Skip to main content

Two-Species Driven Diffusion

  • Chapter
Modeling Nature

Abstract

The random motion of the particles in a two-species system in the presence of an external field, originally proposed as a model of certain kinds of materials known as superionic conductors, fast ion conductors, super ionic solids, or solid electrolytes shows rather interesting steady-state, nonequilibrium behavior. In this driven diffusive system, the external field biases the movement of each species in opposite directions and an order-disorder transition occurs as a function of density. We will develop a CA model of the driven diffusion of two species.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Gaylord, Richard J. and Wellin, Paul R. Computer Simulations with Mathematical Explorations in Complex Physical and Biological Systems. TELOS/Springer-Verlag (1995).

    Google Scholar 

  • Kertesz, J.., and Ramawamy, R. 1994. “Coarsening in a driven diffusive system with two species.” Europhysics Letters, 28, 617–622.

    Article  ADS  Google Scholar 

  • Schmittmann, B., Hwang, K., and Zia, R.K.R 1992. “Onset of spatial structures in biased diffusion of two species.” Europhysics Letters, 19, 19–25.

    Article  ADS  Google Scholar 

  • Schmittmann, B. and Zia, R.K.R Statistical Mechanics of Driven Diffusive Systems. Academic Press (1995).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer Science+Business Media New York

About this chapter

Cite this chapter

Gaylord, R.J., Nishidate, K. (1996). Two-Species Driven Diffusion. In: Modeling Nature. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9405-1_9

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-9405-1_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94620-7

  • Online ISBN: 978-1-4684-9405-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics