Table Of Content7765tpCast.indd 1 3/25/10 5:02:09 PM
TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk
World Scientific
7765tpCast.indd 2 3/25/10 5:02:10 PM
Published by
World Scientific Publishing Co. Pte. Ltd.
5 Toh Tuck Link, Singapore 596224
USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601
UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
NEW TRENDS IN STATISTICAL PHYSICS
Festschrift in Honor of Leopoldo García-Colín’s 80th Birthday
Copyright © 2010 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means,
electronic or mechanical, including photocopying, recording or any information storage and retrieval
system now known or to be invented, without written permission from the Publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright
Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to
photocopy is not required from the publisher.
ISBN-13 978-981-4307-53-6
ISBN-10 981-4307-53-X
Printed in Singapore.
Julia - New Trends in Statistical Phys.pmd 1 3/15/2010, 1:54 PM
February26,2010 15:35 WorldScienti(cid:12)cReviewVolume-9inx6in master
Preface
Friends, colleagues, and former students of Leopoldo Garc(cid:19)(cid:16)a-Col(cid:19)(cid:16)n con-
tributed to this volume to celebrate and express to him our respect, ad-
miration, and a(cid:11)ection on the occasion of his 80th birthday. We want
to celebrate, with this book, his scienti(cid:12)c and scholarly achievements, the
inspirational quality of his teaching, his graciousness as a colleague, his
thoughtful guidance of graduated students, his service to the department,
the university and the physics community at large, his open, courteous,
easy accessibility to anyone needing his counsel or expertise.
LeopoldoGarc(cid:19)(cid:16)a-Col(cid:19)(cid:16)nhasworkedin manydi(cid:11)erent (cid:12)elds of statistical
physics,andhasappliedittobiologicalphysics,solidstatephysics,relativ-
ity and cosmology. This book contains original and peer-reviewed articles
from his friends, colleagues, and former students, and represents a unique
collection of papers on statistical physics and related subjects.
We would like to express our gratitude to everyonewho contributed to
this homage volume.
This endeavor could not have been realized without the (cid:12)nancial sup-
port of Dr. Jos(cid:19)e Lema{Labadie, President of the Universidad Auto(cid:19)noma
Metropolitana, and Dr. Oscar Monroy{Hermosillo, Rector of the campus
Iztapalapa of the same university, we thank very grateful them for spon-
soring this international and multidisciplinary endeavor.
We hope that this volume will serve to foster the impressive growth of
statistical physics in our region, and additionally to reinforce the already
existingstrongtiesbetweenMexicanscientistsandtheircolleaguesinother
parts of the world.
Alfredo Mac(cid:19)(cid:16)as and Leonardo Dagdug
v
February26,2010 15:35 WorldScienti(cid:12)cReviewVolume-9inx6in master
vi Preface
Leopoldo S. Garc(cid:19)(cid:16)a{Col(cid:19)(cid:16)n
LeopoldoGarca{ColinSchererwasborninMexicoCityon27thNovem-
ber,1930. HereceivedhisB.Sc. inChemistryfromtheNationalUniversity
ofM(cid:19)exico(UNAM)in1953. Histhesisdealtwiththethermodynamicprop-
ertiesofD andHD aspartofaprojectwhoseleaderwasoneofMexicos’s
2
foremost scientist, Alejandro Medina. He obtained his Ph.D. at the Uni-
versity of Maryland in 1959 under Elliott Montroll’s supervision. There,
he began his dedicated career as a teacher and researcher and started an
importantresearchprogramonthebroadareaofStatisticalMechanics,Ki-
neticTheory,IrreversibleThermodynamics,CriticalPhenomena,Chemical
Physics, and other related subjects. Prof. Garcia{Colin has been recog-
nized as the founder of Statistical Physics research in Mexico.
Upon his return to Mexico in 1960 he faced the very hard duty of con-
structing totally new research groups in those (cid:12)elds of Sciences cultivated
by him. This was an exhausting task, demanding time, e(cid:11)ort, and an
insight in the development of high level Educative Institutions, and Gov-
ernmentLaboratorieswith asolidscienti(cid:12)cbasis. The(cid:12)rsttaskwastoop-
timizethe scienti(cid:12)cformationofscientists,mixingthe selectionandprepa-
ration of students, with a program of graduate studies outside M(cid:19)exico in
February26,2010 15:35 WorldScienti(cid:12)cReviewVolume-9inx6in master
Preface vii
selectedplacesabroad,includinguniversitiesoftheUnitedStates,England,
Holland, Germany, Belgium, etc. The role of Garc(cid:19)(cid:16)a{Col(cid:19)(cid:16)n was essential
through his personal scienti(cid:12)c relations, since through their disposition of
accepting the supervision of post{graduated students they contributed to
the enhancement of Statistical Mechanics in Mexico.
