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Entropic Elasticity of Lamellar Tethered Membrane Phases

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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.

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References

  1. Y. Kantor, M. Kardar, and D.R. Nelson, Phys. Rev. Lett. 57, 791 (1986).

    Article  CAS  Google Scholar 

  2. D.R. Nelson and L. Peliti, J. Phys. France 48, 1085 (1987).

    Article  CAS  Google Scholar 

  3. J.A. Aronovitz and T.C. Lubensky, Phys. Rev. Lett. 60, 2634 (1988).

    Article  CAS  Google Scholar 

  4. J.A. Aronovitz, L. Golubovic, and T.C. Lubensky, J. Phys. France 50, 609 (1989).

    Article  Google Scholar 

  5. S. Leibler and A.G. Maggs, Phys. Rev. Lett. 63, 406 (1989).

    Article  CAS  Google Scholar 

  6. 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).

    Article  CAS  Google Scholar 

  7. M. Paczuski, M. Kardar, and D. R. Nelson, Phys. Rev. Lett. 60, 2638 (1988).

    Article  CAS  Google Scholar 

  8. D. Roux and C. R. Safinya, private communications.

  9. W. Helfrich, Z. Naturforsch 33a, 305 (1978).

    Article  CAS  Google Scholar 

  10. L. Golubovic and T.C. Lubensky, Phys. Rev. B39, 12110 (1989).

    Article  Google Scholar 

  11. 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).

    Article  CAS  Google Scholar 

  12. L. Golubovic and T. C. Lubensky, Phys. Rev. A41, 4343 (1990).

    Article  Google Scholar 

  13. L. Golubovic and T.C. Lubensky, Phys. Rev. A43, 6793 (1991); L. Golubovic, Phys. Rev. Lett. 65, 1963 (1990).

    Article  Google Scholar 

  14. J. Toner, Phys. Rev. Lett. 64, 1741 (1990).

    Article  CAS  Google Scholar 

  15. P.G. de Gennes, J.Phys. (Paris) 37, 1443 (1976); S. Alexander, 38, 983 (1977).

    Google Scholar 

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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

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