Simulations of a single membrane between two walls using a Monte Carlo method

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 1, 1998, Pages 881-888

  Gouliaev, Nikolai ^a   Nagle, John F ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000651361     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.881     Document Type: Article

References (23)

1. H. I. Petrache, N. Gouliaev, S. Tristram-Nagle, R. Zhang, R. M. Suter, and J. F. Nagle, Phys. Rev. E 57, 7014 (1998).PLEEE8
2. W. Helfrich, Z. Naturforsch. A 33A, 305 (1978).ZENAAU
3. C. R. Safinya, E. B. Sirota, D. Roux, and G. S. Smith, Phys. Rev. Lett. 62, 1134 (1989),
4. although a considerable numerical discrepancy with MC simulations has remained unresolved, see, e.g., R. R. Netz, Phys. Rev. E 51, 2286 (1995).PLEEE8
5. D. Sornette and N. Ostrowsky, J. Chem. Phys. 84, 4062 (1986).JCPSA6
6. R. Podgornik and V. A. Parsegian, Langmuir 8, 557 (1992).LANGD5
7. The duration of a simulation is measured in Monte Carlo steps (MCS). One MCS is defined as such a sequence of “moves” that, on average, changes the variable corresponding to each degree of freedom once. One MCS is equivalent to N2 changes of randomly chosen amplitudes for FMC simulations and for PMC simulations it is equivalent to N2 moves of randomly chosen points. The autocorrelation times 19, denoted τ with subscripts referring to physical quantities, are also measured in MCS.
8. R. Lipowsky and B. Zielinska, Phys. Rev. Lett. 62, 1572 (1989).PRLTAO
9. In contrast to the soft confinement regime, extensive simulations have been performed for single membranes and for short stacks in the hard confinement regime using the PMC method. Some general reviews include W. Janke, Int. J. Mod. Phys. B 4, 1763 (1990)
10. G. Gompper and M. Schick, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, New York, 1994), Vol. 16
11. R. Lipowsky, in Handbook of Biological Physics, edited by R. Lipowsky and E. Sackmann (Elsevier, New York, 1995), Vol. I, Chap. 11.
12. S. E. Feller, R. M. Venable, and R. W. Pastor, Langmuir 13, 6555 (1997).LANGD5
13. L. Perera, U. Essmann, and M. L. Berkowitz, Prog. Colloid Polym. Sci. 103, 107 (1997); PCPSD7
14. D. P. Tieleman, S. J. Marrink, and H. J. C. Berendsen, Biochim. Biophys. Acta 1331, 235 (1997).BBACAQ
15. K. Tu, D. J. Tobias, and M. L. Klein, Curr. Opin. Colloid Interface Sci.2, 15 (1997).COCSIL
16. A. Caille, C. R. Seances Acad. Sci., Ser. B 174, 891 (1972).CHDBAN
17. J. Als-Nielsen, J. D. Litster, R. J. Birgeneau, M. Kaplan, C. R. Safinya, A. Lindegaard-Andersen, and R. Mathiesen, Phys. Rev. B 22, 312 (1980).PRBMDO
18. R. Holyst, Phys. Rev. A 44, 3692 (1991).PLRAAN
19. R. Zhang, R. M. Suter, and J. F. Nagle, Phys. Rev. E 50, 5047 (1994).PLEEE8
20. T. J. McIntosh, A. D. Magid, and S. A. Simon, Biochemistry 26, 7325 (1987).BICHAW
21. D. Bouzida, S. Kumar, and R. H. Swendsen, Phys. Rev. A 45, 8894 (1992).PLRAAN
22. In this paper, the following units for the interaction parameters will be used for brevity: A(109 ergs/cm3), H(10-14 ergs), Kc(10-12 ergs).
23. H. Müller-Krumbhaar and K. Binder, J. Stat. Phys. 8, 1 (1973).