Physics of Living Systems Arun Paramekanti Associate Professor

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Physics of Living Systems Arun Paramekanti Associate Professor, Physics Reductionist viewpoint does not imply we can construct macroscale physics from knowledge of microscale physics Basis of condensed matter physics, complexity, physicists’ attempts to understand biological systems Marian Smoluchowski Ludwig Boltzmann Max Delbruck Erwin Schrodinger Dorothy Hodgkin Rosalind Franklin Francis Crick Physics and Biology Max Delbruck Among the earliest “biophysicists” who converted many physicists to studying problems of biological interest Nobel Prize in Medicine for work (with Salvador Luria) showing that immunity of bacteria to drugs is caused by random mutations rather than adaptation Ludwig Boltzmann Thermodynamics and statistical physics Atoms do exist Kinetic theory of gases Founder of statistical physics Randomness Marian Smoluchowski Albert Einstein Studied Brownian motion and provided a theoretical understanding of diffusion - a process of great biological importance as we will see Erwin Schrodinger Quantum Physics Theory of Quantum Mechanics (Nobel Prize, Physics) Author of an inﬂuential essay “What is Life?” inspired by Max Delbruck Dorothy Hodgkin Physics Tools [X-ray diffraction] Applied X-ray crystallography to study an amazing variety of biological molecules - Penicillin, Vitamin B12, Insulin (Nobel Prize in Chemistry) Rosalind Franklin Francis Crick Worked on the structure of DNA PERIODICITY Regular in time Regular in space Oscillations Embryogenesis RANDOMNESS Body Clocks Light and Sound Quantum mechanics Probability Chance Molecular Events Genetics Epidimiology Physics Tools Thermodynamics X-ray diffraction (Crystal structure) Nuclear magnetic resonance (MRI) When and Where and Why Lectures When: Tue 2pm, Thu 2pm Where: MP134 Labs/Tutorials When: Fri 2-4pm (alternate 1 or 2 hrs) Where: MP238 Books Textbook Biological physics: Energy, Information, Life Philip Nelson (W. H. Freeman) Reference Random Walks in Biology, H. Berg Evaluation Tutorials and Labs: 30% Homework assignments: 20% Midterm: 25% Final Exam: 25% H1N1 preparedness http://www.preparedness.utoronto.ca If unwell, must get doctor’s note or check how to access the “Absence Registry” for any missed term work or exams. If you are at home on account of illness but wish to send in completed term work, you can scan and email it to the TA. Email: Please put “PHY231” in subject.

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Scientific Contacts of Polish Physicists with Albert Einstein
The Global and the Local: The History of Science and the Cultural Integration of Europe. nd Proceedings of the 2 ICESHS (Cracow, Poland, September 6–9, 2006) / Ed. by M. Kokowski. Bronisław Średniawa * Scientific contacts of Polish physicists with Albert Einstein Abstract Scientific relations of Polish physicists, living in Poland and on emigration,with Albert Einstein, in the first half of 20th century are presented. Two Polish physicists, J. Laub and L. Infeld, were Einstein’s collaborators. The exchange of letters between M. Smoluchowski and Einstein contributed essentially to the solution of the problem of density fluctuations. S Loria, J. Kowalski, W. Natanson, M. Wolfke and L. Silberstein led scientific discussions with Einstein. Marie Skłodowska-Curie collaborated with Einstein in the Commission of Intelectual Cooperation of the Ligue of Nations. Einstein proposed scientific collaboration to M. Mathisson, but because of the breakout of the 2nd World War and Mathisson’s death their collaboration could not be realised. Contacts of Polish physicists with Einstein contributed to the development of relativity in Poland. (1) Introduction Many Polish physicists of older generation, who were active in Polish universities and abroad before the First World War or in the interwar period, had personal contacts with Einstein or exchanged letters with him. Contacts of Polish physicists with Einstein certainly inspired some Polish theoreticians to scientific work in relativity. These contacts encouraged also Polish physicists to make effort in the domain of popularization of relativity and of the progress of physics in the twenties and thirties. We can therefore say that the contacts of Polish physicists with Einstein contributed to the development of theoretical physics in Poland.
