{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T04:44:54Z","timestamp":1769834694620,"version":"3.49.0"},"reference-count":134,"publisher":"World Scientific Pub Co Pte Lt","issue":"02n03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advs. Complex Syst."],"published-print":{"date-parts":[[2002,6]]},"abstract":"<jats:p> We discuss the cellular automata approach and its extensions, the lattice Boltzmann and multiparticle methods. The potential of these techniques is demonstrated in the case of modeling complex systems. In particular, we consider applications taken from various fields of physics, such as reaction-diffusion systems, pattern formation phenomena, fluid flows, fracture processes and road traffic models. <\/jats:p>","DOI":"10.1142\/s0219525902000602","type":"journal-article","created":{"date-parts":[[2002,11,7]],"date-time":"2002-11-07T10:45:39Z","timestamp":1036665939000},"page":"103-246","source":"Crossref","is-referenced-by-count":119,"title":["CELLULAR AUTOMATA AND LATTICE BOLTZMANN TECHNIQUES: AN APPROACH TO MODEL AND SIMULATE COMPLEX SYSTEMS"],"prefix":"10.1142","volume":"05","author":[{"given":"BASTIEN","family":"CHOPARD","sequence":"first","affiliation":[{"name":"Computer Science Department, University of Geneva,  24 rue General-Dufour, 1211 Geneva 4, Switzerland"}]},{"given":"ALEXANDRE","family":"DUPUIS","sequence":"additional","affiliation":[{"name":"Computer Science Department, University of Geneva,  24 rue General-Dufour, 1211 Geneva 4, Switzerland"}]},{"given":"ALEXANDRE","family":"MASSELOT","sequence":"additional","affiliation":[{"name":"Computer Science Department, University of Geneva,  24 rue General-Dufour, 1211 Geneva 4, Switzerland"}]},{"given":"PASCAL","family":"LUTHI","sequence":"additional","affiliation":[{"name":"Computer Science Department, University of Geneva,  24 rue General-Dufour, 1211 Geneva 4, Switzerland"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1029\/93GL00473"},{"key":"p_2","doi-asserted-by":"crossref","first-page":"2249","DOI":"10.1103\/PhysRevB.47.2983","volume":"47","author":"Alexander F.","year":"1993","journal-title":"Phys. Rev."},{"issue":"139","key":"p_4","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1017\/S0022143000034948","volume":"41","author":"Bahr D.","year":"1995","journal-title":"Glaciology"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.1890"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1109\/5.317081"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.94.511"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1996.0063"},{"key":"p_14","first-page":"4137","volume":"55","author":"Boghosian B.","year":"1997","journal-title":"Phys. Rev."},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1007\/BF01341751"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1016\/0370-1573(95)00080-1"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(91)90231-9"},{"key":"p_19","first-page":"3331","volume":"24","author":"Brito R.","year":"1991","journal-title":"J. Phys."},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1063\/1.1711368"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9429(1999)125:5(511)"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1063\/1.1744102"},{"key":"p_24","first-page":"1169","volume":"303","author":"Calvin P.","year":"1986","journal-title":"II"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.45.R5339"},{"key":"p_26","first-page":"72","volume":"47","author":"Chen S.","year":"1991","journal-title":"Physica"},{"key":"p_29","first-page":"2776","volume":"50","author":"Chen Y.","year":"1994","journal-title":"Phys. Rev."},{"key":"p_30","first-page":"1671","volume":"23","author":"Chopard B.","year":"1990","journal-title":"J. Phys."},{"key":"p_31","first-page":"205","volume":"21","author":"Chopard B.","year":"1987","journal-title":"J. Phys."},{"key":"p_32","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(88)90042-4"},{"key":"p_34","first-page":"157","volume":"199","author":"Chopard B.","journal-title":"World Scientific"},{"key":"p_35","first-page":"153","volume":"199","author":"Chopard B.","journal-title":"Singapore"},{"key":"p_36","first-page":"47","volume":"5","author":"Chopard B.","year":"1994","journal-title":"Mod. Phys."},{"key":"p_37","doi-asserted-by":"publisher","DOI":"10.1038\/353409a0"},{"key":"p_38","doi-asserted-by":"publisher","DOI":"10.1007\/BF02188680"},{"key":"p_39","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.72.1384"},{"key":"p_40","first-page":"251","volume":"144","author":"Chopard B.","year":"1997","journal-title":"Propagation"},{"key":"p_41","first-page":"2325","volume":"29","author":"Chopard B.","year":"1996","journal-title":"J. Phys."},{"key":"p_42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.1845"},{"key":"p_44","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.44.4826"},{"key":"p_45","doi-asserted-by":"publisher","DOI":"10.1016\/0378-4371(92)90276-V"},{"key":"p_46","first-page":"L1063","volume":"20","author":"Cornille H.","year":"1987","journal-title":"J. Phys."