Table Of ContentDEVELOPMENTS IN
MATHEMATICAL AND
EXPERIMENTAL PHYSICS
Volume B: Statistical Physics and Beyond
DEVELOPMENTS IN
MATHEMATICAL AND
EXPERIMENTAL PHYSICS
Volume B: Statistical Physics and Beyond
Edited by
Alfredo Macias,
Francisco Uribe, and
Enrique Diaz
Universidad Autonoma Metropolitana-htapalapa
Mexico City, Mexico
Springer Science+Business Media, LLC
Proceedings of the First Mexican Meeting on Mathematical and Experimental Physics, held September
10-14, 2001, in Mexico City, Mexico
ISBN 978-1-4613-4965-5 ISBN 978-1-4615-0207-4 (eBook)
DOI 10.1007/978-1-4615-0207-4
©2003 Springer Science+Business Media New York
Originally published by Kluwer Academic/Plenum Publishers, New York in 2003
Softcover reprint of the hardcover 1st edition 2003
http://www.wkap.com
10 9 8 7 6 5 4 3 21
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No part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any
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This book is dedicated to the 70th birthday of Leopoldo Garcia-CoHn
and to the 80th birthday of Nicholas van Kampen
Contributing Authors
• O. Alarc6n-Waess
Departamento de Ffsica y Matematicas, UDLA, Puebla,
Santa Catarina Martir, Cholu1a 72820 Puebla, Mexico.
• Jose Luis Arauz-Lara
Instituto de Ffsica "Manuel Sandoval Vallarta", Universidad Aut6noma
de San Luis Potosi,
Alvaro Obreg6n 64, 78000 San Luis Potosi, SLP, Mexico.
• J. F. J. Alvarado
Chemical Engineering Department, Instituto Tecnologico de Celaya,
Celaya, Guanajuato, 38010 Mexico.
• E. Avalos
Departamento de Fisica, Universidad Aut6noma Metropolitana
Av. San Rafael Atlixco 186, Col. Vicentina, Iztapalapa, Mexico,
D.F., 09340 Mexico.
• Ruben G. Barrera
Instituto de Ffsica, Universidad Nacional Aut6noma de Mexico,
Apartado Postal 20-364, 01000 Mexico D. F., Mexico.
• Ana Laura Benavides
Instituto de Ffsica, Universidad de Guanajuato,
Loon, Guanajuato, Mexico.
• J. F. Camacho
Instituto de Fisica, Universidad Nacional Aut6noma de Mexico,
Apdo. Postal 20-364, 01000 Mexico, D.F., Mexico.
• M. D. C arbaj al-Tinoco
Depto. de Fisica, CINVESTAV-IPN,
Av. IPN 2508, Col. San Pedro Zacatenco, 07360 Mexico D. F.,
Mexico.
• R. Castaiieda-Priego
Depto. de Ffsica, CINVESTAV-IPN,
Av. IPN 2508, Col. San Pedro Zacatenco, 07360 Mexico D. F.,
Mexico.
• F. del Rio
Departamento de Ffsica, Universidad Aut6noma Metropolitana
vii
viii VOLUME B: STATISTICAL PHYSICS AND BEYOND
Av. San Raf~l Atlixco 186, Col. Vicentina, Iztapalapa, Mexico,
D.F., 09340 Mexico.
• Andres F. Estrada-Alexanders
Departamento de Ffsica, Universidad Aut6noma Metropolitana
Av. San Rafael Atlixco 186, Col. Vicentina, Iztapalapa, Mexico,
D.F., 09340 Mexico.
• P. Gonzalez-Mozuelos
Depto. de Ffsica, CINVESTAV-IPN,
Av. IPN 2508, Col. San Pedro Zacatenco, 07360 Mexico D. F.,
Mexico.
• Augusto Garda-Valenzuela
Centro de Instrumentos, Universidad Nacional Aut6noma de Mexico,
Apartado Postal 70-18, 04510 Mexico D. F., Mexico.
• Alejandro Gil-Villegas
Instituto de Ffsica, Universidad de Guanajuato,
LOOn, Guanajuato, Mexico.