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From Brownian Motion to Molecular Simulations
odeling M omputing MATHEMATICAL MODELING AND COMPUTING, Vol. 5, No. 2, pp. 99–107 (2018) M C athematical From Brownian motion to molecular simulations Rovenchak A.1, Trokhymchuk A.2 1Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov Str., Lviv, 79005, Ukraine 2Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., Lviv, 79011, Ukraine (Received 21 December 2018) A brief historical overview towards the contribution of two famous Lviv scholars – Mar- ian Smoluchowski and Stanis law Ulam – to the development of modern physical science fields such as molecular modeling and computer simulations is presented and discussed in connection with recent studies carried out in Lviv universities and research institutions. Keywords: history of science, Monte Carlo simulations, molecular dynamics simula- tions, first principles ab initio simulations 2000 MSC: 01A60, 82-03, 82C40, 82D30, 60J65 UDC: 53(091), 501, 533.723, 544.77 DOI: 10.23939/mmc2018.02.099 , , , δoκε˜ι δε` αυτωι˜ ταδε´ αρχας` ε˜ιναι των˜ , , · , o´λων ατoµoυς´ κα`ι κενoν,´ τα` δ′αλλα παντα´ νενoµ´ισθαι [δoξαζεσθαι´ ] (Diogenes Laërtius, Democritus, Vol. IX, 44) The first principles of the universe are atoms and empty space; everything else is merely thought to exist. (transl. by Robert Drew Hicks, 1925; reproduced from Wikiquote) 1. Introduction Brownian motion was discovered, most probably, in the late 18th century by a Dutch scholar Jan Ingen-Housz (1730–1799) [1] and is known after the name of a Scottish botanist Robert Brown (1773– 1858), who observed the chaotic motion of pollen grains in water [2].
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Theoretical Physics in Poland Before 1939*
THEORETICAL PHYSICS IN POLAND BEFORE 1939* 1. INTRODUCTION Science, and in particular the exact sciences, is not a part of culture easily accessible to people outside a small group of experts in the given field. There is, however, at least one aspect of science - which seems not to be always duly appreciated - that can be found equally interesting and worthy of attention by both specialists and non-specialists, scientists and non-scientists. It is the history of science, of scientific institutions and of the people of science. The main goal of this work is to describe the genesis and development of theoretical physics in Poland till 1939. In the sketch presented here I begin by recalling the history of physics as a whole in Poland up to the moment when theoretical physics became a distinct field. This happened in the late 19th century. From that moment on I will focus only on theoretical physics. On its substance, I find it reasonable to split the history of physics in Poland before 1939 into the following periods: - first: up to the establishment of the Commission for National Education; - second: up to the end of the 19th century; - third: up to World War II. It is probably no coincidence that the abovementioned stages correspond roughly to the stages we find in the history of science, and of physics in particular, in the rest of the world. One may say that the first period is that of the origins of modern physics as an empirical and rational science, crowned by the works of Newton and their development in the 18th century.
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On Marian Smoluchowski's Life and Contribution to Physics
Vol. 29 (1998) ACTA PHYSICA POLONICA B No 6 ON MARIAN SMOLUCHOWSKI’S LIFE AND CONTRIBUTION TO PHYSICS , ∗ ∗∗ A. Fuliński M. Smoluchowski Institute of Physics, Jagellonian University Reymonta 4, 30-059 Kraków, Poland e-mail: [email protected]; http://zfs.if.uj.edu.pl (Received March 18, 1998) The first part presents the life and historical contributions of Marian Smoluchowski to the foundations of atomic theory of matter. Remaining parts are devoted to the presentation of the original derivation and present applications of the Smoluchowski equations. Commonly used in various physical, chemical, etc., problems is the kinetic Smoluchowski equation, being the high-friction limit of the full Fokker-Planck equation. Of less use so far has been the functional Smoluchowski (called also Chapman-Enskog or Bachelier) equation. Within the scope of modern theory of stochas- tic processes this equation is an identity equivalent to the definition of a Markovian process. It is argued that, in the view of the growing interest in non-Markovian stochastic processes, the functional Smoluchowski equation may become the most natural and effective tool for checking the Marko- vian vs. non-Markovian character of a considered process, especially when applied to experimental data. Some examples are given. PACS numbers: 05.40. +j, 02.50. Ga, 02.50. Ey ∗ Introductory lecture presented at the Marian Smoluchowski Symposium on Statistical Physics, Zakopane, Poland, September 1–10, 1997. ∗∗ o This work was partially supported by the Polish KBN grant N 2 P03B 005 13. (1523) 1524 A. Fuliński 1. Introduction Marian Smoluchowski1 was born May 28th, 1872 in Vorderbrüchl near Vienna.
