Publications


Reviews

  1. Cellular automata models of highway traffic
    Physica A372, 142 (2006).

  2. Physics of transport and traffic phenomena in biology: from molecular motors and cells to organisms
    with Debashish Chowdhury and K. Nishinari
    Physics of Life Reviews 2, 318 (2005).

  3. Self-organized patterns and traffic flow in colonies of organisms: from bacteria and social insects to vertebrates
    with Debashish Chowdhury and K. Nishinari
    Phase Transitions 77, 601 (2004).

  4. Traffic flow: A statistical physics point of view
    Physica A313, 153 (2002).

  5. Statistical Physics of Vehicular Traffic and Some Related Systems
    with Debashish Chowdhury and Ludger Santen
    Physics Reports 329, 199 (2000).

  6. Statistical Physics of Traffic Flow
    Physica A285, 101 (2000).

  7. Modelling and Simulation of Vehicular Traffic: A Statistical Physics Perspective
    with Debashish Chowdhury and Ludger Santen
    Computing in Science and Engineering 2, 80 (2000).

  8. Vehicular Traffic: A System of Interacting Particles Driven Far From Equilibrium
    with Debashish Chowdhury and Ludger Santen
    Current Science 77, 411 (1999).


Other Publications (in chronological order)

    1. Phase diagram and edge effects in the ASEP with bottlenecks
      with P. Greulich
      Physica A (in press)

    2. An information-based traffic control in a public conveyance system: reduced clustering and enhanced efficiency
      with A. Tomoeda, K. Nishinari, and D. Chowdhury
      Physica A384, 600 (2007)

    3. Intra-cellular transport by single-headed kinesin KIF1A: effects of single-motor mechano-chemistry and steric interactions
      with P. Greulich, A. Garai, K. Nishinari, and D. Chowdhury
      Phys. Rev. E75, 041905 (2007)

    4. Statistical properties of online auctions
      with A. Namazi
      Int. J. Phys. C17, 1485 (2006)

    5. Competition of coarsening and shredding of clusters in a driven diffusive lattice gas
      with A. Kunwar, D. Chowdhury, and K. Nishinari
      J. Stat. Mech.: Theor. Exp. (2006) L06001

    6. Modelling of self-driven particles: Foraging ants and pedestrians
      with K. Nishinari, K. Sugawara, T. Kazama, and D. Chowdhury
      Physica A372, 132 (2006).

    7. Triplet superconductivity in a 1D itinerant electron system with transverse spin anisotropy
      with C. Dziurzik, G.I. Japaridze, I. Titvinidze, and J. Zittartz
      Eur. Phys. J. B51, 41 (2006).

    8. Asymmetric exclusion processes with shuffled dynamics
      with M. Woelki and M. Schreckenberg
      J. Phys. A39, 33 (2006).

    9. Intra-cellular transport of single-headed molecular motors KIF1A
      with K. Nishinari, Y. Okada, and D. Chowdhury
      Phys. Rev. Lett. 95, 118101 (2005).

    10. Exact ground states of quantum spin-2 models on the hexagonal lattice
      with M.A. Ahrens and J. Zittartz
      Phys. Rev. B71, 174432 (2005)

    11. Optimization of highway networks and traffic forecasting
      with W. Knospe, L. Santen, M. Schreckenberg
      Physica A346, 163 (2005)

    12. Collective traffic-like movement of ants on a trail: dynamical phases and phase transitions
      with A. Kunwar, A. John, D. Chowdhury, and K. Nishinari
      J. Phys. Soc. Jpn. 73, 2979 (2004)

    13. Discretization effects and the influence of walking speed in cellular automata models for pedestrian dynamics
      with A. Kirchner, H. Klüpfel, K. Nishinari and M. Schreckenberg
      J. Stat. Mech.: Theor. Exp., P10011 (2004)

    14. Collective effects in traffic on bi-directional ant-trails
      with A. John, D. Chowdhury, and K. Nishinari
      J. Theor. Biol. 231, 279 (2004)

    15. Empirical test for cellular automaton models of traffic flow
      with W. Knospe, L. Santen and M. Schreckenberg
      Phys. Rev. E70, 016115 (2004)

    16. Triplet superconductivity vs. easy-plane ferromagnetism in a 1D itinerant electron system with transverse spin anisotropy
      with C. Dziurzik, G.I. Japaridze, and J. Zittartz
      Eur. Phys. J. B37, 453 (2004)

    17. A stochastic cellular automaton model for traffic flow with multiple metastable states
      with K. Nishinari and M. Fukui
      J. Phys. A37, 3101 (2004).