• L. L. Goncalves
Departamento de Ffsica, Universidade Federal do Ceara, Campus
do Pici,
C. P. 6030, 60451-970, Fortaleza, Ceara, Brazil.
• Christian Gorba
Max Planck Institute of Biophysics,
Kennedyallee 70, 60596 Frankfurt, Germany.
• E. Haro-Poniatowski
Universidad Aut6noma Metropolitana Iztapalapa, Departamento
de Ffsica,
Apdo postal 55-534, Col. Vicentina, 09340 Mexico D.F., Mexico.
• Volkhard Helms
Max Planck Institute of Biophysics, Kennedyallee 70,
60596 Frankfurt, Germany.
• M. Hernandez-Contreras
Departamento de Ffsica, Centro de Investigaci6n y Estudios Av an
zados del Instituto Politecnico Nacional
A.P. 14-740, Mexico D.F., Mexico.
• J. Hernandez-Rosas
Universidad Aut6noma Metropolitana Iztapalapa, Departamento
ix
de Ffsica,
Apdo postal 55-534, Col. Vicentina, 09340 Mexico D.F., Mexico.
• Niza Ibarra-Avalos
Instituto de Ffsica, Universidad de Guanajuato,
Loon, Guanajuato, Mexico.
• J. I. Jimenez-Aquino
Departamento de Ffsica, Universidad Aut6noma Metropolitana,
Iztapalapa
Apdo. Postal 55-534, Mexico, D. F., 09340 Mexico.
• M. Jouanne
Universite Pierre et Marie Curie, LMDH, UMR 7603
4 Place J ussieu, 75252 Paris Cedex 05, France.
• Daimler Justo
Departamento de Ffsica, Universidad Aut6noma Metropolitana
Av. San Rafael Atlixco 186, Col. Vicentina, Iztapalapa, Mexico,
D.F., 09340, Mexico.
• M. Kanehisa
U niversite Pierre et Marie Curie, LMDH, UMR 7603
4 Place J ussieu, 75252 Paris Cedex 05, France.
• Markus Lill
Max Planck Institute of Biophysics, Kennedyallee 70,
60596 Frankfurt, Germany.
• M. L6pez de Haro
Centro de Investigaci6n en Energia, U.N. A.M.
Apdo. Postal 34, Temixco, Mor. 62580, Mexico.
• G. Luna-Barcenas
Laboratorio de Investigaci6n en Materiales, CINVESTAV Unidad
Queretaro, Queretaro, 76230 Mexico.
• Antonio Martinez-Richa
Facultad de Quimica, Universidad de Guanajuato,
Guanajuato, Guanajuato, Mexico.
• Jose L. Mateos
Instituto de Ffsica, Universidad Nacional Aut6noma de Mexico,
Apartado Postal 20-364, 01000 Mexico, D.F., Mexico.
x VOLUME B: STATISTICAL PHYSICS AND BEYOND
• M. Mayorga
Facultad de Ciencias, Universidad Autonoma del Estado de Mexico
Av. Instituto Literario 100, Toluca, 50000 Mexico.
• J. M. Mendez-Alcaraz
Depto. de Ffsica, CINVESTAV-IPN,
Av. IPN 2508, Col. San Pedro Zacatenco, 07360 Mexico D. F.,
Mexico.
• J. F. Morhange
Universite Pierre et Marie Curie, LMDH, UMR 7603
4 Place Jussieu, 75252 Paris Cedex 05, France.
• C. Ortfz-Estrada
Chemical Engineering Department, Instituto Tecnologico de Celaya,
Celaya, Guanajuato, 38010 Mexico.
• Michel Picquart
Universidad Autonoma Metropolitana Iztapalapa, Departamento
de Fisica,
Apdo postal 55-534, Col. Vicentina, 09340 Mexico D.F., Mexico.
• G. Ramfrez-Santiago
Instituto de Ffsica, UNAM, PO Box 20-364, Mexico 01000 D. F.,
Mexico,
Chemical Engineering Department, The University of Texas at
Austin, Austin TX 78712 USA.
