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Series Analysis of Randomly Diluted Nonlinear Networks with Negative Nonlinearity Exponent
University of Pennsylvania ScholarlyCommons Department of Physics Papers Department of Physics 9-1-1987 Series Analysis of Randomly Diluted Nonlinear Networks With Negative Nonlinearity Exponent Yigal Meir Raphael Blumenfeld A. Brooks Harris University of Pennsylvania, [email protected] Amnon Aharony Follow this and additional works at: https://repository.upenn.edu/physics_papers Part of the Physics Commons Recommended Citation Meir, Y., Blumenfeld, R., Harris, A., & Aharony, A. (1987). Series Analysis of Randomly Diluted Nonlinear Networks With Negative Nonlinearity Exponent. Physical Review B, 36 (7), 3950-3952. http://dx.doi.org/ 10.1103/PhysRevB.36.3950 At the time of publication, author A. Brooks Harris was affiliated withel T Aviv University, Tel Aviv, Israel. Currently, he is a faculty member in the Physics Department at the University of Pennsylvania. This paper is posted at ScholarlyCommons. https://repository.upenn.edu/physics_papers/306 For more information, please contact [email protected]. Series Analysis of Randomly Diluted Nonlinear Networks With Negative Nonlinearity Exponent Abstract The behavior of randomly diluted networks of nonlinear resistors, for each of which the voltage-current relationship is |V|=r|I|α, where α is negative, is studied using low-concentration series expansions on d-dimensional hypercubic lattices. The average nonlinear resistance ⟨R⟩ between a pair of points on the same cluster, a distance r apart, scales as rζ(α)/ν, where ν is the correlation-length exponent for percolation, and we have estimated ζ(α) in the range −1≤α≤0 for 1≤d≤6. ζ(α) is discontinuous at α=0 but, for α<0, ζ(α) is shown to vary continuously from ζmax, which describes the scaling of the maximal self-avoiding-walk length (for α→0−), to ζBB, which describes the scaling of the backbone (at α=−1). -
New Beginnings
NEW BEGINNINGS A three-year report of Eklavya Foundation 2001-2004 NEW BEGINNINGS A three vi'ar report of the Ikb\\a I ouruiatinn fJQOl Jun/j i We gratffulli a. k now ledpc tor Design. IOVLM illu-itMtion & le<if motif: Urijii Moh.mly. IDC. NT F'OVM^I, Murnbai Sketches Mrm.r.wmi 1 ^td Ravnuird & AntdM HjzanK.i Murnhni ic This honor, uy piojoU Inciu'.ti i.il D ,icjn C^ntif, MF P'j\\-ii. Mun.h.ii Eklavya Foundation H(Hji'.U>u>rJ Vu itMy No S l *n I ) H U--H .-/> 1 lh.' 1 ' 1 -- Mi'qiM(M(KlUtfic" H .' i. .VKM!. W.M U..lhi , O'uj ' ' ".." i " ' AM (l(.jt|.|ir In | U.'.-v.i i" 't!|i l-i, mi*, i.j, ,M.-t ,"H.'I.. :i ] J,)I)M 1- * ' 1 >' ' l I ; v'lil- '-! i i- ' .. ii i'. .i J /()(.)/ [ '! .'11" ',-,* ? ;i' ! \ i i i I)' .'. )! _>f [ ^h Jciiuuirv <?Ol)S '.'Jon uj l ontnhutoiy put i <-, sn Published In Eklavya L / Hir,-1',^ Arer.u olony Phone 0755 246 3380, 246 4824 - Fax: 0755 246 1 703 Email eklavyampfj'mantrdfteenet corn Printed at ' Bhanclan Otis*.". Pnnti-rs Arfj v.n!c>nv Bliou.u P ( iont- /-it; i Contents The dismantling oKwiMon People's voices Report of cK-tiviLies(;OOl Foreword In this report we share with you a truly momentous leg of our long journey Two events impacted significantly on the structure and work of Eklavya. One was the closure of our collaborative middle school educational programmes by the Madhya Pradesh government in July 2002 The second was the bifurcation of Eklavya into two autonomous units - a 'school education and publication' group and a'rural development'group.The latter was registered as a new society on August 1 1, 2003 as the Samavesh Society for Development and Governance. -