    18. New kind of phase separation in a CA traffic model with anticipation
      with M.E. Larraga and J.A. del Rio
      J. Phys. A37, 3769 (2004).

    19. Thermodynamic properties and thermal correlations lengths of a Hubbard model with bond-charge interaction
      with A. Kemper
      Phys. Rev. B68, 235102 (2003).

    20. Anomalous fundamental diagrams in traffic on ant trails
      with D. Chowdhury, A. John and K. Nishinari
      in "Traffic and Granular Flow '03".

    21. Friction effects and clogging in a cellular automaton model for pedestrian dynamics
      with A. Kirchner and K. Nishinari
      Phys. Rev. E67, 056122 (2003).

    22. Simulation of competitive egress behavior: Comparison with aircraft evacuation data
      with H. Klüpfel, A. Kirchner, K. Nishinari and M. Schreckenberg
      Physica A324, 691 (2003).

    23. Cluster formation and anomalous fundamental diagram in an ant trail model
      with K. Nishinari and D. Chowdhury
      Phys. Rev. E67, 036120 (2003).

    24. Matrix product approach for the asymmetric random average process
      with F. Zielen
      J. Phys. A36, 3709 (2003).

    25. Stochastic light-cone-CTMRG: a new DMRG approach to stochastic models
      with A. Kemper, A. Gendiar, T. Nishino and J. Zittartz
      J. Phys. A36, 29 (2003).

    26. Excitations in spin-1 chains with matrix-product ground states
      with E. Bartel and J. Zittartz
      Eur. Phys. J. B31, 209 (2003).

    27. Boundary-induced phase transitions in a space-continuous traffic model with non-unique flow-density relation
      with A. Namazi, N. Eissfeldt and P. Wagner
      Eur. Phys. J. B30, 559 (2002).

    28. Open boundaries in a cellular automaton model for traffic flow with metastable states
      with R. Barlovic, T. Huisinga and M. Schreckenberg
      Phys. Rev. E66, 046113 (2002).

    29. Broken ergodicity in a stochastic model with condensation
      with Frank Zielen
      Phys. Rev. Lett. 89, 090601 (2002).

    30. Exact ground states of spin-2 chains
      with M.A. Ahrens and J. Zittartz
      Europhys. Lett. 59, 889 (2002).

    31. A cellular-automata model of flow in ant-trails: Non-monotonic variation of speed with density
      with Debashish Chowdhury, Vishwesha Guttal and Katsuhiro Nishinari
      J. Phys. A35, L1 (2002).

    32. Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics
      with A. Kirchner
      Physica A312, 260 (2002).

    33. A realistic two-lane traffic model for highway traffic
      with W. Knospe, L. Santen and M. Schreckenberg
      J. Phys. A35, 3369 (2002).

    34. CA approach to collective phenomena in pedestrian dynamics
      with A. Kirchner and K. Nishinari
      in ``Cellular Automata'', Lecture Notes in Computer Science 2493, p. 239 Eds.: S. Bandini, B. Chopard, M. Tomassini (Springer 2002).

    35. Single-vehicle data of highway traffic: microscopic description of traffic phases
      with W. Knospe, L. Santen and M. Schreckenberg
      Phys. Rev. E65, 056133 (2002).

    36. Cellular automaton simulations of pedestrian dynamics and evacuation processes
      with A. Kirchner
      in ``Traffic and Granular Flow '01''(Springer 2002).

    37. Bionics-inspired cellular automaton model for pedestrian dynamics
      in ``Traffic and Granular Flow '01''(Springer 2002).

    38. Asymmetric Random Average Process: Aggregation and Fragmentation on Continuous State Space
      with F. Zielen
      in ``Traffic and Granular Flow '01''(Springer 2002).

    39. Comment on `Garden of Eden states in traffic model revisited'
      with M. Schreckenberg
      J. Phys. A35, 1321 (2002).

    40. Traffic flow: A statistical physics point of view
      Physica A313, 153 (2002).

    41. Localized defects in a cellular automaton model for traffic flow with phase separation
      with A. Pottmeier, R. Barlovic, W. Knospe and M. Schreckenberg
      Physica A308, 471 (2002).

    42. Human behavior as origin of traffic phases
      with W. Knospe, L. Santen and M. Schreckenberg
      Phys. Rev. E65, 015101(R) (2002).

    43. Exact Mean-Field Solutions of the Asymmetric Random Average Process
      with F. Zielen
      J. Stat. Phys. 106 , 173 (2002).

