CURRICULUM VITAE David Kelly Campbell
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New Mathematics for Old Physics: the Case of Lattice Fluids Anouk Barberousse, Cyrille Imbert
New mathematics for old physics: The case of lattice fluids Anouk Barberousse, Cyrille Imbert To cite this version: Anouk Barberousse, Cyrille Imbert. New mathematics for old physics: The case of lattice fluids. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, Elsevier, 2013, 44 (3), pp.231-241. 10.1016/j.shpsb.2013.03.003. halshs-00791435 HAL Id: halshs-00791435 https://halshs.archives-ouvertes.fr/halshs-00791435 Submitted on 2 Sep 2021 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. New Mathematics for Old Physics: The Case of Lattice Fluids AnoukBarberousse & CyrilleImbert ·Abstract We analyze the effects of the introduction of new mathematical tools on an old branch of physics by focusing on lattice fluids, which are cellular automata (CA)-based hydrodynamical models. We examine the nature of these discrete models, the type of novelty they bring about within scientific practice and the role they play in the field of fluid dynamics. We critically analyze Rohrlich', Keller's and Hughes' claims about CA-based models. We distinguish between different senses of the predicates “phenomenological” and “theoretical” for scientific models and argue that it is erroneous to conclude, as they do, that CA-based models are necessarily phenomenological in any sense of the term. -
Complete Programme Brochure
CAMTP ”Let’s Face Chaos through Nonlinear Dynamics” 6th International Summer School/Conference I VE R N ZA U at the University of Maribor V U M R AR I B O 26 June - 10 July 2005 Dedicated to the 75th Birthday of Professor Siegfried Großmann Maribor Slovenia 1 Table of Contents Foreword 2 Programme Schedule 4 Cultural, Social and Touristic Events 6 Organizing Committee 8 Invited Lecturers and Speakers 9 Abstracts of Invited Lectures 18 List of Participants 84 Abstracts of Short Reports 90 Abstracts of Posters 102 Sponsors 121 2 Foreword The series of by now traditional international Summer Schools/Conferences ”Let’s Face Chaos through Non- linear Dynamics” began in the year 1993 on the initiative of a group of undergraduate students of the various faculties at the University of Ljubljana, under the leadership of Mrs. Maja Malus, a student of electrical en- gineering at the time (now a medical doctor at Harvard), under the scientific guidance of Professors Marko Robnik, Aneta Stefanovska and Igor Grabec. Since 1996 the Schools/Conferences are held exclusively at the University of Maribor, under the organization of CAMTP - Center for Applied Mathematics and Theoretical Physics, every three years. The 6th School/Conference is the largest, according to the number of invited lec- turers (46), whilst it is second largest as to the number of other participants (about 62), and also according to the richness of the scientific and cultural programme, which you can see in the following pages of this Book of Programme. The character of our Schools/Conferences is strongly international, we have invited lecturers and participants from all over the world, from all continents, and the national component of the Slovenian participants in total (invitees and others) does not exceed 10%. -
The Design of "Living" Biomech Machines: How Low Can One Go?