},{"key":"p_47","doi-asserted-by":"publisher","DOI":"10.1051\/jp1:1997110"},{"key":"p_48","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.57.275"},{"key":"p_49","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/2\/4\/006"},{"key":"p_52","first-page":"3718","volume":"51","author":"D\u2019Ortona U.","year":"1995","journal-title":"Phys. Rev."},{"key":"p_53","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.69.1629"},{"key":"p_55","doi-asserted-by":"publisher","DOI":"10.1063\/1.462450"},{"key":"p_59","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2002.7025"},{"key":"p_60","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.31.3812"},{"key":"p_63","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2001.6764"},{"key":"p_64","first-page":"23","volume":"1","author":"Fisch R.","year":"1991","journal-title":"Computing"},{"key":"p_65","first-page":"4247","volume":"47","author":"Flekkoy E.","year":"1993","journal-title":"Phys. Rev."},{"key":"p_66","first-page":"649","volume":"1","author":"Frisch U.","year":"1987","journal-title":"Complex Systems"},{"key":"p_67","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.56.1505"},{"key":"p_68","doi-asserted-by":"publisher","DOI":"10.1007\/BF01027314"},{"key":"p_69","doi-asserted-by":"publisher","DOI":"10.1007\/s100510050410"},{"key":"p_70","doi-asserted-by":"publisher","DOI":"10.1016\/0008-8846(90)90101-3"},{"key":"p_71","doi-asserted-by":"publisher","DOI":"10.1038\/scientificamerican1070-120"},{"key":"p_72","doi-asserted-by":"publisher","DOI":"10.2307\/2154679"},{"key":"p_73","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.68.1077"},{"key":"p_74","doi-asserted-by":"publisher","DOI":"10.1063\/1.858769"},{"key":"p_75","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.71.4198"},{"key":"p_76","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.43.4320"},{"key":"p_78","first-page":"046308","volume":"65","author":"Guo Z.","year":"2002","journal-title":"Phys. Rev."},{"key":"p_79","doi-asserted-by":"publisher","DOI":"10.1023\/B:JOSS.0000015179.12689.e4"},{"key":"p_80","first-page":"R6333","volume":"55","author":"He X.","year":"1997","journal-title":"Phys. Rev."},{"key":"p_83","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/9\/7\/009"},{"key":"p_84","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/9\/4\/008"},{"key":"p_86","doi-asserted-by":"publisher","DOI":"10.1007\/BF01341756"},{"key":"p_87","first-page":"151","volume":"6","author":"Hou S.","year":"1996","journal-title":"Fields Institute Communications"},{"key":"p_88","first-page":"1329","volume":"25","author":"Hrgovci\u0107 H. J.","year":"1991","journal-title":"J. Phys."},{"key":"p_89","doi-asserted-by":"publisher","DOI":"10.1063\/1.868766"},{"key":"p_91","first-page":"1592","volume":"33","author":"Jablczynski K.","year":"1923","journal-title":"Bull. Soc. Chim. France"},{"key":"p_94","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.40.4527"},{"key":"p_97","first-page":"30","volume":"78","author":"Karapiperis T.","year":"1994","journal-title":"Physica"},{"key":"p_98","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.6"},{"key":"p_100","doi-asserted-by":"publisher","DOI":"10.1007\/BF00657635"},{"key":"p_101","doi-asserted-by":"publisher","DOI":"10.1137\/1034001"},{"key":"p_102","first-page":"308","volume":"197","author":"Kjeldsen S.","journal-title":"Iceland"},{"key":"p_103","first-page":"1","volume":"24","author":"Kobayashi D.","year":"1972","journal-title":"Low Temperature Science Series A"},{"issue":"7","key":"p_104","first-page":"1002","volume":"11","author":"K\u00fcrner T.","year":"1993","journal-title":"Communications"},{"key":"p_105","first-page":"6546","volume":"61","author":"Lallemand P.","year":"2000","journal-title":"Phys. Rev."},{"issue":"2","key":"p_106","first-page":"2219","volume":"62","author":"Lin C.-L.","year":"2000","journal-title":"Phys. Rev."},{"key":"p_109","first-page":"151","volume":"118","author":"Luthi P. O.","year":"1998","journal-title":"Physica"},{"key":"p_110","doi-asserted-by":"crossref","first-page":"3111","DOI":"10.1103\/PhysRevB.55.13088","volume":"55","author":"Luthi P. O.","year":"1997","journal-title":"Phys. Rev."},{"key":"p_115","first-page":"743","volume":"53","author":"Martis N.","year":"1996","journal-title":"Phys. Rev."},{"key":"p_117","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i1998-00239-3"},{"key":"p_119","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8522(55)90076-3"},{"key":"p_120","doi-asserted-by":"publisher","DOI":"10.1007\/BF01520193"},{"key":"p_121","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.61.2332"},{"key":"p_122","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1999.6334"},{"key":"p_123","doi-asserted-by":"publisher","DOI":"10.1007\/BF01341765"},{"key":"p_125","doi-asserted-by":"publisher","DOI":"10.1016\/0378-4371(93)90006-P"},{"key":"p_126","doi-asserted-by":"publisher","DOI":"10.1051\/jp1:1992277"},{"key":"p_127","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.42.7187"},{"key":"p_129","doi-asserted-by":"publisher","DOI":"10.1007\/BF01341755"},{"key":"p_130","first-page":"6861","volume":"58","author":"Nie X.","year":"1998","journal-title":"Phys. Rev."