The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. A. Boldrighini, C. Cosimi, A. Frigio, M. Grasso-Nunes, Computer simulations of shock waves in the completely asymmetric simple exclusion process, J. Stat. Phys.55, (1989), 611-623. MR 90d:82001
  2. B. Derrida, S. A. Janowsky, J. L. Lebowitz, E. R. Speer, Exact solution of the totally asymmetric simple exclusion process: Shock profiles, J. Stat. Phys.73 (1993), 813-842. MR 95e:60102
  3. B. Derrida, J. L. Lebowitz, E. R. Speer, Shock profiles in the asymmetric simple exclusion process in one dimension, J. Stat. Phys.89 (1997), 135-167. MR 99f:82049
  4. W. Feller, Introduction to the probability theory and its applications. Vol. I, Wiley P, 1968 (3-d edition). MR 37:3604
  5. P. A. Ferrari, Shocks in one-dimensional processes with drift. In Probability and Phase Transition. (Ed. G. Grimmett), Cambridge, 1993. MR 95h:60160
  6. P. A. Ferrari, L. R. G. Fontes, Shock fluctuations in the asymmetric simple exclusion process, Probab. Theor. Rel. Fields 99, (1994), 305-319. MR 95h:60159
  7. P. A. Ferrari, L. R. G. Fontes and M. E. Vares, The asymmetric simple exclusion model with multiple shocks, Ann. Inst. Henri PoincarÈ, ProbabilitÈs et Statistiques 36, 2 (2000) 109-126. MR 2001g:60244
  8. P. A. Ferrari, C. Kipnis, S. Saada, Microscopic structure of traveling waves in the asymmetric simple exclusion process, Ann. Prob. 19, No.1 (1991), 226-244. MR 92b:60099
  9. A. N. Kirillov, N. Yu. Reshetikhin, in: Proceedings of the 1988 Luminy Conference on Infinite-Dimensional Lie Algebras and Groups, V. G. Kac (ed.), World Scientific, Singapore (1988). MR 90m:17022
  10. A. B. Kolomeisky, G. M. Schütz, E. B. Kolomeisky and J. P. Straley, Phase diagram of one-dimensional driven lattice gases with open boundaries, J. Phys. A 31 (1998), 6911 - 6919. Math Review number not avialable.
  11. K. Krebs, Ph.D. thesis, University of Bonn (2001). Math Review number not avialable.
  12. T. M. Liggett, Interacting Particle Systems Springer, Berlin (1985). MR 86e:60089
  13. T. M. Liggett, Stochastic Interacting Systems: Contact, Voter and Exclusion Processes. Springer, Berlin (1999). MR 2001g:60247
  14. V. Pasquier and H. Saleur, Common structures between finite systems and conformal field theories through quantum groups, Nucl. Phys. B 330 (1990), 523--556. MR 91c:81146
  15. G. M. Schütz, Duality relations for asymmetric exclusion process, J. Stat. Phys. 86, Nos. 5/6 (1997), 1265 - 1287. MR 98c:82026
  16. G. M. Schütz, Exactly solvable models for many-body systems far from equilibrium,in Phase Transitions and Critical Phenomena. Vol. 19, Eds. C. Domb and J. Lebowitz, Academic Press, London, (2000). Math Review number not avialable.
  17. G. M. Schütz, Exact solution of the master equation for the asymmetric exclusion process, J. Stat. Phys. 88 (1997), 427 - 445. MR 99e:82062
Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.