The Design of "Living" Biomech Machines: How low can one go? VBUG 1.5 "WALKMAN" Single battery. 0.7Kg. metal/plastic construction. Unibody frame. 5 tactile, 2 visual sensors. Control Core: 8 transistor Nv. 4 tran. Nu, 22 tran. motor. Total: 32 transistors. Behaviors: - High speed walking convergence. - powerful enviro. adaptive abilities - strong, accurate phototaxis. - 3 gaits; stop, walk, dig. - backup/explore ability. Mark W. Tilden Physics Division, Los Alamos National Laboratory <[email protected]> 505/667-2902 July, 1997 "So... what you guys have done is find a way to get useful work out of non-linear dynamics?" - Dr. Bob Shelton, NASA. Abstract Following three years of study into experimental Nervous Net (Nv) control devices, various successes and several amusing failures have implied some general principles on the nature of capable control systems for autonomous machines and perhaps, we conjecture, even biological organisms. These systems are minimal, elegant, and, depending upon their implementation in a "creature" structure, astonishingly robust. Their only problem seems to be that as they are collections of non-linear asynchronous elements, only a very complex analysis can adequately extract and explain the emergent competency of their operation. On the other hand, this could imply a cheap, self-programing engineering technology for autonomous machines capable of performing unattended work for years at a time, on earth and in space. Discussion, background and examples are given. Introduction to Biomorphic Design A Biomorphic robot (from the Greek for "of a living form") is a self-contained mechanical device fashioned on the assumption that chaotic reaction, not predictive forward modeling, is appropriate and sufficient for sustained "survival" in unspecified and unstructured environments. -
Book of Abstracts
BOOK OF ABSTRACTS THE TENTH IMACS INTERNATIONAL CONFERENCE ON NONLINEAR EVOLUTION EQUATIONS AND WAVE PHENOMENA: COMPUTATION AND THEORY Athens, Georgia March 29 - April 01, 2017 Sponsored by The International Association for Mathematics and Computers in Simulation (IMACS) The Computer Science Department, U GA Edited by: Thiab Taha Sponsors Keynote Speakers International Association for Mathematics Gino Biondini: Singular Asymptotics for and Computers in Simulation (IMACS) Nonlinear Waves" Computer Science Department at UGA Nathan Kutz: Data-driven Discovery of Nonlinear Wave Equations" Thierry Colin: A hierarchy of nonlinear models for tumor growth and clinical applications" Conference Organization R. Vichnevetsky (USA), Honorary President of IMACS, Honorary Chair T. Taha (USA), General Chair & Conference Coordinator J. Bona (USA), Co-chair Scientific Program Committee Mark Ablowitz (USA) Willy Hereman (USA) Nail Akhmediev(Australia) Alex Himonas (USA) David Amrbrose (USA) Mat Johnson (USA) Stephen Anco(Canada) Pedro Jordan (USA) Andrea Barreiro(USA) Nalini Joshi(Australia) Gino Biondini (USA) Kenji Kajiwara(Japan) Lorena Bociu (USA) Henrik Kalisch (Norway) Jerry Bona (USA) David Kaup (USA) Robert Buckingham (USA) Panayotis Kevrekidis (USA) Annalisa Calini (USA) Alexander Korotkevic (USA) Ricardo Carretero (USA) Gregor Kovacic (USA) Mathieu Colin (France) Stephane Lafortune (USA) Thierry Colin (France) Yuri Latushkin (USA) John Carter (USA) Zhiwu Lin (USA) Min Chen (USA) Yue Liu (USA) Ming Chen (USA) Andrei Ludu (USA) Demetrios Christodoulides -
11. Cellular Automata
11. Cellular automata [Gould-Tobochnik 15, Tapio Rantala’s notes; http://www.wolframscience.com/; http://www.stephenwolfram.com/publications/books/ca- reprint/contents.html] Basics of Monte Carlo simulations, Kai Nordlund 2006 JJ J I II × 1 11.1. Basics Cellular automata (“soluautomaatit’ in Finnish) were invented and first used by von Neumann and Ulam in 1948 to study reproduction in biology. They called the basic objects in the system cells due to the biological analogy, which lead to the name “cellular automaton”. • Nowadays cellular automata are used in many other fields of science as well, including physics and engineering, so the name is somewhat misleading. • The basic objects used in the models can be called both “sites” or “cells”, which