Vita and Publications ◊ December 23, 2004 ◊ 12
BENOIT B. MANDELBROT VITA AND PUBLICATIONS ◊ DECEMBER 23, 2004 ◊ 12 RESEARCH PUBLICATIONS OTHER THAN BOOKS 1951 1 www AS & K FE4. M 1951. Adaptation d'un message sur la ligne de transmission, I & II. Comptes Rendus (Paris): 232, 1638-1640 & 2003-2005. 1952 2 M 1952. Sur la notion générale d'information et la durée intrinsèque d'une stratégie. Comptes Rendus (Paris): 234, 1346- 1348. 3 M 1952. Les démons de Maxwell. Comptes Rendus (Paris): 234, 1842-1844. 1953 4 M 1953t. Contribution à la théorie mathématique des jeux de communication (Ph.D. Thesis). Publications de l'Institut de Statistique de l'Université de Paris: 2, 1-124. 5 M 1953i. An informational theory of the statistical structure of language. Communication Theory, the Second London Symposium. Edited by Willis Jackson. London: Butterworth; New York: Academic, 486-504. 1954 6 M 1954w. Structure formelle des textes et communication (deux études). Word: 10, 1-27. • Corrections: Word: 11, 1955, 424. • English translation by Anthony G. Oettinger: The formal structure of texts and communication (two studies): Cambridge, MA, Harvard Computation Laboratory, 1955. • Czech translation: Komunikace a formalni struktura textu. Teorie informace a jazykoveda (=Information theory and linguistics), an anthology edited by Lubomir Dolozel. Prague: Press of the Czechoslovak Academy of Sciences, 1964, 130-150. • Excerpt: Le Langage, anthologie dirigée par Robert Pagès. Paris: Hachette, 1959, 55-57. • Summary: Information sans interprétation dans la description des langues réelles. Synthèse: 11, 1959, 160-161. 7 M 1954. Simple games of strategy occurring in communication through natural languages. Transactions of the IRE Professional Group on Information Theory: 3, 124-137. -
International Advisory Committee R
International Advisory Committee R Balasubramanian, The Institute of Mathematical Sciences, Chennai, India Srikumar Banerjee, Bhabha Atomic Research Centre, Mumbai, India Mustansir Barma, Tata Institute of Fundamental Research, Mumbai, India Carl M Bender, University of Washington, St Louis, USA Emanuela Caliceti, University of Bologna, Italy Deepak Dhar, Tata Institute of Fundamental Research, Mumbai, India Hendrik B Geyer, University of Stellenbosch, South Africa Sanjay Jain, University of Delhi, India S Kailas, Bhabha Atomic Research Centre, Mumbai, India P K Kaw, Institute of Plasma Research, Gandhinagar, India Narendra Kumar, Raman Research Institute, Bangalore, India Ali Mostafazadeh, Koc University, Turkey A Raychaudhuri, Harish-Chandra Research Institute, Jhunsi, India V C Sahni, Bhabha Atomic Research Centre, Mumbai, India Bikash C Sinha, Variable Energy Cyclotron Centre, Kolkata, India J V Yakhmi, Bhabha Atomic Research Centre, Mumbai, India Miloslav Znojil, Nuclear Physics Institute, Czech Republic Organizing Committee R K Choudhury, Bhabha Atomic Research Centre, Mumbai (Chairman) Sudhir R Jain, Bhabha Atomic Research Centre, Mumbai (Convener) Zafar Ahmed, Bhabha Atomic Research Centre, Mumbai (Co-convener) Bijan K Bagchi, Calcutta University, Kolkata Ambar Chatterjee, Bhabha Atomic Research Centre, Mumbai Richard D'Souza, Bhabha Atomic Research Centre, Mumbai Swapan K Ghosh, Bhabha Atomic Research Centre, Mumbai B N Jagatap, Bhabha Atomic Research Centre, Mumbai Avinash Khare, Institute of Physics, Bhubaneswar Ramesh Koul, Bhabha Atomic Research Centre, Mumbai S V G Menon, Bhabha Atomic Research Centre, Mumbai Ajit K Mohanty, Bhabha Atomic Research Centre, Mumbai R R Puri, Bhabha Atomic Research Centre, Mumbai R Roychowdhury, Indian Statistical Institute, Kolkata R Simon, The Institute of Mathematical Sciences, Chennai Vijay A Singh, Homi Bhabha Centre for Science Education, Mumbai A G Wagh, Bhabha Atomic Research Centre, Mumbai. -