    44. Exact stationary state of a staggered stochastic hopping model
      with K. Klauck and J Zittartz
      J. Low Temp. Phys. 126, 1411 (2002).

    45. Optimizing Traffic Signals in a Cellular Automaton Model for City Traffic
      with E. Brockfeld, R. Barlovic and M. Schreckenberg
      Phys. Rev. E64, 056132 (2001).

    46. Transfer-matrix DMRG for stochastic models: The Domany-Kinzel cellular automaton
      with A. Kemper and J Zittartz
      J. Phys. A34, L279 (2001).

    47. Cellular Automaton Approach to Pedestrian Dynamics - Theory
      in ``Pedestrian and Evacuation Dynamics'', M. Schreckenberg and S.D. Sharma (Eds.), p. 75 (Springer 2001).

    48. Cellular Automaton Approach to Pedestrian Dynamics - Applications
      with C. Burstedde, A. Kirchner, K. Klauck and J. Zittartz
      in ``Pedestrian and Evacuation Dynamics'', M. Schreckenberg and S.D. Sharma (Eds.), p. 87 (Springer 2001).

    49. Random walk theory of jamming in a cellular automaton model for traffic flow
      with R. Barlovic and M. Schreckenberg
      Physica A294, 525 (2001).

    50. Simulation of pedestrian dynamics using a 2-dimensional cellular automaton
      with C. Burstedde, K. Klauck and J, Zittartz
      Physica A295, 507 (2001).

    51. A microscopic model for packet transport in the Internet
      with T. Huisinga, R. Barlovic, W. Knospe and M. Schreckenberg
      Physica A294, 249 (2001).

    52. Empirical evidence for a boundary-induced phase transition
      with V. Popkov, L. Santen and G.M. Schütz
      J. Phys. A34, L45 (2001).

    53. Towards a realistic microscopic description of highway traffic
      with W. Knospe, L. Santen and M. Schreckenberg
      J. Phys. A33, L477 (2000).

    54. Modelling and Simulation of Vehicular Traffic: A Statistical Physics Perspective
      with D. Chowdhury and L. Santen
      Computing in Science and Engineering 2, 80 (2000).

    55. Statistical analysis of freeway traffic
      with L. Neubert, L. Santen and M. Schreckenberg
      in `Traffic and Granular Flow '99: Social, Traffic, and Granular Dynamics', edited by D. Helbing, H.J. Herrmann, M. Schreckenberg and D.E. Wolf (Springer, Berlin, 2000).

    56. CA models for traffic flow: Comparison with empirical single-vehicle data
      with W. Knospe, L. Santen and M. Schreckenberg
      in `Traffic and Granular Flow '99: Social, Traffic, and Granular Dynamics', edited by D. Helbing, H.J. Herrmann, M. Schreckenberg and D.E. Wolf (Springer, Berlin, 2000).

    57. A new cellular automata model for city traffic
      with D. Chowdhury, E. Brockfeld, K. Klauck, L. Santen and J. Zittartz
      in `Traffic and Granular Flow '99: Social, Traffic, and Granular Dynamics', edited by D. Helbing, H.J. Herrmann, M. Schreckenberg and D.E. Wolf (Springer, Berlin, 2000).

    58. Statistical Physics of Traffic Flow
      Physica A285, 101 (2000).

    59. Effects of on- and off-ramps in cellular automata models for traffic flow
      with G. Diedrich, L. Santen and J. Zittartz
      Int. J. Mod. Phys. C11, 335 (2000).

    60. Statistical Physics of Vehicular Traffic and Some Related Systems
      with D. Chowdhury and L. Santen
      Physics Reports 329, 199 (2000).

    61. Comment on ``Critical behavior of a traffic flow model''
      with D. Chowdhury, J. Kertesz, K. Nagel and L. Santen
      Phys. Rev. E61, 3270 (2000).

    62. Single-vehicle data of highway traffic - a statistical analysis
      with L. Neubert, L. Santen and M. Schreckenberg
      Phys. Rev. E60, 6480 (1999).

    63. Vehicular Traffic: A System of Interacting Particles Driven Far From Equilibrium
      with D. Chowdhury and L. Santen
      Current Science 77, 411 (1999).

    64. Optimum ground states of generalized Hubbard models with next-nearest neighbour interaction
      with C. Dziurzik and J. Zittartz
      Eur. Phys. J. B12, 209 (1999).

    65. Spatio-temporal organization of vehicles in a cellular automata model of traffic with 'slow-to-start' rule
      with D. Chowdhury, L. Santen, S. Sinha and A. Pasupathy
      J. Phys. A32, 3229 (1999).

