1990-1999

  • J.P. Voroney and A.T. Lawniczak, (2000), “Construction, Mathematical Description and Coding of Reactive Lattice-Gas Cellular Automaton”, Journal Simulation Practice and Theory, 7 (2000) pp. 657-689; appeared earlier as The Fields Institute FI-PIA 1999-001, pp. 1-45, 1999.
  • H. Fuks and A.T. Lawniczak, (1999), “Performance of Data Networks with Random Links”, Mathematics and Computers in Simulation 1726 (1999) pp. 1-17; appeared earlier as The Fields Institute FI-PIA 1999-012, pp. 1-23, 1999.
  • A. Deutsch, A.T. Lawniczak, (1999), “Probabilistic Lattice Models of Collective Motion and Aggregation; from Individual to Collective Dynamics”, Journal of Mathematical Bioscience 156 (1999), pp. 255-269; appeared earlier as The Fields Institute FI-NP1998-001, January 1998, pp. 1-15, and Sonderforschungsbereich 256, Nonlinear Partial Differential Equations, University of Bonn, Bonn 1998, pp. 1-15.
  • J.P. Voroney, A.T. Lawniczak, and R. Kapral, (1996), “Turing Patterns and Chemical Waves in Heterogeneous Medium”, Physica D (99) 1996, pp. 303-317.
  • J.P. Boon, D. Dab, R. Kapral, and A.T. Lawniczak, (1996), “Reactive Lattice Gas Automata”, Physics Reports, Vol. 273(2) 1996, pp. 107.
  • K. Diemer, A.T. Lawniczak, and R. Kapral, (1996), “Fluctuations and Chemical Waves in Bistable Reacting System”, The Fields Institute Communication Series, Pattern Formation and Lattice Gas Automata, Vol. 6, AMS (1996), pp. 79-97.
  • S. Chen, S.P. Dawson, G. Doolen, D. Jenecky, and A. Lawniczak, (1995), “Lattice Methods for Chemically Reacting Systems”, Computers Chem. Eng., Vol. 19(617) (1995) pp. 617-646.
  • S. Ponce-Dawson, A.T. Lawniczak, R. Kapral, (1994), “Interaction of the Turing and Flow Induced Chemical Instabilities", J. Chem. Phys. 100(7) (1994), pp. 5211-5218.
  • D. Gruner, R. Kapral, A.T. Lawniczak, (1993), “Nucleation, Domain Growth and Fluctuations, in a Bistable Chemical System”, J. Chem. Phys. 96(4) (1993), pp. 2762-2776.
  • B. Hasslacher, K. Kapral, and A.T. Lawniczak, (1993), “Molecular Turing Structures in the Biochemistry of the Cell”, Chaos 3(1) (1993) pp. 7-13.
  • R. Kapral, A.T. Lawniczak, and P. Masiar, (1992), “Reactive Dynamics in a Multi-Species Lattice Gas Automaton”, J. Chem. Phys. 96(4) (1992), pp. 2762-2776.
  • R. Kapral, A.T. Lawniczak and P. Masiar, (1991), “Oscillations and Waves in a Reactive Lattice Gas Automaton”, Phys. Rev. Let. 66 (1991), p. 2539-2542.
  • R. Kapral, A.T. Lawniczak and P. Masiar, (1991), “Complex Dynamics in Reactive Lattice Gas Models”, in Lectures in Thermodynamics and Statistical Mechanics, eds. M. L. de Haro and C. Varea (World Scientific, New Jersey), pp.44-54 (Proceedings of the XX Winter Meeting on Statistical Mechanics, Cuernavaca, Mexico, Jan. 1991, eds. M.L. de Haro and C. Varea).
  • A.T. Lawniczak, D. Dab, R. Kapral and J.P. Boon, (1991), “Reactive Lattice-Gas Automata”, Physica D 47 (1991), pp. 132-158.
  • D. Dab, A.T. Lawniczak, J.P. Boon and R. Kapral, (1990), “Cellular Automaton Model for a Reactive Lattice Gas”, Phys. Rev. Let. 64 (1990), p. 2462.