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Marian Smoluchowski: a Story Behind One Photograph Subject of Our Study, Became a Part of the Collection of the Ntsh Museum Is Not Known
CONDENSED MATTER PHYSICS, 2012, VOL. 15, NO 4, 47101: 1–8 DOI: 10.5488/CMP.15.47101 HTTP://WWW.ICMP.LVIV.UA/JOURNAL CHRONICLE MARIAN SMOLUCHOWSKI: A STORY BEHIND ONE PHOTOGRAPH A. ILNYTSKA1, J. ILNYTSKYI2, YU. HOLOVATCH2, A. TROKHYMCHUK2 1 V. STEFANYK LVIV NATIONAL SCIENTIfiC LIBRARY OF UKRAINE, 79000 LVIV, UKRAINE 2 INSTITUTE FOR CONDENSED MATTER PHYSICS OF THE NATIONAL ACADEMY OF SCIENCES OF UKRAINE, 1 SVIENTSITSKII ST., 79011 LVIV, UKRAINE RECEIVED OCTOBER 29, 2012, IN fiNAL FORM DECEMBER 3, 2012 WE DISCUSS THE PHOTOGRAPH PROCURED FROM THE ARCHIVES OF THE V.STEFANYK LVIV NATIONAL SCIENTIfiC LIBRARY OF UKRAINE DATED BY 1904 WHICH SHOWS MARIAN SMOLUCHOWSKI TOGETHER WITH PROFESSORS AND GRADUATE STUDENTS OF THE PHILOSOPHY DEPARTMENT OF THE LVIV UNIVERSITY. THE PERSONALIA INCLUDES BOTH THE PROFESSORS AND THE GRAD- UATES DEPICTED ON THE PHOTOGRAPH WITH THE EMPHASIS ON THE GRADUATES AS BEING MUCH LESS KNOWN AND STUDIED. THE PHOTOGRAPH ORIGINATES FROM THE COLLECTION OF THE SHEVCHENKO SCIENTIfiC SOCIETY, THEREFORE A BRIEF HISTORICAL BACKGROUND ON THE ACTIVITIES OF PHYSICISTS IN THIS SOCIETY AROUND THAT PERIOD OF TIME IS PROVIDED AS WELL. KEY WORDS: HISTORY OF SCIENCE, SHEVCHENKO SCIENTIfiC SOCIETY, LVIV UNIVERSITY, MARIAN SMOLUCHOWSKI PACS: 01.60.+Q, 01.65.+G 1. ABOUT THE PHOTOGRAPH AND ITS ORIGIN NOT SO MANY PHOTOGRAPHS OF MARIAN SMOLUCHOWSKI ARE KNOWN. TO OUR BEST KNOWLEDGE, THE PHO- TOGRAPHS REPRESENTING MARIAN SMOLUCHOWSKI TOGETHER WITH HIS COLLEAGUES AND STUDENTS ARE ALTOGETHER ABSENT. THAT IS WHY THE PHOTOGRAPH (SEE fiGURE 1) RECENTLY DISCOVERED IN THE ARCHIVES OF THE INSTITUTE FOR LIBRARY ART RESOURCES STUDIES WHICH BELONGS TO THE V.
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Arxiv:1804.02448V1 [Math.HO] 6 Apr 2018 OIHMTEAIIN N AHMTC in MATHEMATICS and MATHEMATICIANS POLISH E Od N Phrases
POLISH MATHEMATICIANS AND MATHEMATICS IN WORLD WAR I STANISLAW DOMORADZKI AND MALGORZATA STAWISKA Contents 1. Introduction 2 2. Galicja 7 2.1. Kraków 7 2.2. Lwów 14 3. The Russian empire 20 3.1. Warsaw 20 3.2. St. Petersburg (Petrograd) 28 3.3. Moscow 29 3.4. Kharkov 32 3.5. Kiev 33 3.6. Yuryev(Dorpat;Tartu) 36 4. Poles in other countries 37 References 40 Abstract. In this article we present diverse experiences of Pol- ish mathematicians (in a broad sense) who during World War I fought for freedom of their homeland or conducted their research and teaching in difficult wartime circumstances. We first focus on those affiliated with Polish institutions of higher education: the ex- isting Universities in Lwów in Kraków and the Lwów Polytechnics arXiv:1804.02448v1 [math.HO] 6 Apr 2018 (Austro-Hungarian empire) as well as the reactivated University of Warsaw and the new Warsaw Polytechnics (the Polish Kingdom, formerly in the Russian empire). Then we consider the situations of Polish mathematicians in the Russian empire and other coun- tries. We discuss not only individual fates, but also organizational efforts of many kinds (teaching at the academic level outside tradi- tional institutions– in Society for Scientific Courses in Warsaw and in Polish University College in Kiev; scientific societies in Kraków, Lwów, Moscow and Kiev; publishing activities) in order to illus- trate the formation of modern Polish mathematical community. Date: April 10, 2018. 2010 Mathematics Subject Classification. 01A60; 01A70, 01A73, 01A74. Key words and phrases. Polish mathematical community, World War I.
