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On thermodynamic stability of heteropolymer mesophases formed under weak segregation regime

  • Statistical and Nonlinear Physics
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Abstract.

Conditions of local and global thermodynamic stability of spatially-periodic mesophases formed in an incompressible melt of binary monodisperse copolymers with molecules of arbitrary chemical structure are theoretically scrutinized. For the first time a bifurcation analysis of the Landau free energy in the first harmonic approximation is carried out. Based upon this analysis, feasible scenarios of bifurcation and phase transitions between mesophases of different morphology are discussed. The description of thermodynamic behavior of some systems is presented to exemplify the implementation of the approach proposed.

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References

  • I.W. Hamley, The Physics of Block Copolymers (Oxford Univ. Press, Oxford, New York, 1998)

  • F.S. Bates, G.H. Fredrickson, Ann. Rev. Phys. Chem. 41, 525 (1990)

    Article  Google Scholar 

  • H. Hasegawa, T. Hashimoto, in Comprehensive Polymer Science, Second Suppl., edited by G. Allen (Pergamon Press, 1996) Chap. 14 p. 497

  • L. Leibler, Macromolecules 13, 1602 (1980)

    Article  Google Scholar 

  • K. Binder, Adv. Polym. Sci. 112, 181 (1994)

    Article  Google Scholar 

  • R. Holyst, T.A. Vilgis, Macromol. Theory Simul. 5, 573 (1996)

    Article  Google Scholar 

  • G.H. Fredrickson, The Equilibrium Theory of Inhomogeneous Polymers (Clanderon Press, Oxford, 2006)

  • S.I. Kuchanov, S.V. Panyukov, in Comprehensive Polymer Science, Second Suppl., edited by G. Allen (Pergamon Press, 1996) Chap. 13 p. 441

  • S. Qi, Z.-G. Wang, Phys. Rev. Lett. 76, 1679 (1996)

    Article  ADS  Google Scholar 

  • S. Qi, Z.-G. Wang, Phys. Rev. E 55, 1682 (1997)

    Article  ADS  Google Scholar 

  • M. Nonomura, T. Ohta, J. Phys.: Cond. Mat. 13, 9089 (2001)

    Article  ADS  Google Scholar 

  • M. Nonomura, K. Yamada, T. Ohta, J. Phys. Cond. Mat. 15, L423 (2003)

  • K. Yamada, M. Nonomura, T. Ohta, Macromol. 37, 5762 (2004)

    Article  Google Scholar 

  • K. Yamada, M. Nonomura, A. Saeki, T.Ohta, J. Phys. Cond. Mat. 17, 4877 (2005)

    Article  ADS  Google Scholar 

  • A.M. Mayes, M. Olvera de la Cruz, W.E. McMullen, Macromol. 26, 4050 (1993)

    Article  Google Scholar 

  • Y. Smirnova, I. Erukhimovich, G. ten Brinke, Polym. Sci. A 47, 430 (2005)

    Google Scholar 

  • Y. Smirnova, G. ten Brinke, I. Erukhimovich, J. Chem. Phys. 124, 054907 (2006)

    Article  ADS  Google Scholar 

  • B. Dionne, M. Golubitsky, ZAMP 43, 36 (1992)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • B. Dionne, ZAMP 44, 673 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • J.C. Toledano, P. Toledano, The Landau Theory of Phase Transitions (World Scientific, Singapore, 1987)

  • M.A. Aliev, S.I. Kuchanov, Eur. Phys. J. B 43, 251 (2005)

    Article  ADS  Google Scholar 

  • I.Ya. Erukhimovich, A.V. Dobrynin, Macromol. Symp. 81, 253 (1994)

    Google Scholar 

  • Being interested in obtaining the bifurcation scenario realized at the increasing τ, one should consider instead of the orgraph portrayed in Figure [SEE TEXT] another one obtained from the former by the replacement of all arcs by those aligned in opposite direction

  • Phases of the transient states are not specified in Table [SEE TEXT] deliberately, since they coincide with the phases of the minima which are extreme points of the path on which this state is locate

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Authors and Affiliations

  1. Physics Department, Lomonosov Moscow State University, Vorobjevi Gory, 119992, Moscow, Russia

    S. I. Kuchanov & V. E. Pichugin

  2. Engelhardt Institute of Molecular Biology, RAS, Vavilova str. 32, 119991, Moscow, Russia

    M. A. Livshits

Authors
  1. S. I. Kuchanov
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  2. M. A. Livshits
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  3. V. E. Pichugin
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Correspondence to S. I. Kuchanov.

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Kuchanov, S., Livshits, M. & Pichugin, V. On thermodynamic stability of heteropolymer mesophases formed under weak segregation regime. Eur. Phys. J. B 58, 69–82 (2007). https://doi.org/10.1140/epjb/e2007-00199-x

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  • DOI: https://doi.org/10.1140/epjb/e2007-00199-x

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