Nonlinear phenomena in fluids, solids, and other complex systems : proceedings of the Second Latin American Workshop on Nonlinear Phenomena, Santiago, Chile, September 6-14, 1990

This book contains short courses in current topics in nonlinear physics given by distinguished professionals in their fields. These include: nonlinear fluid dynamics, transition to turbulence, quantum hall effect, cellular automata and neural networks, phase transitions. These courses are up to date and are aimed at a wide audience, in particular to graduate students and researchers in the field of nonlinear physics. Content: Front Matter , Page iii Copyright , Page iv PREFACE , Pages v-vi COMMITTEES , Page vii THERMAL TURBULENCE , Pages 3-18 , A. LIBCHABER, E. MOSES, X.Z. WU, G. ZOCCHI SCALING AND MULTISCALING (FRACTALS AND MULTIFRACTALS) , Pages 19-46 , Leo P KADANOFF WEAKLY NONLINEAR INTERACTIONS IN FLUID DYNAMICS , Pages 47-57 , Fernando Lund INTERFACE INSTABILITIES IN LIQUID CRYSTALS , Pages 59-70 , A.J. LIBCHABER, J.-M. FLESSELLES, A.J. SIMON Critical perturbation of Xe dynamics at high pressure , Pages 71-82 , L. Letamendia, J.L. Cabanié, C. Vaucamps, G. Nouchi ALMOST INTEGRABLE MAGNETIC FIELDS IN TOKAMAKS , Pages 83-94 , M.V.A.P. Heller, I.L. Caldas, M.C.R. Andrade ON STUDYING THE BRAIN AS AN ADAPTIVE DISORDERED SYSTEM , Pages 97-120 , M.A. VIRASORO RS MODEL FOR NEURAL NETWORKS , Pages 121-129 , J.J. ARENZON, R.M.C. de ALMEIDA, J.R. IGLESIAS THE EFFICIENCY OF HIGH ORDER NEURAL NETWORKS , Pages 131-137 , Patricio PEREZ, Ivan J. MATUS STUDY OF A SLOWLY COOLED SK SPIN GLASS , Pages 139-151 , M. Freixa Pascual ZEROS OF THE PARTITION FUNCTION IN THE REM MODEL , Pages 153-167 , Cristian MOUKARZEL, Nestor PARGA ONE-DIMENSIONAL SAND PILES, CELLULAR AUTOMATA AND RELATED MODELS , Pages 169-185 , Eric GOLES, Marcos KIWI FRACTURE PROPAGATION: FROM TIME TO ENSEMBLE AVERAGES AND BACK AGAIN , Pages 187-201 , J. LOMNITZ-ADLER, G. MARTINEZ-MEKLER, L. KNOPOFF NUMERICAL STUDY OF A GENERALIZED DOMANY-KINZEL PROBABILISTIC ONE-DIMENSIONAL CELLULAR AUTOMATON , Pages 203-216 , Hélio F. VERONA DE RESENDE, Marcelo L. MARTINS, Aglaé C.N. MAGALHÃTES, Constantino TSALLIS EQUILIBRIUM PROPERTIES OF A CELLULAR AUTOMATON FOR THERMOFLUID DYNAMICS , Pages 217-229 , A. SALCIDO, R. RECHTMAN DEGREE OF ULTRAMETRICITY OF FRACTAL SETS , Pages 231-240 , C.M. Arizmendi, A.H. Rizzo, J.R. Sanchez COMMENSURATE-INCOMMENSURATE TRANSITIONS AND AREA-PRESERVING MAPS : THE FRENKEL-KONTOROVA MODEL , Pages 243-265 , Robert B. GRIFFITHS ATOMIC AND ELECTRONIC STRUCTURE OF QUASICRYSTALS , Pages 267-297 , J.M. CABRERA-TRUJILLO, F. MEJÍA-URA, J.L. MORÁN-LÓPEZ UNIQUENESS AND DEGENERACY OF GROUND STATES FOR SOME QUANTUM SPIN CHAINS , Pages 299-311 , Bruno Nachtergaele EXACT VERSUS QUANTUM MONTE CARLO ANALYSIS OF THE GROUNDSTATE OF THE ONE-DIMENSIONAL HUBBARD MODEL FOR FINITE LATTICES , Pages 313-327 , Lidia BAAUNSTEIN, Roberto DEZA, Ana MI JOVILOVICH MAXIMUM ENTROPY FORMALISM APPLIED TO SOAP FROTHS , Pages 329-338 , J.R. IGLESIAS, Rita M.C. de ALMEIDA MULTISCALING STRUCTURE OF THE DENSITY OF STATES OF THE ISING HAMILTONIAN , Pages 339-349 , Patricio CORDERO SPIN-1 ISING FERROMAGNET IN A RANDOM CRYSTAL FIELD , Pages 351-359 , C.E.I. Carneiro, V.B. Henriques, M.N. Tamashiro, S.R. Salinas NOISE INDUCED TRANSITIONS IN A BIDIMENSIONAL BISTABLE POTENTIAL WELL , Pages 361-371 , E.S. HERNANDEZ PATH INTEGRAL APPROACH TO THE FOKKER-PLANCK EQUATION: AN IMPROVED NUMERICAL PROCEDURE , Pages 373-384 , G. ABRAMSON, H.S. WIO, L.D. SALEM MAXIMUM ENTROPY PRINCIPLE APPROACH TO THE DEGENERATE PARAMETRIC AMPLIFIER , Pages 385-393 , J. Aliaga, G. Crespo, A.N. Proto UNBOUNDED OPERATORS IN STATISTICAL MECHANICS , Pages 395-403 , DINO OTERO, VERONICA ZUNINO SPECTRAL CHARACTERISTICS OF THE NONLINEAR INTERACTION OF A BICROMATIC FIELD OF LIGHT WITH A TWO-LEVEL SYSTEM , Pages 405-416 , A. Marcano O., L. Aranguren, J.L. Paz, H.J. Franco, M.C. Salazar EFFECT OF A RESONANT PERIODIC PERTURBATION ON NONLINEAR PROCESSES , Pages 419-433 , Jaime RÖSSLER, Edmundo LAZO, Miguel KIWI FRACTAL STRUCTURE OF BOUNDARIES IN TWO BISTABLE SYSTEMS , Pages 435-446 , R. Bulajich, R. Pérez-Pascual CHAOS IN BILLIARDS OF NUCLEAR INTEREST , Pages 447-459 , A.J. FENDRIK, J.L. VEGA, C.O. DORSO., M. BERNATH. STABILITY OF THE COULOMB ORBITS FOR THE HYDROGEN ATOM. II , Pages 461-466 , S. BLANCO, A. COSTA, L. ROMANELLI NONLINEAR BEHAVIOUR IN A DRIPPING FAUCET , Pages 467-475 , H.N. Núñez-Yépez, C. Carbajal, A.L. Salas-Brito, C.A. Vargas, L. Vicente AUTHOR INDEX , Pages 477-478 SUBJECT INDEX , Pages 479-482