Abstract
The Asymmetric Simple Exclusion Process (ASEP) is the simplest cellular automaton which captures the essential aspects of most transport and traffic phenomena. It describes the directed motion of particles obeying an exclusion principle. For specific applications, however, various generalizations of the ASEP are necessary. These are discussed for the case of highway traffic, ant trails, pedestrian dynamics and intracellular transport.
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Chowdhury, D., Santen, L., Schadschneider, A.: Phys. Rep. 329, 199 (2000)
Schmittmann, B., Zia, R.P.K.: Statistical Mechanics of Driven Diffusive Systems. In: Domb, C., Lebowitz, J.L. (eds.) Phase Transitions and Crititcal Phenomena, vol. 17. Academic Press, London (1995)
Maerivot, S., De Moor, B.: Phys. Rep. 419, 1 (2005)
Chowdhury, D., Nishinari, K., Schadschneider, A.: Phys. Life Rev. 2, 318 (2005)
Privman, V. (ed.): Nonequilibrium Statistical Mechanics in One Dimension. Cambridge University Press, Cambridge (1997)
Schütz, G.M.: Exactly Solvable Models for Many Body Systems. In: Domb, C., Lebowitz, J.L. (eds.) Phase Transitions and Crititcal Phenomena, vol. 19, Academic Press, London (2001)
Blythe, R.A., Evans, M.R.: J. Phys. A 40, R333 (2007)
Rajewsky, N., Santen, L., Schadschneider, A., Schreckenberg, M.: J.Stat.Phys. 92, 151 (1998)
Schadschneider, A., Schreckenberg, M.: J. Phys. A 31, L225 (1998)
Derrida, B., Evans, M.R., Hakim, V., Pasquier, V.: J. Phys. A 26, 1493 (1993)
Schütz, G., Domany, E.: J.Stat.Phys. 72, 277 (1993)
Kolomeisky, A.B., Schütz, G., Kolomeisky, E.B., Straley, J.P.: J. Phys. A 31, 6911 (1998)
Treiterer, J.: Ohio State Technical Report No. PB 246 094 (1975)
Sugiyama, Y., Fukui, M., Kikuchi, M., Hasebe, K., Nakayama, A., Nishinari, K., Tadaki, S., Yukawa, S.: New J. Phys. 10, 033001 (2008)
Daganzo, C.F., Cassidy, M.J., Bertini, R.L.: Transp. Res. A. 33, 365 (1999)
Kerner, B.S.: The Physics of Traffic. Springer, Heidelberg (2004)
Helbing, D.: Rev. Mod. Phys. 73, 1067 (2001)
Neubert, L., Santen, L., Schadschneider, A., Schreckenberg, M.: Phys. Rev. E 60, 6480 (1999)
Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.: Phys. Rev. E 65, 056133 (2002)
Nagel, K., Schreckenberg, M.: J. Physique I 2, 2221 (1992)
Schreckenberg, M., Schadschneider, A., Nagel, K., Ito, N.: Phys. Rev. E 51, 2339 (1995)
Barlovic, R., Santen, L., Schadschneider, A., Schreckenberg, M.: Eur. Phys. J.B. 5, 793 (1998)
Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.: Phys. Rev. E. 70, 016115 (2004)
Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.: Phys. Rev. E 65, 015101(R) (2002)
Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.: J.Phys. A 33, L477 (2000)
Kerner, B.S., Klenov, S.L., Wolf, D.E.: J. Phys. A 35, 9971 (2002)
Lee., H.K., Barlovic, R., Schreckenberg, M., Kim, D.: Phys. Rev. Lett. 92, 23702 (2004)
Hölldobler, B., Wilson, E.O.: The Ants. Belknap Press, Cambridge (1990)
Chowdhury, D., Guttal, V., Nishinari, K., Schadschneider, A.: J. Phys. A 35, L573 (2002)
Nishinari, K., Chowdhury, D., Schadschneider, A.: Phys. Rev. E 67, 036120 (2003)
Kunwar, A., John, A., Nishinari, K., Schadschneider, A., Chowdhury, D.: J. Phys. Soc. Jpn. 73, 2979 (2004)
Nishinari, K., Schadschneider, A., Chowdhury, D.: In: Sloot, P.M.A., Chopard, B., Hoekstra, A.G. (eds.) ACRI 2004. LNCS, vol. 3305, p. 192. Springer, Heidelberg (2004)
John, A., Schadschneider, A., Chowdhury, D., Nishinari, K.: Swarm Intelligence 2 (2008)
Schadschneider, A., Klingsch, W., Klüpfel, H., Kretz, T., Rogsch, C., Seyfried, A.: Encyclopedia of Complexity and System Science. Springer, Heidelberg (to appear, 2009) (arxiv.org/abs/0802.1620)
Helbing, D., Molnar, P.: Phys. Rev. E51, 4282 (1995)
Burstedde, C., Klauck, K., Schadschneider, A., Zittartz, J.: Physica A 295, 507 (2001)
Kirchner, A., Nishinari, K., Schadschneider, A.: Phys. Rev. E 67, 056122 (2003)
Schadschneider, A., Kirchner, A., Nishinari, K.: LNCS, vol. 2492, p. 239. Springer, Heidelberg (2002)
Howard, J.: Mechanics of Motor Proteins and the Cytoskeleton. Sinauer Associates (2001)
Parmeggiani, A., Franosch, T., Frey, E.: Phys. Rev. Lett. 90, 086601 (2003)
Lipowsky, R., Klumpp, S., Nieuwenhuizen, T.M.: Phys. Rev. Lett. 87, 108101 (2001)
Nishinari, K., Okada, Y., Schadschneider, A., Chowdhury, D.: Phys. Rev. Lett. 95, 118101 (2005)
Chowdhury, D., et al.: These proceedings
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Schadschneider, A. (2008). Modelling of Transport and Traffic Problems. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds) Cellular Automata. ACRI 2008. Lecture Notes in Computer Science, vol 5191. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79992-4_4
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