Arxiv:2108.09998V1 [Cond-Mat.Mtrl-Sci] 23 Aug 2021
Theory of Chirality Induced Spin Selectivity: Progress and Challenges Ferdinand Evers,1, ∗ Amnon Aharony,2 Nir Bar-Gill,3 Ora Entin-Wohlman,4 Per Hedeg˚ard,5 Oded Hod,6 Pavel Jelinek,7 Grzegorz Kamieniarz,8 Mikhail Lemeshko,9 Karen Michaeli,10 Vladimiro Mujica,11 Ron Naaman,12 Yossi Paltiel,3 Sivan Refaely-Abramson,13 Oren Tal,12 Jos Thijssen,14 Michael Thoss,15 Jan M. van Ruitenbeek,16 Latha Venkataraman,17 David H. Waldeck,18 Binghai Yan,10 and Leeor Kronik13, y 1Institute of Theoretical Physics, University of Regensburg, 93040 Regensburg, Germany 2School of Physics and Astronomy, Tel Aviv University, Tel Aviv 6997801, Israel 3Department of Applied Physics, Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem 9190401, Israel 4Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 6997801, Israel 5Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark 6Department of Physical Chemistry, School of Chemistry, The Raymond and Beverly Sackler Faculty of Exact Sciences and The Sackler Center for Computational Molecular and Materials Science, Tel Aviv University, Tel Aviv 6997801, Israel 7Nanosurf Lab, Institute of Physics of the Czech Academy of Sciences, Prague 6, CZ 162 00, Czech Republic 8Department of Physics, Adam Mickiewicz University, Pozna´n61-614, Poland 9IST Austria (Institute of Science and Technology Austria), Am Campus 1, 3400 Klosterneuburg, Austria 10Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovoth 7610001, Israel 11School of Molecular Sciences, Arizona State University, Tempe, AZ 85287-1604, USA 12Department of Chemical and Biological Physics, Weizmann Institute of Science, Rehovoth 76100, Israel 13Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovoth 76100, Israel 143 Kavli Institute of Nanoscience Delft, Delft University of Technology, Lorentzweg 1, Delft, 2628 CJ The Netherlands 15Institute of Physics, University of Freiburg, Hermann-Herder-Str. -
Introduction to Percolation Theory
Introduction to Percolation Theory Introduction to Percolation Theory Revised Second Edition Dietrich Stauffer and Amnon Aharony This edition published in the Taylor & Francis e-Library, 2010. To purchase your own copy of this or any of Taylor & Francis or Routledge’s collection of thousands of eBooks please go to www.eBookstore.tandf.co.uk. UK Taylor & Francis Ltd, 1 Gunpowder Square, London EC4A 3DE. USA Taylor & Francis Inc, 325 Chestnut Street, 8th Floor, Philadelphia, PA 19106 1st edition copyright © Dietrich Stauffer 1985 2nd edition copyright © Dietrich Stauffer and Amnon Aharony 1991 Revised 2nd edition 1994 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, electrostatic, magnetic tape, mechanical, photo- copying, recording or otherwise, without the prior permission of the copyright owner. British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Library of Congress Cataloging in Publication Data is available Cover design by Amanda Barragry ISBN 0-203-21159-6 Master e-book ISBN ISBN 0-203-26914-4 (Adobe ebook Reader Format) ISBN 0 7484 0027 3 (Print Edition) Contents Preface to the Second Edition viii P reface to the First Edition ix 1 Introduction: Forest Fires, Fractal Oil Fields, and Diffusion 1 1.1 What is percolation? 1 1.2 Forest fires 4 1.3 Oil fields and fractals 8 1.4 Diffusion in disordered media 10 1.5 Coming attractions 12 Further reading 13 2 Cluster Numbers -
Tata Institute of Fundamental Research Prof