    66. On the ubiquity of matrix-product states in one-dimensional stochastic processes with boundary interactions
      with K. Klauck
      Physica A271, 102 (1999).

    67. The Nagel-Schreckenberg model revisited
      Eur. Phys. J. B10, 573 (1999).

    68. Disorder effects in cellular automata for two-lane traffic
      with W. Knospe, L. Santen and M. Schreckenberg
      Physica A265, 614 (1999).

    69. Self-organization of traffic jams in cities: Effects of stochastic dynamics and signal periods
      with D. Chowdhury
      Phys. Rev. E59, R1311 (1999).

    70. Online-simulation of urban traffic using cellular automata
      with L. Santen, J. Esser, L. Neubert, A. Wahle and M. Schreckenberg
      in `Mathematics in Transport Planning and Control', J.D. Griffiths (Editor) (Pergamon, 1998).

    71. Metastable states in cellular automata for traffic flow
      with R. Barlovic, L. Santen and M. Schreckenberg
      Eur. Phys. J. B5, 793 (1998).

    72. `Current Trends in Condensed Matter Physics'
      (Festschrift in honour of J. Zittartz on the occasion of his 60th birthday)

      with A. Klümper (Editors)
      Eur. Phys. J. B5(3), 309 - 833 (1998).

    73. Garden of Eden states in traffic models
      with M. Schreckenberg
      J. Phys. A31, L225 (1998).

    74. Analytical approaches to CA for traffic flow: Approximations and exact solutions
      in `Traffic and Granular Flow '97', M. Schreckenberg and D.E. Wolf (Eds.), Springer (1998).

    75. Disorder effects in CA-models for traffic flow
      with W. Knospe, L. Santen and M. Schreckenberg
      in `Traffic and Granular Flow '97', M. Schreckenberg and D.E. Wolf (Eds.), Springer (1998).

    76. Metastable states in CA models for traffic flow
      with R. Barlovic, L. Santen and M. Schreckenberg
      in `Traffic and Granular Flow '97', M. Schreckenberg and D.E. Wolf (Eds.), Springer (1998).

    77. Jamming transition in CA models for traffic flow
      with L. Santen
      in `Traffic and Granular Flow '97', M. Schreckenberg and D.E. Wolf (Eds.), Springer (1998).

    78. The asymmetric exclusion process: Comparison of update procedures
      with N. Rajewsky, L. Santen and M. Schreckenberg
      J. Stat. Phys. 92, 151 (1998).

    79. Jamming transition in a cellular automaton model for traffic flow
      with B. Eisenblätter, L. Santen and M. Schreckenberg
      Phys. Rev. E57, 1309 (1998).

    80. Traffic flow models with 'slow-to-start' rules
      with M. Schreckenberg
      Ann. Physik 6, 541 (1997).

    81. Absence of superconducting long-range order in low-dimensional Hubbard models
      with Gang Su and J. Zittartz
      Phys. Lett. A230, 99 (1997).

    82. Car-oriented mean-field theory for traffic flow models
      with M. Schreckenberg
      J. Phys. A30, L69 (1997).

    83. Exact solution of the one-dimensional fermionic model with correlated hopping
      with Gang Su and J. Zittartz
      Z. Phys. B102, 393 (1997).

    84. Modelling and simulation of traffic flow with cellular automata
      with M. Schreckenberg
      in SCE 96 (1996 Conference on Scientific Computing in Europe), edited by H.J. Ruskin, R. O'Connor, Y. Feng (Centre for Teaching Computing, Dublin City University).

    85. The asymmetric exclusion model with time continous and time non-continous update
      with N. Rajewsky, L. Santen and M. Schreckenberg
      in SCE 96 (1996 Conference on Scientific Computing in Europe), edited by H.J. Ruskin, R. O'Connor, Y. Feng (Centre for Teaching Computing, Dublin City University).

    86. The asymmetric exclusion model with sequential update
      with N. Rajewsky and M. Schreckenberg
      J. Phys. A29, L305 (1996).

    87. Zellularautomaten simulieren Straßenverkehr
      with M. Schreckenberg and K. Nagel
      Phys. Blätter 52, 460 (1996).

    88. Traffic simulations with cellular automata
      with M. Schreckenberg
      in "`Automatische Identifikation in Praxis und Forschung"', Verlag Praxiswissen, Dortmund (1996).

    89. The Kasteleyn model and a cellular automaton approach to traffic flow
      with J.G. Brankov, V.B. Priezzhev and M. Schreckenberg
      J. Phys. A29, L229 (1996).