His researchinterests encompass many areasof Physics and Chemical{
Physics,likestatisticalphysicsofnon-equilibriumsystems,non{linearirre-
versible thermodynamics, kinetic theory of gases and plasmas, phase tran-
sitions, non{linear hydrodynamics, and glass transition. He is author of
more than 240 research papers, 60 on popular science, 17 books dealing
with thermodynamics, statistical mechanics, non{equilibrium phenomena,
and quantum mechanics. His textbook on Classical Thermodynamics is
well known in Spanish speaking countries.
Along many years, beside the (cid:12)elds previously mentioned, his scien-
ti(cid:12)c interests have spurred important incursions into protein folding and
transport theory in Astrophysics and Cosmology, Air Pollution Problems,
SciencePolicy,andEducationalResearch. Hehasmaintainedacontinuous
correspondencewithmanyscientistsandtravelsfrequentallovertheworld.
He is an active member of various prestigious International Societies, like
the Third World Academy of Sciences, for instance, since 1988.
Hehasbeenanenthusiasticsupporterforbookediting,andconferences
organization, such as the well known Mexican Meeting on Mathematical
andExperimentalPhysics,whichstartedin2001andisalreadyinitsfourth
edition.
He was founder and Professor of Physics of the Escuela Superior de
F(cid:19)(cid:16)sicay Matema(cid:19)ticasatthe National PolytechnicalInstitute (IPN) (1960{
1963). Subsequently, he went to the Universidad Auto(cid:19)noma de Puebla
(1964{1966),and then to the Sciences Faculty of the UNAM (1967{1984).
He was researcher at the National Institute for Nuclear Research (ININ)
(1966{1967), and thereafter he became Head of the Processes Basic Re-
search Section at Mexican Petroleum Institute (1967{1974). In 1974, he
started the Department of Physics and Chemistry at UAM{Iztapalapa as
Head(1974{1978). Since1988heisNationalResearcher,levelIII,andnow,
additionally, National Emeritus Researcherand Distinguished Professorat
UAM{Iztapalpa.
Among his extra{academic activities Professor Garc(cid:19)(cid:16)a{Col(cid:19)(cid:16)nwas vice{
presidentandlaterPresidentof the MexicanPhysicalSociety. He isanac-
tivememberoftheAmericanPhysicalSociety,oftheAmericanAssociation
for Physics Teachers,of the Mexican Academy of Sciences, of the Mexican
February26,2010 15:35 WorldScienti(cid:12)cReviewVolume-9inx6in master
viii Preface
Chemical Society, and of the American Association for the Advancement
of Science, among others. His work has been recognized through several
honors and awards, among them the Physics Award form the University
of Maryland (1956{1957), the Prize in Exact Sciences of awarded by the
now Mexican Academy of Sciences (1965), and the Merit Medal from the
UniversidadAuto(cid:19)nomadePuebla(1965). HeheldthevanderWaalsChair
attheUniversityofAmsterdam,Holland(1976),andreceivedtheNational
PrizeofSciencesandArtsfromthemexicangovernment(1988),tomention
the signi(cid:12)cative ones.
Professor Leopoldo Garc(cid:19)(cid:16)a{Col(cid:19)(cid:16)n became member of El Colegio Na-
cional in 1977. His opening talk: Modern Ideas on Liquid{Gas Transition,
was answered by ProfessorMarcos Moshinsky.
His scienti(cid:12)c and teaching career has been also recognized by degrees
of Doctor Honoris Causa by Universidad Iberoamericana (1991), by the
University of Puebla (1995), and by the National University of M(cid:19)exico
(2006). In 2007 Professor Garc(cid:19)(cid:16)a{Col(cid:19)(cid:16)n became Emeritus Professor at
UAM{Iztapalapa.
February26,2010 15:35 WorldScienti(cid:12)cReviewVolume-9inx6in master
Contents
Preface v
Statistical Physics and Related Subjects 1
1. Canonical and Grand{Canonical Ensembles for Trapped
Bose Gases 3
A. Camacho, A. Mac(cid:19)(cid:16)as and A. Camacho{Galva(cid:19)n
2. Shockwaves and Local Hydrodynamics; Failure of the
Navier-Stokes Equations 15
Wm.G. Hoover and C.G. Hoover
3. Nonequilibrium Stationary Solutions of Thermostated
Boltzmann Equation in a Field 27
F. Bonetto and J.L. Lebowitz
4. Propagationof Light in Complex Fluids: Embedded
Solitons in Liquid Crystals 37
R.F. Rodr(cid:19)(cid:16)guez and J. Fujioka
5. Hall Fluctuation Relations for a Charged Brownian Particle 57
J.I. Jim(cid:19)enez-Aquino, R.M. Velasco and F.J. Uribe
ix