usually mean exactly the same thing. • The basic idea in cellular automata is to form a discrete “universe” with its own (discrete) set of rules and time determining how it behaves. – Following the evolution of this, often highly simplified, universe, then hopefully enables better understanding of our own. 11.1.1. Formal definition A more formal definition can be stated as follows. Basics of Monte Carlo simulations, Kai Nordlund 2006 JJ J I II × 2 1◦ There is a discrete, finite site space G 2◦ There is a discrete number of states each site can have P 3◦ Time is discrete, and each new site state at time t + 1 is determined from the system state G (t) 4◦ The new state at t + 1 for each site depends only on the state at t of sites in a local neighbourhood of sites V 5◦ There is a rule f which determines the new state based on the old one To make this more concrete, I’ll give examples of some common values of the quantities. -
• KUDOS for CHAOS "Highly Entertaining ... a Startling
• KUDOS FOR CHAOS "Highly entertaining ... a startling look at newly discovered universal laws" —Chicago Tribune Book World "I was caught up and swept along by the flow of this astonishing chronicle of scientific thought. It has been a long, long time since I finished a book and immediately started reading it all over again for sheer pleasure." —Lewis Thomas, author of Lives of a Cell "Chaos is a book that deserves to be read, for it chronicles the birth of a new scientific technique that may someday be important." —The Nation "Gleick's Chaos is not only enthralling and precise, but full of beautifully strange and strangely beautiful ideas." —Douglas Hofstadter, author of Godel, Escher, Bach "Taut and exciting ... it is a fascinating illustration of how the pattern of science changes." —The New York Times Book Review "Admirably portrays the cutting edge of thought" —Los Angeles Times "This is a stunning work, a deeply exciting subject in the hands of a first-rate science writer. The implications of the research James Gleick sets forth are breathtaking." —Barry Lopez, author of Arctic Dreams "An ambitious and largely successful popular science book that deserves wide readership" — Chicago Sun-Times "There is a teleological grandeur about this new math that gives the imagination wings." —Vogue "It is a splendid introduction. Not only does it explain accurately and skillfully the fundamentals of chaos theory, but it also sketches the theory's colorful history, with entertaining anecdotes about its pioneers and provocative asides about the philosophy of science and mathematics." —The Boston Sunday Globe PENGUIN BOOKS CHAOS James Gleick was born in New York City and lives there with his wife, Cynthia Crossen. -
Annual Report for the Fiscal Year Julyl, 1984 -June 30, 1985
The Institute for Advanced Study Annual Report 1984/85 The Institute for Advanced Study Annual Report for the Fiscal Year Julyl, 1984 -June 30, 1985 HISTtffilCAl STUDIES- SOCIAL SCIENCE UBRARY THE INSTITUTE FOR ADVANCED STUDY PRINCETON. NEW JERSEY 08540 The Institute for Advanced Study Olden Lane Princeton, New Jersey 08540 U.S.A. Printed by Princeton University Press Originally designed by Bruce Campbell 9^^ It is fundamental to our purpose, and our Extract from the letter addressed by the express desire, that in the appointments to the Founders to the Institute's Trustees, staff and faculty, as well as in the admission dated June 6, 1930, Newark, New Jersey. of workers and students, no account shall he taken, directly or indirectly, of race, religion or sex. We feel strongly that the spirit characteristic of America at its noblest, above all, the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard wliatever to accidents of race, creed or sex. 9^'^Z^ Table of Contents Trustees and Officers 9 Administration 10 The Institute for Advanced Study: Background and Purpose 11 Report of the Chairman 13 Report of the Director 15 Reports of the Schools 21 School of Historical Studies 23 School of Mathematics 35 School of Natural Sciences 45 School of Social Science 59 Record of Events, 1984-85 67 Report of the Treasurer 91 Donors 102 Founders Caroline Bamberger Fuld Louis Bamberger Board of Trustees John F. Akers Ralph E. -
