Skip to main content
Log in

Chemically controlled pattern formation in phase-separating materials

  • Published:
Il Nuovo Cimento D

Summary

The role of chemical reactions in the selection of patterns in phase-separating mixtures is presented. Linearized theory and computer simulation show that the initial long-wavelength instability characteristic of spinodal decomposition is suppressed by chemical reactions, which restrict domain growth to intermediate length scales even in the late stages of phase separation. Our findings suggest that chemical reactions may provide a novel way to stabilize and tune the steady-state morphology of phase-separating materials.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. C. Cross andP. C. Hohenberg:Rev. Mod. Phys.,65, 851 (1993).

    Article  ADS  Google Scholar 

  2. J. W. Cahn andJ. E. Hilliard.J. Chem. Phys.,28, 258 (1958).

    Article  Google Scholar 

  3. For recent reviews, seeK. Binder: inMaterial Science and Technology: Phase Transformations in Materials, edited byP. Haasen, Vol. 5 (Weinham; VCH, 1990), p. 405;S. C. Glotzer: inAnnual Reviews of Computational Physics, edited byD. Stauffer, Vol.2 (World Scientific, Singapore, 1995).

    Google Scholar 

  4. Some of the work described here was originally discussed inS. C. Glotzer, E. A. Di Marzio andM. Muthukumar:Phys. Rev. Lett., in press andPolymeric Materials: Science & Engineering, Proc. Am. Chem. Soc.,71, 645 (1994).

  5. Chemical reactions in closed, metastable systems wave considered inM. Gitterman:J. Stat. Phys.,58, 707 (1990), and references therein.

    Article  Google Scholar 

  6. S. Puri andH. Frisch:J. Phys. A,27, 6027 (1994).

    Article  MATH  ADS  Google Scholar 

  7. C. Castellano, S. C. Glotzer, E. A. Di Marzio andM. Muthukumar: in preparation.

  8. T. M. Rogers, K. R. Elder andR. C. Desai:Phys. Rev. B,37, 9638 (1988) and references therein.

    Article  ADS  Google Scholar 

  9. S. C. Glotzer, D. Stauffer andN. Jan:Phys. Rev. Lett.,72, 4109 (1994).

    Article  ADS  Google Scholar 

  10. Y. Oono andY. Shiwa:Mod. Phys. Lett. B,1, 49 (1987);Y. Oono andM. Bahiana:Phys. Rev. Lett.,61, 1109 (1988);A. Chakrabarti, R. Toral andJ. D. Gunton:Phys. Rev. Lett.,63, 2661 (1989);F. Liu andN. Goldenfeld:Phys. Rev. A,39, 4905 (1989).

    Article  ADS  Google Scholar 

  11. C. Sagui andR. C. Desai:Phys. Rev. Lett.,71, 3995 (1993);Phys. Rev. A,49, 2225 (1994), and references therein.C. Roland andR. C. Desai:Phys. Rev. B,42, 6658 (1990);L. Q. Chen andA. G. Khachaturyan:Phys. Rev. Lett.,70, 1477 (1993);S. A. Langer, R. E. Goldstein andD. P. Jackson:Phys. Rev. A,46, 4894 (1992);A. J. Dickstein, S. Erramilli, R. E. Goldstein, D. P. Jackson andS. A. Langer: preprint (1992);E. H. Brandt andU. Essmann:Phys. Status Solidi B,144, 13 (1987).

    Article  ADS  Google Scholar 

  12. S. C. Glotzer andA. Coniglio:Phys. Rev. E,50, 4241 (1994).

    Article  ADS  Google Scholar 

  13. A. Coniglio andM. Zannetti:Europhys. Lett.,10, 575 (1989);A. Coniglio, P. Ruggiero andM. Zannetti:Phys. Rev. E, in press.

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Glotzer, S.C., Di Marzio, E.A. & Muthukumar, M. Chemically controlled pattern formation in phase-separating materials. Il Nuovo Cimento D 16, 1171–1176 (1994). https://doi.org/10.1007/BF02458797

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02458797

PACS 65.70

PACS 05.50

PACS 82.35

PACS 64.60

PACS 01.30.Cc

Navigation