zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Jamming transition of pedestrian traffic at a crossing with open boundaries. (English) Zbl 1052.90530
Summary: Pedestrian traffic at a crossing is investigated under the open boundary condition by the use of the lattice gas model of biased random walkers without the back step. The four types of walkers interact with each other at the crossing where there are random walkers going to the right, left, up, and down. It is found that a dynamical jamming transition from the moving state at low density to the stopped state at high density occurs at the critical density. The transition point depends on the strength of drift and decreases with increasing drift. The transition point does not depend on the length of roads connecting the crossing for the long road. Also, the pedestrian traffic with two types of walkers is studied where there are random walkers going to the right and up. It is compared with the pedestrian traffic with the four types of random walkers.

90B20Traffic problems
82C20Dynamic lattice systems and systems on graphs
Full Text: DOI
[1] Wolf, D. E.; Schreckenberg, M.; Bachem (Eds.), A.: Traffic and granular flow. (1996)
[2] Schreckenberg, M.; Wolf (Eds.), D. E.: Traffic and granular flow ’97. (1998) · Zbl 0908.90127
[3] Helbing, D.: Verkehrsdynamik. (1997)
[4] Nagatani, T.: Phys. rev. E. 58, 4271 (1998)
[5] Komatsu, T.; Sasa, S.: Phys. rev. E. 52, 5574 (1995)
[6] Bando, M.; Hasebe, K.; Nakayama, A.; Shibata, A.; Sugiyama, Y.: Phys. rev. E. 51, 1035 (1995)
[7] Nagel, K.; Schreckenberg, M.: J. physique I. 2, 2221 (1992)
[8] Schreckenberg, M.; Schadschneider, A.; Nagel, K.; Ito, N.: Phys. rev. E. 51, 2329 (1995)
[9] Csanyi, G.; Kertestz, J.: J. phys. A. 28, 427 (1995)
[10] Benjamin, S. C.; Johnson, N. F.; Hui, P. M.: J. phys. A. 29, 3119 (1996)
[11] Schadschneider, A.; Schreckenberg, M.: Ann. phys.. 6, 541 (1997)
[12] Ben-Naim, E.; Krapivsky, P. L.; Redner, S.: Phys. rev. E. 50, 822 (1994)
[13] Nagatani, T.: Phys. rev. E. 51, 922 (1995)
[14] Prigogine, I.; Herman, R.: Kinetic theory of vehicular traffic. (1971) · Zbl 0226.90011
[15] Paveri-Fontana, S. L.: Transportation res.. 9, 225 (1975)
[16] Helbing, D.: Phys. rev. E. 53, 2366 (1996)
[17] Helbing, D.: Physica A. 233, 253 (1996) · Zbl 0848.90147
[18] Nagatani, T.: Physica A. 237, 67 (1997)
[19] Kerner, B. S.; Konhauser, P.: Phys. rev. E. 48, 2335 (1993)
[20] Kerner, B. S.; Konhauser, P.; Schilke, M.: Phys. rev. E. 51, 6243 (1995)
[21] Krauss, S.; Wagner, P.; Gawron, C.: Phys. rev. E. 55, 5597 (1997)
[22] Kerner, B. S.; Rehborn, H.: Phys. rev. E. 53, R1297 (1996)
[23] Kurtze, D. A.; Hong, D. C.: Phys. rev. E. 52, 218 (1995)
[24] Nagatani, T.; Nakanishi, K.: Phys. rev. E. 57, 6415 (1998)
[25] Helbing, D.; Hennecke, A.; Treiber, M.: Phys. rev. Lett.. 82, 4360 (1999)
[26] Lee, H. Y.; Lee, H. -W; Kim, D.: Phys. rev. E. 59, 5101 (1999)
[27] Muramatsu, M.; Nagatani, T.: Phys. rev. E. 60, 180 (1999)
[28] Nagatani, T.: Phys. rev. E. 60, 1535 (1999)
[29] Nagatani, T.: Physica A. 202, 449 (1994)
[30] Awazu, A.: J. phys. Soc. jpn.. 67, 1071 (1998)
[31] Nagel, K.; Wolf, D. E.; Wagner, P.; Simon, P.: Phys. rev. E. 58, 1425 (1998)
[32] Biham, O.; Middelton, A. A.; Levine, D. A.: Phys. rev. A. 46, R6124 (1992)
[33] Nagatani, T.: Phys. rev. E. 48, 3290 (1993)
[34] Cuesta, J. A.; Matinez, F. C.; Nolera, J. M.; Sanchez, A.: Phys. rev. E. 48, 4175 (1993)
[35] Hui, K. H. Chung P. M.; Gu, G. Q.: Phys. rev. E. 51, 772 (1995)
[36] Tadaki, S.; Kikuchi, M.: Phys. rev. E. 50, 4564 (1994)
[37] Horiguchi, T.; Sakakibara, T.: Physica A. 252, 388 (1998)
[38] Henderson, L. F.: Nature. 229, 381 (1971)
[39] Helbing, D.: Phys. rev. E. 51, 4282 (1995)
[40] Muramatsu, M.; Irie, T.; Nagatani, T.: Physica A. 267, 487 (1999)
[41] Fukui, M.; Ishibashi, Y.: J. phys. Soc. jpn.. 68, 2861 (1999)
[42] Muramatsu, M.; Nagatani, T.: Physica A. 275, 281 (2000)