A Bibliography of Publications of Stanis Law M. Ulam
A Bibliography of Publications of Stanislaw M. Ulam Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 17 March 2021 Version 2.56 Abstract This bibliography records publications of Stanis law Ulam (1909–1984). Title word cross-reference $17.50 [Bir77]. $49.95 [B´ar04]. $5.00 [GM61]. α [OVPL15]. -Fermi [OVPL15]. 150 [GM61]. 1949 [Ano51]. 1961 [Ano62]. 1963 [UdvB+64]. 1970 [CFK71]. 1971 [Ula71b]. 1974 [Hua76]. 1977 [Kar77]. 1979 [Bud79]. 1984 [DKU85]. 2000 [Gle02]. 20th [Cip00]. 25th [Ano05]. 49.95 [B´ar04]. 1 2 60-year-old [Ano15]. 7342-438 [Ula71b]. ’79 [Bud79]. Abbildungen [MU31, SU34b, SU34a, SU35a, Ula34, Ula33a]. Abelian [MU30]. Abelsche [MU30]. Above [Mar87]. abstract [Ula30c, Ula39b, Ula78d]. abstrakten [Ula30c]. accelerated [WU64]. Accelerates [Gon96b]. Adam [Gle02]. Adaptive [Hol62]. additive [BU42, Ula30c]. Advances [Ano62, Ula78d]. Adventures [Met76, Ula76a, Ula87d, Ula91a, Bir77, Wil76]. Aerospace [UdvB+64]. ago [PZHC09]. Alamos [DKU85, MOR76a, HPR14, BU90, Ula91b]. Albert [RR82]. algebra [BU78, CU44, EU45b, EU46, Gar01a, TWHM81]. Algebraic [Bud79, SU73]. Algebras [BU75, BU76, EU50d]. Algorithm [JML13]. Algorithms [Cip00]. allgemeinen [Ula30d]. America [FB69]. American [UdvB+64, Gon96a, TWHM81]. Analogies [BU90]. analogy [Ula81c, Ula86]. Analysis [Goa87, JML13, RB12, Ula49, Ula64a, Jun01]. Andrzej [Ula47b]. anecdotal [Ula82c]. Annual [Ano05]. any [OU38a, Ula38b]. applicability [Ula69b]. application [EU50d, LU34]. Applications [Ula56b, Ula56a, Ula81a]. Applied [GM61, MOR76b, TWHM81, Ula67b]. appreciation [Gol99]. Approach [BPP18, Ula42]. -
META'17 Incheon
META’17 Incheon - Korea The 8th International Conference on Metamaterials, Photonic Crystals and Plasmonics Program July 25 – 28, 2017 Incheon, Korea metaconferences.org .metaconferences.org META’17 Incheon - Korea The 8th International Conference on Metamaterials, Photonic Crystals and Plasmonics Please share your comments, photos & videos ! www.facebook.com/metaconference @metaconference Edited by Said Zouhdi | Paris-Sud University, France Junsuk Rho | POSTECH, Korea Hakjoo Lee | CAMM, Korea CONTENTS META’17 ORGANIZATION ........................................ 5 PLENARY SPEAKERS ........................................... 7 KEYNOTE SPEAKERS ........................................... 12 META’17 VENUE ............................................... 14 GUIDELINES FOR PRESENTERS ................................... 17 PRE-CONFERENCE TUTORIALS ................................... 18 TECHNICAL PROGRAM .......................................... 30 META’17 ORGANIZATION Said Zouhdi, General Chair Junsuk Rho, General Co-Chair Hakjoo Lee, General Co-Chair Paris–Sud University, France POSTECH, Korea CAMM, Korea INTERNATIONAL ADVISORY COMMITTEE Harry Atwater, USA Graeme W. Milton, USA Ari Sihvola, Finland Federico Capasso, USA Raj Mittra, USA David R. Smith, USA Andre de Lustrac, France Manuel Nieto-Vesperinas, Spain J(Yiannis) Vardaxoglou, UK Nader Engheta, USA Susumu Noda, Japan Martin Wegener, Germany Teruya Ishihara, Japan Masaya Notomi, Japan Xiang Zhang, USA Tatsuo Itoh, USA Yahya Rahmat-Samii, USA Nikolay Zheludev, UK Yuri Kivshar, Australia -
A Bibliography of Publications of Alan Mathison Turing
A Bibliography of Publications of Alan Mathison Turing Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 24 August 2021 Version 1.227 Abstract This bibliography records publications of Alan Mathison Turing (1912– 1954). Title word cross-reference 0(z) [Fef95]. $1 [Fis15, CAC14b]. 1 [PSS11, WWG12]. $139.99 [Ano20]. $16.95 [Sal12]. $16.96 [Kru05]. $17.95 [Hai16]. $19.99 [Jon17]. 2 [Fai10b]. $21.95 [Sal12]. $22.50 [LH83]. $24.00/$34 [Kru05]. $24.95 [Sal12, Ano04, Kru05]. $25.95 [KP02]. $26.95 [Kru05]. $29.95 [Ano20, CK12b]. 3 [Ano11c]. $54.00 [Kru05]. $69.95 [Kru05]. $75.00 [Jon17, Kru05]. $9.95 [CK02]. H [Wri16]. λ [Tur37a]. λ − K [Tur37c]. M [Wri16]. p [Tur37c]. × [Jon17]. -computably [Fai10b]. -conversion [Tur37c]. -D [WWG12]. -definability [Tur37a]. -function [Tur37c]. 1 2 . [Nic17]. Zycie˙ [Hod02b]. 0-19-825079-7 [Hod06a]. 0-19-825080-0 [Hod06a]. 0-19-853741-7 [Rus89]. 1 [Ano12g]. 1-84046-250-7 [CK02]. 100 [Ano20, FB17, Gin19]. 10011-4211 [Kru05]. 10th [Ano51]. 11th [Ano51]. 12th [Ano51]. 1942 [Tur42b]. 1945 [TDCKW84]. 1947 [CV13b, Tur47, Tur95a]. 1949 [Ano49]. 1950s [Ell19]. 1951 [Ano51]. 1988 [Man90]. 1995 [Fef99]. 2 [DH10]. 2.0 [Wat12o]. 20 [CV13b]. 2001 [Don01a]. 2002 [Wel02]. 2003 [Kov03]. 2004 [Pip04]. 2005 [Bro05]. 2006 [Mai06, Mai07]. 2008 [Wil10]. 2011 [Str11]. 2012 [Gol12]. 20th [Kru05]. 25th [TDCKW84]. -