    90. Cellular automata for traffic flow: Analytical results
      with M. Schreckenberg
      Proceedings of the workshop on "Traffic and Granular Flow" in Jülich (1995).

    91. Eta-pairing superconductivity in generalized Hubbard models
      Phase Transitions 57, 37 (1996).

    92. Exact ground states of generalized Hubbard models
      with J. de Boer
      Phys. Rev. Lett. 75, 4298 (1995).

    93. Pair correlation functions in one-dimensional correlated-hopping models
      with M. Quaisser and J. Zittartz
      Europhys. Lett. 32, 179 (1995).

    94. XXZ model as effective Hamiltonian for generalized Hubbard models with broken Eta-symmetry
      with G. Albertini and V. E. Korepin
      J. Phys. A28, L303 (1995).

    95. Discrete stochastic models for traffic flow
      with M. Schreckenberg, K. Nagel and N. Ito
      Phys. Rev. E51, 2939 (1995).

    96. A one-dimensional integrable model of fermions with multi-particle hopping
      with R. Z. Bariev, A. Klümper and J. Zittartz
      J. Phys. A28, 2437 (1995).

    97. Critical exponents of a multicomponent anisotropic t-J model in one dimension
      with R. Z. Bariev, A. Klümper and J. Zittartz
      Z. Phys. B96, 395 (1995).

    98. Superconductivity in an exactly solvable Hubbard model with bond-charge interaction
      Phys. Rev. B51, 10386 (1995).

    99. Variational study of isotropic spin-1 chains
      with J. Zittartz
      Ann. Physik 4, 157 (1995).

    100. Eta-pairing as a mechanism of superconductivity in models of strongly correlated electrons
      with J. de Boer and V. E.Korepin
      Phys. Rev. Lett. 74, 789 (1995).

    101. On the Bethe Ansatz soluble degenerate Hubbard model
      with H. Frahm
      in 'The Hubbard Model: Its Physics and Mathematical Physics', eds. D.Baeriswyl, D.K. Campbell, J.M.P. Carmelo, F. Guinea, and E. Louis (Plenum, New York 1995), pp. 21-28.

    102. Exact solution of a one-dimensional fermion model with interchain tunneling
      with R. Z. Bariev, A. Klümper and J. Zittartz
      Phys. Rev. B50, 9676 (1994).

    103. Reentrant behavior in the Domany-Kinzel cellular automaton
      with H. Rieger and M. Schreckenberg
      J. Phys. A 27, L423 (1994).

    104. Magnetic properties of a one-dimensional integrable electron model with correlated hopping
      with M. Quaisser and J. Zittartz
      Z. Phys. B95, 427 (1994).

    105. A one-dimensional model of hole superconductivity
      with J. Zittartz, A. Klümper and R. Z. Bariev
      Physica B194-196, 1417 (1994).

    106. Matrix-product ground states for one-dimensional spin-1 quantum antiferromagnets
      with A. Klümper and J. Zittartz
      Europhys. Lett. 24, 293 (1993).

    107. Cellular automaton models and traffic flow
      with M. Schreckenberg
      J. Phys. A26, 4863 (1993).

    108. Excitation spectrum and critical exponents of a one-dimensional integrable model of fermions with correlated hopping
      with R. Z. Bariev, A. Klümper and J. Zittartz
      J. Phys. A26, 4863 (1993).

    109. Exact solution of a one-dimensional model of hole superconductivity
      with R. Z. Bariev, A. Klümper and J. Zittartz
      J. Phys. A26, 1249 (1993).

    110. Critical exponents of the degenerate Hubbard model
      with H. Frahm
      J. Phys. A26, 1463 (1993).

    111. Magnetic properties of the one-dimensional supersymmetric t-J model
      with M. Quaisser and J. Zittartz
      J. Phys. A25, L1127 (1992).

    112. Groundstate properties of a generalized VBS-model
      with A. Klümper and J. Zittartz
      Z. Phys. B87, 281 (1992).

    113. Equivalence and solution of anisotropic spin-1 models and generalized t-J fermion models in one dimension
      with A. Klümper and J. Zittartz
      J. Phys. A24, L955 (1991).

    114. On the one-dimensional Hubbard model away from half-filling
      with J. Zittartz
      Z. Phys. B82, 387 (1991).

    115. A new method for the excitations of the one-dimensional Hubbard model
      with A. Klümper and J. Zittartz
      Z. Phys. B78, 99 (1990).

    116. Inversion relations, phase transitions and transfer matrix excitations for special spin models in two dimensions
      with A. Klümper and J. Zittartz
      Z. Phys. B76, 247 (1989).