• Angeles Ramirez-Saito
Instituto de FIsica "Manuel Sandoval Vallarta", Universidad Autonoma
de San Luis PotosI,
Alvaro Obregon 64, 78000 San Luis Potosf, SLP, Mexico.
• R. F. Rodrfguez
Instituto de Ffsica, Universidad Nacional Autonoma de Mexico,
Apdo. Postal 20-364, 01000 Mexico, D.F., Mexico.
• A. Rodriguez-Lopez
Depto. de Fisica, CINVESTAV-IPN,
Av. IPN 2508, Col. San Pedro Zacatenco, 07360 Mexico D. F.,
Mexico.
• M. Romero-Bastida
Departamento de FIsica, Universidad Autonoma Metropolitana,
Iztapalapa
Apdo. Postal 55-534, Mexico, D. F. 09340 Mexico.
xi
• Vfctor Romero-Rochfn
Instituto de Ffsica, Universidad Nacional Aut6noma de Mexico.
Apartado Postal 20-364, 01000 Mexico, D.F, Mexico.
• Subir Sachdev
Department of Physics, Yale University,
P.O. Box 208120, New Haven CT 06520-8120, USA.
• I. C. Sanchez
Chemical Engineering Department,
The University of Texas at Austin, Austin TX 78712 USA.
• J. Tagiieiia-Martinez
Centro de Investigaci6n en Energia, U.N. A.M.
Apdo. Postal 34, Temixco, Mor. 62580, Mexico.
• Paul H.E. Tiesinga
Sloan-Swartz Center for Theoretical Neurobiology and Computional
Neurobiology Lab, Salk Institute
10010 N. Torrey Pines Rd, La Jolla, CA 92037, USA.
• A. P. Vieira
Instituto de Ffsica, Departamento de Ffsica Geral Universidade de
Sao Paulo
C.P. 66318, 05315-970, Sao Paulo, SP, Brazil.
xiii
Preface
The FIRST MEXICAN MEETING ON MATHEMATICAL AND EXPERI
MENTAL PHYSICS was held at EL COLEGIO NACIONAL in Mexico City,
Mexico, from September 10 to 14, 2001. This event consisted of the
LEOPOLDO GARciA-COLIN SCHERER Medal Lecture, delivered by Prof.
Nicholas G. van Kampen, a series of plenary talks by Leopoldo Garcia
CoHn, GUnter Nimtz, Luis F. Rodriguez, Ruoon Barrera, and Donald
Saari, and of three parallel symposia, namely, Cosmology and Gravita
tion, Statistical Physics and Beyond, and Hydrodynamics and Dynam
ical Systems. The response from the Physics community was enthusi
astic, with over 200 participants and around 80 speakers, from all over
the world: USA, Canada, Mexico, Germany, France, Holland, United
Kingdom, Switzerland, Spain, and Hungary.
The main aim of the conference is to provide a scenario to Mexican
researchers on the topics of Mathematical and Experimental Physics in
order to keep them in contact with work going on in other parts of the
world and at the same time to motivate and support the young and mid
career researchers from our country. To achieve this goal, we decided to
invite as lecturers the most distinguished experts in the subjects of the
conference and to give the opportunity to young scientist to communi
cate the results of their work. The plan is to celebrate this international
endeavor every three years.
The most outstanding researcher at Universidad Autonoma Metropoli
tana is Leopoldo Garda-CoHn. His devotion to science and high level
of energy and enthusiasm that he brings to his research and teaching
are very much appreciated by his students and collaborators. Therefore,
the Universidad Aut6noma Metropolitana (UAM) instituted in 2001 the
Leopoldo Garda-Colfn Medal, which will be awarded every three years.
The medal is given in his honor regarded as one of the greatest mexican
physicist of the 20th century and a Distinguished Professor of our U ni
versity. The Leopoldo Garda-Colfn Medal award recognizes outstanding
scientists, in the developing and advanced countries, who have made
outstanding contributions to theoretical physics. It is the highest recog
nition accorded by the UAM for excellence in scientific research to whom
has significantly contributed to the advancement of science. The main
goal of this award is to promote the academic activities at UAM by
means of the wisdom of the medal winners.
