Abstract
Entropic elastic constants of lamellar tethered membrane phases are considered both in the vicinity of and at temperatures well below the membrane crumpling transition critical point. We calculate entropic forces acting on boundaries of these systems. Various predictions of the statistical physics of tethered membranes, such as the breakdown of the classical membrane elasticity theory at low temperatures or the existence of the crumpling transition, can be tested experimentally by using our results.
Similar content being viewed by others
References
Y. Kantor, M. Kardar, and D.R. Nelson, Phys. Rev. Lett. 57, 791 (1986).
D.R. Nelson and L. Peliti, J. Phys. France 48, 1085 (1987).
J.A. Aronovitz and T.C. Lubensky, Phys. Rev. Lett. 60, 2634 (1988).
J.A. Aronovitz, L. Golubovic, and T.C. Lubensky, J. Phys. France 50, 609 (1989).
S. Leibler and A.G. Maggs, Phys. Rev. Lett. 63, 406 (1989).
Y. Kantor and D.R. Nelson, Phys. Rev. Lett. 58, 2774 (1987); F. David and E. Guitter, Europhys. Lett. 5, 709 (1988). These works consider crumpling transition of nonselfavoiding tethered membrane. More recent numerical simulations searching for the transition in selfavoiding membranes are M. Plischke and D. Boal, Phys. Rev. A38, 4943 (1988); F.F. Abraham, W.E. Rudge, M. Plischke Phys. Rev. Lett. 62, 1757 (1989); J.-S. Ho and A. Baumgartner, Phys. Rev. Lett. 63, 1324 (1989); G. Grest and M. Murat, J. Phys. France 51, 1415 (1990); F. F. Abraham and D.R. Nelson, J. Phys. France 51, 2653 (1990).
M. Paczuski, M. Kardar, and D. R. Nelson, Phys. Rev. Lett. 60, 2638 (1988).
D. Roux and C. R. Safinya, private communications.
W. Helfrich, Z. Naturforsch 33a, 305 (1978).
L. Golubovic and T.C. Lubensky, Phys. Rev. B39, 12110 (1989).
C.R. Safinya, D. Roux, G. S. Smith, S. K. Sinha, P. Dimon, N.A. Clark, and A.M. Bellocq, Phys. Rev. Lett. 57, 2718 (1986); F.C. Larche, J. Appel, G. Porte, P. Bassereau, and J. Marignan, Phys. Rev. Lett. 56, 1700 (1986). See also D. Roux and C.R. Safinya, J. Phys. France 49, 307 (1988).
L. Golubovic and T. C. Lubensky, Phys. Rev. A41, 4343 (1990).
L. Golubovic and T.C. Lubensky, Phys. Rev. A43, 6793 (1991); L. Golubovic, Phys. Rev. Lett. 65, 1963 (1990).
J. Toner, Phys. Rev. Lett. 64, 1741 (1990).
P.G. de Gennes, J.Phys. (Paris) 37, 1443 (1976); S. Alexander, 38, 983 (1977).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Golubovic, L., Lubensky, T.C. Entropic Elasticity of Lamellar Tethered Membrane Phases. MRS Online Proceedings Library 248, 69–74 (1991). https://doi.org/10.1557/PROC-248-69
Published:
Issue Date:
DOI: https://doi.org/10.1557/PROC-248-69