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Marian Smoluchowski: a Story Behind One Photograph
CONDENSED MATTER PHYSICS, 2012, VOL. 15, NO 4, 47101: 1–8 DOI: 10.5488/CMP.15.47101 HTTP://WWW.ICMP.LVIV.UA/JOURNAL CHRONICLE MARIAN SMOLUCHOWSKI: A STORY BEHIND ONE PHOTOGRAPH A. ILNYTSKA1, J. ILNYTSKYI2, YU. HOLOVATCH2, A. TROKHYMCHUK2 1 V. STEFANYK LVIV NATIONAL SCIENTIfiC LIBRARY OF UKRAINE, 79000 LVIV, UKRAINE 2 INSTITUTE FOR CONDENSED MATTER PHYSICS OF THE NATIONAL ACADEMY OF SCIENCES OF UKRAINE, 1 SVIENTSITSKII ST., 79011 LVIV, UKRAINE RECEIVED OCTOBER 29, 2012, IN fiNAL FORM DECEMBER 3, 2012 WE DISCUSS THE PHOTOGRAPH PROCURED FROM THE ARCHIVES OF THE V.STEFANYK LVIV NATIONAL SCIENTIfiC LIBRARY OF UKRAINE DATED BY 1904 WHICH SHOWS MARIAN SMOLUCHOWSKI TOGETHER WITH PROFESSORS AND GRADUATE STUDENTS OF THE PHILOSOPHY DEPARTMENT OF THE LVIV UNIVERSITY. THE PERSONALIA INCLUDES BOTH THE PROFESSORS AND THE GRAD- UATES DEPICTED ON THE PHOTOGRAPH WITH THE EMPHASIS ON THE GRADUATES AS BEING MUCH LESS KNOWN AND STUDIED. THE PHOTOGRAPH ORIGINATES FROM THE COLLECTION OF THE SHEVCHENKO SCIENTIfiC SOCIETY, THEREFORE A BRIEF HISTORICAL BACKGROUND ON THE ACTIVITIES OF PHYSICISTS IN THIS SOCIETY AROUND THAT PERIOD OF TIME IS PROVIDED AS WELL. KEY WORDS: HISTORY OF SCIENCE, SHEVCHENKO SCIENTIfiC SOCIETY, LVIV UNIVERSITY, MARIAN SMOLUCHOWSKI PACS: 01.60.+Q, 01.65.+G 1. ABOUT THE PHOTOGRAPH AND ITS ORIGIN NOT SO MANY PHOTOGRAPHS OF MARIAN SMOLUCHOWSKI ARE KNOWN. TO OUR BEST KNOWLEDGE, THE PHO- TOGRAPHS REPRESENTING MARIAN SMOLUCHOWSKI TOGETHER WITH HIS COLLEAGUES AND STUDENTS ARE ALTOGETHER ABSENT. THAT IS WHY THE PHOTOGRAPH (SEE fiGURE 1) RECENTLY DISCOVERED IN THE ARCHIVES OF THE INSTITUTE FOR LIBRARY ART RESOURCES STUDIES WHICH BELONGS TO THE V.
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The Theory of Brownian Motion: a Hundred Years’ Anniversary Paweł F
52 SPECIAL ISSUE, Spring 2006 The theory of Brownian Motion: A Hundred Years’ Anniversary Paweł F. Góra Marian Smoluchowski Institute of Physics Jagellonian University, Cracow, Poland The year 1905 was truly a miracle year, annus mirabilis, in theoretical physics. Albert Einstein published four im- portant papers that year: Two papers laying foundations for the Special Theory of Relativity, one explaining the photo- electric effect that would win Einstein the 1921 Nobel Prize in physics, and one explaining the mechanism of Brownian motion1. An independent explanation of this last phenome- non was published the following year by a Polish physicist Marian Smoluchowski2. An explanation of the origin and Marian Smoluchowski properties of Brownian motion was a solution to a nearly 80 (1872–1917) years old puzzle, a remarkable feat, but nobody expected it to be a major breakthrough that would reshape the whole physics. This was, how- ever, the case and we will try to explain why. Brownian motion takes its name after a Scottish botanist, Robert Brown. Brown was a highly respected man in his time, not, however, for the discovery that he is now famous for, but for his classification of the plants of the New World. It was during this research that Brown noticed in 1827 that pollen in water suspension which he examined in his microscope displayed a very rapid, highly irregular, zigzag motion. Such motions had been observed even prior to Brown, but only in organic molecules, and their origin was delegated to some mysterious “vital Robert Brown (1773–1858) force” characteristic of living matter. Brown was not satisfied with this explanation, which could possibly fit the living pollen.