Annual Report 1988-89 Tata Institute of Fundamental Research Prof. M. G. K. Menon inaugurating the Pelletron Accelerator Facility at TIFR on December 30, 1988. Dr. S. S. Kapoor, Project Director, Pelletron Accelerator Facility, explaining salient features of \ Ion source to Prof. M. G. K. Menon, Dr. M. R. Srinivasan, and others. Annual Report 1988-89 Contents Council of Management 3 School of Physics 19 Homi Bhabha Centre for Science Education 80 Theoretical Physics l'j Honorary Fellows 3 Theoretical A strophysics 24 Astronomy 2') Basic Dental Research Unit 83 Gravitation 37 A wards and Distinctions 4 Cosmic Ray and Space Physics 38 Experimental High Energy Physics 41 Publications, Colloquia, Lectures, Seminars etc. 85 Introduction 5 Nuclear and Atomic Physics 43 Condensed Matter Physics 52 Chemical Physics 58 Obituaries 118 Faculty 9 Hydrology M Physics of Semi-Conductors and Solid State Electronics 64 Group Committees 10 Molecular Biology o5 Computer Science 71 Administration. Engineering Energy Research 7b and Auxiliary Services 12 Facilities 77 School of Mathematics 13 Library 79 Tata Institute of Fundamental Research Homi Bhabha Road. Colaba. Bombav 400005. India. Edited by J.D. hloor Published by Registrar. Tata Institute of Fundamental Research Homi Bhabha Road, Colaba. Bombay 400 005 Printed bv S.C. Nad'kar at TATA PRESS Limited. Bombay 400 025 Photo Credits Front Cover: Bharat Upadhyay Inside: Bharat Upadhyay & R.A. A chary a Design and Layout by M.M. Vajifdar and J.D. hloor Council of Management Honorary Fellows Shri J.R.D. Tata (Chairman) Prof. H. Alfven Chairman. Tata Sons Limited Prof. S. Chandrasekhar Prof. -
Annual Report
THE INSTITUTE OF MATHEMATICAL SCIENCES C. I. T. Campus, Taramani, Chennai - 600 113. ANNUAL REPORT Apr 2003 - Mar 2004 Telegram: MATSCIENCE Fax: +91-44-2254 1586 Telephone: +91-44-2254 2398, 2254 1856, 2254 2588, 2254 1049, 2254 2050 e-mail: offi[email protected] ii Foreword I am pleased to present the progress made by the Institute during 2003-2004 in its many sub-disciplines and note the distinctive achievements of the members of the Institute. As usual, 2003-2004 was an academically productive year in terms of scientific publications and scientific meetings. The Institute conducted the “Fifth SERC School on the Physics of Disordered Systems”; a two day meeting on “Operator Algebras” and the “third IMSc Update Meeting: Automata and Verification”. The Institute co-sponsored the conference on “Geometry Inspired by Physics”; the “Confer- ence in Analytic Number Theory”; the fifth “International Conference on General Relativity and Cosmology” held at Cochin and the discussion meeting on “Field-theoretic aspects of gravity-IV” held at Pelling, Sikkim. The Institute faculty participated in full strength in the AMS conference in Bangalore. The NBHM Nurture Programme, The Subhashis Nag Memorial Lecture and The Institute Seminar Week have become an annual feature. This year’s Nag Memorial Lecture was delivered by Prof. Ashoke Sen from the Harish-Chandra Research Institute, Allahabad. The Institute has also participated in several national and international collaborative projects: the project on “Automata and concurrency: Syntactic methods for verification”, the joint project of IMSc, C-DAC and DST to bring out CD-ROMS on “The life and works of Srini- vasa Ramanujan”, the Xth plan project “Indian Lattice Gauge Theory Initiative (ILGTI)”, the “India-based neutrino observatory” project, the DRDO project on “Novel materials for applications in molecular electronics and energy storage devices” the DFG-INSA project on “The spectral theory of Schr¨odinger operators”, and the Indo-US project on “Studies in quantum statistics”. -