},{"key":"p_131","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.56.1691"},{"key":"p_133","doi-asserted-by":"publisher","DOI":"10.1126\/science.261.5118.189"},{"key":"p_134","doi-asserted-by":"crossref","first-page":"R1796","DOI":"10.1103\/PhysRevB.49.4646","volume":"49","author":"Peng G.","year":"1994","journal-title":"Phys. Rev."},{"key":"p_135","doi-asserted-by":"crossref","first-page":"R4124","DOI":"10.1103\/PhysRevA.58.2034","volume":"58","author":"Peng G.","year":"1998","journal-title":"Phys. Rev."},{"key":"p_136","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevB.59.3599","volume":"59","author":"Peng G.","year":"1999","journal-title":"Phys. Rev."},{"key":"p_140","doi-asserted-by":"publisher","DOI":"10.1063\/1.1742871"},{"key":"p_142","doi-asserted-by":"publisher","DOI":"10.1007\/BF03026614"},{"key":"p_143","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/17\/6\/001"},{"key":"p_144","first-page":"195","volume":"199","author":"Qian Y.","journal-title":"World Scientific"},{"key":"p_145","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.79.2742"},{"key":"p_146","doi-asserted-by":"publisher","DOI":"10.1126\/science.259.5099.1282"},{"key":"p_147","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i1998-00143-x"},{"key":"p_148","first-page":"138","volume":"57","author":"Rey P.","year":"1998","journal-title":"Phys. Rev."},{"key":"p_149","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.75.160"},{"key":"p_151","doi-asserted-by":"publisher","DOI":"10.1038\/scientificamerican1082-136"},{"key":"p_153","doi-asserted-by":"publisher","DOI":"10.1007\/BF01019743"},{"key":"p_154","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.66.1417"},{"key":"p_156","first-page":"L679","volume":"26","author":"Schadschneider A.","year":"1993","journal-title":"J. Phys."},{"key":"p_157","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(79)90042-0"},{"key":"p_158","doi-asserted-by":"crossref","first-page":"2939","DOI":"10.1103\/PhysRevA.51.2939","volume":"51","author":"Schreckenberg M.","year":"1995","journal-title":"Phys. Rev."},{"key":"p_159","doi-asserted-by":"publisher","DOI":"10.1111\/j.1432-1033.1968.tb00175.x"},{"key":"p_160","first-page":"2941","volume":"49","author":"Shan X.","year":"1994","journal-title":"Phys. Rev."},{"key":"p_162","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2"},{"key":"p_163","doi-asserted-by":"publisher","DOI":"10.1063\/1.448012"},{"key":"p_164","first-page":"88","volume":"270","author":"Stewart I.","year":"1994","journal-title":"Scientific American"},{"key":"p_166","doi-asserted-by":"publisher","DOI":"10.1007\/BF02179964"},{"key":"p_167","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.43.4521"},{"key":"p_168","doi-asserted-by":"crossref","first-page":"5051","DOI":"10.1103\/PhysRevB.54.5051","volume":"54","author":"Swift M.","year":"1996","journal-title":"Phys. Rev."},{"key":"p_170","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.40.428"},{"key":"p_173","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.1952.0012"},{"key":"p_174","first-page":"264","volume":"2","author":"Ulam S.","year":"1952","journal-title":"Proc. Int. Congr. Math."},{"key":"p_175","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/17\/8\/009"},{"key":"p_176","first-page":"96","volume":"10","author":"Vichniac G.","year":"1984","journal-title":"Physica"},{"key":"p_178","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i1998-00448-8"},{"key":"p_179","first-page":"65","volume":"71","author":"Weiss G.","year":"1983","journal-title":"American Scientist"},{"key":"p_181","first-page":"115","volume":"47","author":"Wells J.","year":"1991","journal-title":"Physica"},{"key":"p_183","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.27.5686"},{"key":"p_187","doi-asserted-by":"publisher","DOI":"10.1007\/BF01021083"},{"key":"p_190","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.63.3609"},{"key":"p_191","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.40.1539"},{"key":"p_192","first-page":"869","volume":"6","author":"Zeldovitch Y.","year":"1962","journal-title":"Sov. Phys. Dokl."},{"key":"p_193","first-page":"3727","volume":"24","author":"Ziff R.","year":"1991","journal-title":"J. Phys."},{"key":"p_194","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.56.2553"},{"key":"p_195","doi-asserted-by":"publisher","DOI":"10.1007\/BF02179966"}],"container-title":["Advances in Complex Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219525902000602","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T04:54:28Z","timestamp":1565153668000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219525902000602"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,6]]},"references-count":134,"journal-issue":{"issue":"02n03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2002,6]]}},"alternative-id":["10.1142\/S0219525902000602"],"URL":"https:\/\/doi.org\/10.1142\/s0219525902000602","relation":{},"ISSN":["0219-5259","1793-6802"],"issn-type":[{"value":"0219-5259","type":"print"},{"value":"1793-6802","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,6]]}}}