The Development of Nonlinear Science£
The development of nonlinear science£ Alwyn Scott Department of Mathematics University of Arizona Tucson, Arizona USA August 11, 2005 Abstract Research activities in nonlinear science over the past three centuries are reviewed, paying particular attention to the explosive growth of interest in chaos, solitons, and reaction-diffusion phenomena that occurred during the 1970s and considering whether this explosion was an example of a “sci- entific revolution” or Gestalt-like “paradigm shift” as proposed by Thomas Kuhn in the 1962. The broad structure of modern nonlinear science is sketched and details of developments in several areas of nonlinear research are presented, including cosmology, theories of matter, quantum theory, chemistry and biochemistry, solid-state physics, electronics, optics, hydro- dynamics, geophysics, economics, biophysics and neuroscience. It is con- cluded that the emergence of modern nonlinear science as a collective in- terdisciplinary activity was a Kuhnian paradigm shift which has emerged from diverse areas of science in response to the steady growth of comput- ing power over the past four decades and the accumulation of knowledge about nonlinear methods, which eventually broke through the barriers of balkanization. Implications of these perspectives for twentyfirst-century research in biophysics and in neuroscience are discussed. PACS: 01.65.+g, 01.70.+w, 05.45.-a £ Copyright c 2005 by Alwyn C. Scott. All rights reserved. 1 Contents 1 Introduction 6 1.1 What is nonlinear science? ...................... 6 1.2 An explosion of activity . ...................... 10 1.3 What caused the changes? ...................... 12 1.4 Three trigger events .......................... 16 2 Fundamental phenomena of nonlinear science 18 2.1 Chaos theory . -
©2020 Chaitanya Borra All Rights Reserved
©2020 CHAITANYA BORRA ALL RIGHTS RESERVED DYNAMICS OF LARGE ARRAY MICRO/NANO RESONATORS A Dissertation Presented to The Graduate Faculty of The University of Akron In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy Chaitanya Borra May, 2020 DYNAMICS OF LARGE ARRAY MICRO/NANO RESONATORS Chaitanya Borra Dissertation Approved: Accepted: Advisor Department Chair D. Dane Quinn Sergio Felicelli Committee Member Dean of the College Graham Kelly Craig Menzemer Committee Member Dean of the Graduate School Ernian Pan Marnie Saunders Committee Member Date Patrick Wilber Committee Member Kwek Tze Tan ii ABSTRACT This work describes an analytical framework suitable for the analysis of large-scale arrays of coupled resonators, including those which feature amplitude and phase dy- namics, inherent element-level parameter variation, nonlinearity, and/or noise. In particular, this analysis allows for the consideration of coupled systems in which the number of individual resonators is large, extending as far as the continuum limit corresponding to an infinite number of resonators. Moreover, this framework per- mits analytical predictions for the amplitude and phase dynamics of such systems. The utility of this analytical methodology is explored through the analysis of a sys- tem of N non-identical resonators with global coupling, including both reactive and dissipative components, physically motivated by an electromagnetically-transduced microresonator array. In addition to the amplitude and phase dynamics, the behavior of the system as the number of resonators varies is investigated and the convergence of the discrete system to the infinite-N limit is characterized. The equilibrium obtained by the array of resonators may be unique if the behavior of many identical or slightly different resonators in the population is small, such equilibrium is also called mono-stable equilibrium.