R. L. Jack, L. Berthier, and J. P. Garrahan, J. Stat. Mech.: Theory Exp. (2006) P12005.
- S. Fielding and P. Sollich, Phys. Rev. Lett. 88, 050603 (2002); P. Mayer, L. Berthier, J. P. Garrahan, and P. Sollich, Phys. Rev. E 68, 016116 (2003); ibid. 70, 018102 (2004).
- P. Mayer, S. Leonard, L. Berthier, J. P. Garrahan, and P. Sollich, Phys. Rev. Lett. 96, 030602 (2006); S. Leonard, P. Mayer, P. Sollich, L. Berthier, J. P. Garrahan, e-print arXiv:cond-mat/0703164.
- S. Whitelam and P Geissler, e-print arXiv:cond-mat/0508100.
- R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58, 86 (1987).
- P. Meakin, Phys. Rev. Lett. 51, 1119 (1983); M. Kolb, R. Botet, and R. Jullien, ibid. 51, 1123 (1983).
- D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, New York, 1987).
- L. Berthier, Phys. Rev. Lett. 98, 220601 (2007).
- C. Chatelain, J. Stat. Mech.: Theory Exp. (2004) P06006.
- Defining analogous quantities to the FDR, such as the ratio of derivatives of correlation and response with respect to the final time , is also possible. However, the FDR is the most physical and informative quantity. See, for example, Ref. [14], and Fig. 2 of P. Mayer and P. Sollich, J. Phys. A 37, 9 (2004).
- G. M. Whitesides and M. Boncheva, Proc. Natl. Acad. Sci. U.S.A. 99, 4769 (2002).
- A. Sali, E. I. Shakhnovich, and M. Karplus, Nature (London) 369, 248 (1994); J. D. Bryngelson, J. N. Onuchic, N. D. Socci, and P. G. Wolynes, Proteins 21, 167 (1995); A. Zlotnick, J. Mol. Recognit. 18, 479 (2005).
- H. Jonsson and H. C. Andersen, Phys. Rev. Lett. 60, 2295 (1988); J. P. K. Doye, M. A. Miller, and D. J. Wales, J. Chem. Phys. 110, 6896 (1999).
- P. Wang, C. Song, and H. A. Makse, Nat. Phys. 2, 526 (2006).
- W. Y. Yang et al., J. Mol. Biol. 336, 241 (2004).
- B. Onoa et al., Science 299, 1892 (2003).
- J. Liphardt et al., Science 296, 1832 (2002).
- C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997); G. E. Crooks, Phys. Rev. E 61, 2361 (2000); F. Ritort, in Seminaire Poincaré 2003, edited by J. Daibard, B. Duplantier, and V. Rivasseau (Birkhauser, Basel, 2004).