CMPCS Brochure
International Conference on Recent Advances in Condensed Matter Physics and Complex Systems 30 October to 1 November, 2017 Savitribai Phule Pune University (Formerly Known as University of Pune) Pune - 411007, India About The Conference List of Invited Speakers The conference aims to bring together R. E. Amritkar, IITRAM, Ahmedabad M. Lakshmanan, Bd University, Tiruchirappalli researchers in the broad areas of Condensed Serge Aubry*, CEA, Saclay, France Priya Mahadevan, S.N. Bose NCBS, Kolkata Matter Physics and Complex Systems to Pushan Ayyub, TIFR, Mumbai Sourav Pal, IIT, Mumbai deliver talks, discuss and exchange new ideas Mustansir Barma, TIFR TCIS, Hyderabad Ravindra Pandey, Michigan Tech. University, USA on recent advances in these elds. The confer- G. Baskaran, IMSc, Chennai Prasanta K. Panigrahi, IISER, Kolkata ence will feature talks by leading experts and J. K. Bhattacharjee, HRI, Allahabad K. Porsezian*, Pondicherry University eminent personalities on a wide variety of Subhash Chaturvedi, IISER, Bhopal Sanjay Puri, JNU, Delhi topics including Density Functional theory, G. P. Das, IACS, Kolkata S. Ramasesha, IISc, Bengaluru Electronic structure and application to Atomic, Molecular and Condensed Matter Chandan Dasgupta, IISc, Bengaluru Ram Ramaswamy, JNU, Delhi Physics, Nano-scale Physics , Superconductiv- Deepak Dhar, IISER, Pune Pratap Raychaudhuri, TIFR, Mumbai ity, Bose-Einstein Condensation, Statistical Sergej Flach, IBS, South Korea Biplab Sanyal, Uppsala University, Sweden Physics, Complex Systems, Non-Linear Shridhar R. Gadre, IIT, Kanpur D. D. Sarma, IISc, Bengaluru Dynamical equations and their applications in Swapan. K. Ghosh, BARC, Mumbai Prasenjit Sen*, HRI, Allahabad physical and biological systems, etc. We hope Neelima M. Gupte, IIT, Chennai R. Shankar, IMSc, Chennai that the conference will provide an opportu- Manoj K. -
Phase Diagrams for the Randomly Diluted Resistor Network and XY Model
University of Pennsylvania ScholarlyCommons Department of Physics Papers Department of Physics 10-1-1989 Phase Diagrams for the Randomly Diluted Resistor Network and XY Model A. Brooks Harris University of Pennsylvania, [email protected] Amnon Aharony Follow this and additional works at: https://repository.upenn.edu/physics_papers Part of the Physics Commons Recommended Citation Harris, A., & Aharony, A. (1989). Phase Diagrams for the Randomly Diluted Resistor Network and XY Model. Physical Review B, 40 (10), 7230-7238. http://dx.doi.org/10.1103/PhysRevB.40.7230 This paper is posted at ScholarlyCommons. https://repository.upenn.edu/physics_papers/300 For more information, please contact [email protected]. Phase Diagrams for the Randomly Diluted Resistor Network and XY Model Abstract The randomly diluted resistor network and XY model at low temperature T are studied near the d-dimensional percolation threshold using the ɛ expansion, where ɛ=6-d. The series expansion of the inverse susceptibility in powers of T for the XY model is identical to that of the appropriate resistive −1 inverse susceptibility in powers of σ0 , where σ0 is the conductance of a bond. However, the temperature-dependent critical concentration pc(T) for the XY model has no analog in the resistor network, where pc clearly does not depend on σ0. This distinction arises from a rather subtle difference between the Fourier component representation of the Gaussian model for the resistor network and that of the bounded potential energy associated with the XY model. We introduce a family of models which provides a smooth interpolation between these two models and show that the phase boundary for the XY model satisfies certain simple self-consistency checks involving other susceptibilities. -