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Lviv Period for Smoluchowski: Science, Teaching, and Beyond
CONDENSED MATTER PHYSICS, 2012, VOL. 15, NO 4, 40002: 1–15 DOI: 10.5488/CMP.15.40002 HTTP://WWW.ICMP.LVIV.UA/JOURNAL LVIV PERIOD FOR SMOLUCHOWSKI: SCIENCE, TEACHING, AND BEYOND A. ROVENCHAK DEPARTMENT FOR THEORETICAL PHYSICS, IVAN FRANKO NATIONAL UNIVERSITY OF LVIV, 12 DRAHOMANOV ST., 79005 LVIV, UKRAINE RECEIVED OCTOBER 30, 2012, IN fiNAL FORM NOVEMBER 21, 2012 A MAJOR PART OF MARIAN SMOLUCHOWSKI’S ACHIEVEMENTS IN SCIENCE CORRESPONDS TO THE PERIOD OF HIS WORK AT THE UNIVERSITY OF LVIV. SINCE THIS PART IS WELL DESCRIBED IN THE LITERATURE, IN THE PAPER THE EMPHASIS IS MADE ON SOME LESS KNOWN ACTIVITIES OF THIS OUTSTANDING SCIENTIST: HIS TEACHING, HIS ORGANIZATIONAL EFFORTS, AND EVEN HIS HOBBIES. THE LIST OF PUBLICATIONS CORRESPONDING TO THE LVIV PERIOD IS GIVEN. KEY WORDS: MARIAN SMOLUCHOWSKI, UNIVERSITY OF LVIV PACS: 01.30.TT, 01.60.+Q, 01.65.+G. 1. SHORT BIOGRAPHY MARIAN SMOLUCHOWSKI (MARYAN RITTER1 VON SMOLAN SMOLU- CHOWSKI) WAS BORN ON MAY, 28, 1872 IN VORDER-BRüHL (MöDLING, NEAR VIENNA, NOW A SUBURB) TO THE FAMILY OF WILHELM SMOLUCHOWSKI, A HIGH OffiCIAL IN THE CHANCELLERY OF EMPEROR FRANZ JOSEPH I, AND TEOfiLA SZCZEPANOWSKA. DURING 1880–90 HE STUDIED IN COLLEGIUM THERESIANUM AND UPON fiNISHING IT OBTAINED CERTIfiCATE WITH DISTINC- TION [1–5]. HE CONTINUED HIS EDUCATION AT THE UNIVERSITY OF VIENNA STUDYING PHYSICS IN 1891–94. AFTER ARMY SERVICE IN 1894/95, MARIAN SMOLU- CHOWSKI OBTAINED IN 1895 A DOCTORAL DEGREE WITH HIGHEST HONORS (SUB SUMMIS AUSPICIIS IMPERATORIS). THE TITLE OF HIS DOCTORAL THESIS WAS “AKUSTISCHE UNTERSUCHUNGEN üBER DIE ELASTICITäT WEICHER KöR- PER” (ACOUSTIC STUDIES OF THE ELASTICITY OF SOFT BODIES; ADVISOR: JOžEF STEFAN) [6].
