| INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
Prev
Next
|
|
|
Effect of a force-free end on the mechanical property of a biopolymer–A path integral approach |
| Zicong Zhou(周子聪)1, Béla Joós2 |
1 Department of Physics, Tamkang University, Taiwan, China;
2 Ottawa Carleton Institute for Physics, University of Ottawa Campus, Ottawa, Ontario, Canada, K1 N-6 N5 |
|
|
|
|
Abstract We study the effect of a force-free end on the mechanical property of a stretched biopolymer. The system can be divided into two parts. The first part consists of the segment counted from the fixed point (i.e., the origin) to the forced point in the biopolymer, with arclength Lf. The second part consists of the segment counted from the forced point to the force-free end with arclength ΔL. We apply the path integral technique to find the relationship between these two parts. At finite temperature and without any constraint at the end, we show exactly that if we focus on the quantities related to the first part, then we can ignore the second part completely. Monte Carlo simulation confirms this conclusion. In contrast, the effect for the quantities related to the second part is dependent on what we want to observe. A force-free end has little effect on the relative extension, but it affects seriously the value of the end-to-end distance if ΔL is comparable to Lf.
|
Received: 10 November 2015
Revised: 30 March 2016
Accepted manuscript online:
|
|
PACS:
|
87.10.Pq
|
(Elasticity theory)
|
| |
36.20.Ey
|
(Conformation (statistics and dynamics))
|
| |
87.15.A-
|
(Theory, modeling, and computer simulation)
|
| |
87.10.-e
|
(General theory and mathematical aspects)
|
|
| Fund: Project supported by the MOST and the NSERC (Canada). |
Corresponding Authors:
Zicong Zhou
E-mail: zzhou@mail.tku.edu.tw
|
Cite this article:
Zicong Zhou(周子聪), Béla Joós Effect of a force-free end on the mechanical property of a biopolymer–A path integral approach 2016 Chin. Phys. B 25 088701
|
| [1] |
Kratky O and Porod G 1949 Recl. Trav. Chim. Pays-Bas 68 1106
|
| [2] |
Smith S B, Finzi L and Bustamante C 1992 Science 258 1122
|
| [3] |
Hernandez L I, Ramnarain S P, Huff E J and Wang Y K 1993 Science 262 110
|
| [4] |
Marko J F and Siggia E D 1994 Science 265 506
|
| [5] |
Bustamante C, Marko J F, Siggia E D and Smith S 1994 Science 265 1599
|
| [6] |
Cluzel P, Lebrun A, Heller C, Lavery R, Viovy J L, Chatenay D and Caron F 1996 Science 271 792
|
| [7] |
Strick T R, Allemand J F, Bensimon D, Bensimon A and Croquette V 1996 Science 271 1835
|
| [8] |
Fain B, Rudnick J and Östlund S 1997 Phys. Rev. E 55 7364
|
| [9] |
Moroz J D and Nelson P C 1997 Proc. Natl. Acad. Sci. USA 94 14418
|
| [10] |
Nelson P C 1998 Phys. Rev. Lett. 80 5810
|
| [11] |
Zhou H, Zhang Y and Ou-Yang Z C 1999 Phys. Rev. Lett. 82 4560
|
| [12] |
Panyukov S V and Rabin Y 2000 Phys. Rev. E 62 7135
|
| [13] |
Maier B, Seifert U and Radler J O 2002 Europhys. Lett. 60 622
|
| [14] |
Kessler D A and Rabin Y 2003 Phys. Rev. Lett. 90 024301
|
| [15] |
Kulić I M, Mohrbach H, Thaokar R and Schiessel H 2007 Phys. Rev. E 75 011913
|
| [16] |
Prasad A, Hori Y and Kondev J 2005 Phys. Rev. E 72 041918
|
| [17] |
Vaillant C, Audit B and Arnéodo A 2005 Phys. Rev. Lett. 95 068101
|
| [18] |
Zhou Z, Lai P Y and Joós B 2005 Phys. Rev. E 71 052801
|
| [19] |
Moukhtar J, Fontaine E, Faivre-Moskalenko C and Arnéodo A 2007 Phys. Rev. Lett. 98 178101
|
| [20] |
Popov Y O and Tkachenko A V 2007 Phys. Rev. E 76 021901
|
| [21] |
Zhou Z 2007 Phys. Rev. E 76 061913
|
| [22] |
Zhou Z and Joós B 2008 Phys. Rev. E 77 061906
|
| [23] |
Zhou Z and Joós B 2009 Phys. Rev. E 80 061911
|
| [24] |
Ji C, Zhang L Y, Hou X M, Dou S X and Wang P Y 2011 Chin. Phys. Lett. 28 068702
|
| [25] |
Lei X L, Fang H P and Qi W P 2013 Chin. Phys. Lett. 30 128701
|
| [26] |
Yao M, Qiu W, Liu R, Efremov A K, Cong P, Seddiki R, Payre M, Lim C T, Ladoux B, Mege R M and Yan J 2014 Nat. Commun. 5 4525
|
| [27] |
Yao M, Goult B T, Chen H, Cong P, Sheetz M P and Yan J 2014 Sci. Rep. 4 4610
|
| [28] |
Zhou Z, Lin F T, Hung C Y, Wu H Y and Chen B H 2014 J. Phys. Soc. Jpn. 83 044802
|
| [29] |
Lin F T, Chen B H and Zhou Z 2015 Chin. Phys. B 24 028701
|
| [30] |
Chaichian M and Demichev A 2001 Path Integrals in Physics:Stochastic Process and Quantum Mechanics, Vol. 1 (Bristol:IOP Publishing Ltd)
|
| [31] |
Feynman R P and Hibbs A R 1965 Quantum Mechanics and Path Integrals (New York:McGraw-Hill Book Company)
|
| [32] |
Wiegel F W 1986 Introduction to Path-Integral Methods in Physics and Polymer Science (Singapore:World Scientific)
|
| [33] |
Kleinert H 2009 Path integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, 5th edn. (Singapore:World Scientific).
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