2019-20-English
The Institute of Mathematical Sciences Annual Report & Audited Statement of Accounts 1 March 2019- April 2020 The Institute of Mathematical Sciences Chennai Annual Report and Audited Statement of Accounts April 2019 - March 2020 Telephone: +91-44-2254 3100, 2254 1856 Website: https://www.imsc.res.in/ Fax: +91-44-2254 1586 DID No.: +91-44-2254 3xxx(xxx=extension) 2 Director’s Note Director’s Note I am happy to present the annual report of the Institute for 2019-2020 and put forth the distinctive achievements of its members during the year along with a perspective for the future. During the period April 2019 - March 2020, there were 144 students pursuing their PhD and 42 scholars pursuing their post-doctoral programme at IMSc. Spread through this period, the Institute organized or co-sponsored several workshops and conferences. The First IMSc discussion meeting on extreme QCD matter held during September 16 - 21, 2019 brought together senior scientists to deliver a set of pedagogic lectures on the current state-of-the-art, open problems and challenges in the area of hot and dense QCD matter. The annual meeting of the International Pulsar Timing Array (IPTA) was organized during June 10 - 21, 2019 by its Indian arm, of which IMSc is a part. An NCM sponsored workshop on Combinatorial Models for Representation Theory was organised in IMSc during November 4 - 16, 2019 and saw active participation from Ph.D students and postdocs from across the country. An ACM-India Summer School on Graphs and Graph Algorithms and a meeting on Recent Trends in Algorithms were both organised during the year. -
Arxiv:2102.01527V5 [Physics.Soc-Ph] 8 Apr 2021
Limiting Value of the Kolkata Index for Social Inequality and a Possible Social Constant Asim Ghosh1, ∗ and Bikas K Chakrabarti2, 3, 4, † 1Raghunathpur College, Raghunathpur, Purulia 723133, India. 2Saha Institute of Nuclear Physics, Kolkata 700064, India. 3Economic Research Unit, Indian Statistical Institute, Kolkata 700108, India. 4S. N. Bose National Centre for Basic Sciences, Kolkata 700106, India Based on some analytic structural properties of the Gini and Kolkata indices for social inequality, as obtained from a generic form of the Lorenz function, we make a conjecture that the limiting (effective saturation) value of the above-mentioned indices is about 0.865. This, together with some more new observations on the citation statistics of individual authors (including Nobel laureates), suggests that about 14% of people or papers or social conflicts tend to earn or attract or cause about 86% of wealth or citations or deaths respectively in very competitive situations in markets, universities or wars. This is a modified form of the (more than a) century old 80 − 20 law of Pareto in economy (not visible today because of various welfare and other strategies) and gives an universal value (0.86) of social (inequality) constant or number. I. INTRODUCTION Unlike the universal constants in physical sciences, like the Gravitational Constant of Newton’s Gravity law, Boltzmann Constant of thermodynamics or Planck’s Constant of Quantum Mechanics, there is no established universal constant yet in social sciences. There have of course been suggestion of several possible candidates. Stanley Milgram’s experiment [1] to determine the social ‘contact-distance’ between any two per- sons of the society, by trying to deliver letters from and to random people through personal chains of friends or acquaintances, suggested ‘Six Degrees of Separation’.