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Marian Smoluchowski's 1916 Paper—A Century of Inspiration
Journal of Physics A: Mathematical and Theoretical PREFACE Related content - And did he search for you, and could not Preface: Marian Smoluchowski’s 1916 paper—a find you? Ralf Metzler, Tal Koren, Bram van den century of inspiration Broek et al. - 100 years after Smoluchowski: stochastic processes in cell biology To cite this article: Ewa Gudowska-Nowak et al 2017 J. Phys. A: Math. Theor. 50 380301 D Holcman and Z Schuss - Preface S Fujikawa View the article online for updates and enhancements. This content was downloaded from IP address 46.80.193.227 on 29/09/2017 at 11:41 IOP Journal of Physics A: Mathematical and Theoretical J. Phys. A: Math. Theor. Journal of Physics A: Mathematical and Theoretical J. Phys. A: Math. Theor. 50 (2017) 380301 (8pp) https://doi.org/10.1088/1751-8121/aa8529 50 Preface 2017 © 2017 IOP Publishing Ltd Preface: Marian Smoluchowski’s 1916 paper—a century of inspiration JPHAC5 380301 Historical context E Gudowska-Nowak et al The beginning of the 20th century was a tumultuous time in science. The strongholds of physics were shaken at several ends: Einstein’s special and later general relativity questioned Newtonian mechanics for particles at high speeds; the discovery of spontaneous radioactivity Preface: Marian Smoluchowski s 1916 paper a century of inspiration ’ — by Becquerel and later the successful isolation of radium by the Curies; Rutherford, Geiger, and Marsden’s gold foil scattering experiment; and the advent of quantum mechanics pushed Printed in the UK by Bohr and his colleagues. Another topic soaring at that time was the quest to understand the stochasticity observed in the motion of colloidal particles in liquids.
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Albert Einstein – an Icon of the 20Th Century – Some Myths Zofia Gołąb-Meyer Marian Smoluchowski Institute of Physics Jagellonian University, Cracow, Poland
58 SPECIAL ISSUE, Spring 2006 Albert Einstein – an icon of the 20th century – some myths Zofia Gołąb-Meyer Marian Smoluchowski Institute of Physics Jagellonian University, Cracow, Poland Albert Einstein is one of the icons of the 20th century. He is also considered one of “twelve men who were inflaming women with desire, because they sacrificed love for a higher cause, and men with jealousy, because of their passion, fame, wealth and skills of seducing” (description from a popular journal). Among those twelve there was only one scientist. Indeed, in terms of popularity Einstein matched the greatest stars of cinema and sport. He became one of the symbols of the 20th cen- tury. His face is recognized even by children in remote corners of the world. The 20th century abounded with prominent physicists who changed the face of physics. Einstein occupies an extraordinary position among those greats. Having established the general theory of relativity, he became one of the three greatest physicists in history. Newton, Maxwell and Einstein form this great trio. Einstein’s status as an icon of the 20th century is well justified, but the public has not really appreciated the significance of his discoveries. Einstein became a legend during his lifetime, but a number of incorrect ideas about him have con- tributed to the rise of his legend. It is not true that Einstein was engaged in physics “for only twenty years”, and that “the rest of his life he devoted to music, family, and social activities in aid of peace.” The entire sense of Einstein’s life was physics.
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32Nd Marian Smoluchowski Symposium on Statistical Physics
BOOK OF ABSTRACTS 32nd Marian Smoluchowski Symposium on Statistical Physics Information processing 18-20 September, 2019, Kraków, Poland 32nd Marian Smoluchowski Symposium on Statistical Physics 18 - 20 SEPTEMBER, 2019, KRAKÓW,POLAND aA aA Local Organizing Committee: Jakub Barbasz Karol Capała Michał Ciesla´ Bartłomiej Dybiec Paweł F. Góra Ewa Gudowska-Nowak Lech Longa Maciej Majka Katarzyna Oles´ Wojciech Tomczyk Conference Chair: Ewa Gudowska-Nowak Conference Secretary: Ewa Witkowska Conference webpage: www.smoluchowski.if.uj.edu.pl Page 2 of 58 32nd Marian Smoluchowski Symposium on Statistical Physics 18 - 20 SEPTEMBER, 2019, KRAKÓW,POLAND Conference and venue information Venue The conference will be held at the Marian Smoluchowski Institute of Physics of the Jagiellonian University, ul. Łojasiewicza 11 (lecture room A-1-13, 1st ﬂoor), which is about 30/40-minute ride from the city center. One can get there using the public transportation (trams number 11, 18, 52, 72 or bus number 194) to reach Norymberska (or Ruczaj) stop and then taking a short walk (see Maps at the back cover). Note that the direction of tram/bus (ﬁnal station) should be “Czerwone Maki P+R”. • Tram 18 and 52 run through the city center. • Tram 72 is reachable within the vicinity of Royal Castle Wawel. • Bus 194 is reachable within the outskirts of so-called “Old Town” (Stare Miasto). Public transport Two most popular ticket types for one person are 20-minute unlimited bus and tram journeys (3.40 PLN) and 50-minute unlimited bus and tram journeys or unlimited time but single journey (4.60 PLN). The tickets are available from the ticket machines in all trams and buses.
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