Equilibrium Thermodynamics
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An Introduction to Statistical Mechanics and Thermodynamics This Page Intentionally Left Blank an Introduction to Statistical Mechanics and Thermodynamics
An Introduction to Statistical Mechanics and Thermodynamics This page intentionally left blank An Introduction to Statistical Mechanics and Thermodynamics Robert H. Swendsen 1 3 Great Clarendon Street, Oxford ox2 6dp Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide in Oxford New York Auckland Cape Town Dar es Salaam Hong Kong Karachi Kuala Lumpur Madrid Melbourne Mexico City Nairobi New Delhi Shanghai Taipei Toronto With offices in Argentina Austria Brazil Chile Czech Republic France Greece Guatemala Hungary Italy Japan Poland Portugal Singapore South Korea Switzerland Thailand Turkey Ukraine Vietnam Oxford is a registered trade mark of Oxford University Press in the UK and in certain other countries Published in the United States by Oxford University Press Inc., New York c Robert H. Swendsen 2012 The moral rights of the author have been asserted Database right Oxford University Press (maker) First published 2012 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, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, or under terms agreed with the appropriate reprographics rights organization. Enquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the address above You must not circulate this book in any other binding or cover and you must impose the same condition on any acquirer British Library Cataloguing in Publication Data Data available Library of Congress Cataloging in Publication Data Library of Congress Control Number: 2011945381 Typeset by SPI Publisher Services, Pondicherry, India Printed and bound by CPI Group (UK) Ltd, Croydon, CR0 4YY ISBN 978–0–19–964694–4 13579108642 To the memory of Herbert B. -
Applied Physics
Physics 1. What is Physics 2. Nature Science 3. Science 4. Scientific Method 5. Branches of Science 6. Branches of Physics Einstein Newton 7. Branches of Applied Physics Bardeen Feynmann 2016-03-05 What is Physics • Meaning of Physics (from Ancient Greek: φυσική (phusikḗ )) is knowledge of nature (from φύσις phúsis "nature"). • Physics is the natural science that involves the study of matter and its motion through space and time, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves. • Physics is one of the oldest academic disciplines, perhaps the oldest through its inclusion of astronomy. Over the last two millennia, physics was a part of natural philosophy along with chemistry, certain branches of mathematics, and biology, but during the scientific revolution in the 17th century, the natural sciences emerged as unique research programs in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. • New ideas in physics often explain the fundamental mechanisms of other sciences, while opening new avenues of research in areas such as mathematics and philosophy. 2016-03-05 What is Physics • Physics also makes significant contributions through advances in new technologies that arise from theoretical breakthroughs. • For example, advances in the understanding of electromagnetism or nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization, and advances in mechanics inspired the development of calculus. -
Relativity in Classical Physics
PHYSICS IV COURSE TOPICS 1 - The Birth of Modern Physics 2 - Special Theory of Relativity 3 - The Experimental Basis of Quantum Physics 4 - Structure of the Atom 5 - Wave Properties of Matter 6 - Quantum Mechanics The Birth of Modern Physics Lecture 1 • The word physics is derived from the Latin word physica, which means «natural thing». • Physics is a branch of science that deals with the properties of matter and energy and the relationship between them. • The scope of physics is very wide and vast. It deals with not only the tinniest particles of atoms, but also natural phenomenon like the galaxy, the milky way, solar and lunar eclipses, and more. Branches of Physics • Classical physics • Modern physics • Nuclear physics This branch is mainly • Atomic physics • Geophysics concerned with the • Biophysics theory of relativity • Mechanics and • Acoustics quantum mechanics. • Optics • Thermodynamics • Astrophysics • The term modern physics generally refers to the study of those facts and theories developed in this century starting around 1900, that concern the ultimate structure and interactions of matter, space and time. • The three main branches of classical physics such as mechanics, heat and electromagnetism – were developed over a period of approximately two centuries prior to 1900. • Newton’s mechanics dealt succesfully with the motions of bodies of macroscopic size moving with low speeds. • This provided a foundation for many of the engineering accomplishments of the 18th and 19th centuries. • Between 1837 – 1901, there were many remarkable achievements occured in physics. • For example, the description and predictions of electromagnetism by Maxwell. Partly responsible for the rapid telecommunications of today. -
Outline of Physical Science
Outline of physical science “Physical Science” redirects here. It is not to be confused • Astronomy – study of celestial objects (such as stars, with Physics. galaxies, planets, moons, asteroids, comets and neb- ulae), the physics, chemistry, and evolution of such Physical science is a branch of natural science that stud- objects, and phenomena that originate outside the atmosphere of Earth, including supernovae explo- ies non-living systems, in contrast to life science. It in turn has many branches, each referred to as a “physical sions, gamma ray bursts, and cosmic microwave background radiation. science”, together called the “physical sciences”. How- ever, the term “physical” creates an unintended, some- • Branches of astronomy what arbitrary distinction, since many branches of physi- cal science also study biological phenomena and branches • Chemistry – studies the composition, structure, of chemistry such as organic chemistry. properties and change of matter.[8][9] In this realm, chemistry deals with such topics as the properties of individual atoms, the manner in which atoms form 1 What is physical science? chemical bonds in the formation of compounds, the interactions of substances through intermolecular forces to give matter its general properties, and the Physical science can be described as all of the following: interactions between substances through chemical reactions to form different substances. • A branch of science (a systematic enterprise that builds and organizes knowledge in the form of • Branches of chemistry testable explanations and predictions about the • universe).[1][2][3] Earth science – all-embracing term referring to the fields of science dealing with planet Earth. Earth • A branch of natural science – natural science science is the study of how the natural environ- is a major branch of science that tries to ex- ment (ecosphere or Earth system) works and how it plain and predict nature’s phenomena, based evolved to its current state. -
Statistical Thermodynamics - Fall 2009
1 Statistical Thermodynamics - Fall 2009 Professor Dmitry Garanin Thermodynamics September 9, 2012 I. PREFACE The course of Statistical Thermodynamics consist of two parts: Thermodynamics and Statistical Physics. These both branches of physics deal with systems of a large number of particles (atoms, molecules, etc.) at equilibrium. 3 19 One cm of an ideal gas under normal conditions contains NL =2.69 10 atoms, the so-called Loschmidt number. Although one may describe the motion of the atoms with the help of× Newton’s equations, direct solution of such a large number of differential equations is impossible. On the other hand, one does not need the too detailed information about the motion of the individual particles, the microscopic behavior of the system. One is rather interested in the macroscopic quantities, such as the pressure P . Pressure in gases is due to the bombardment of the walls of the container by the flying atoms of the contained gas. It does not exist if there are only a few gas molecules. Macroscopic quantities such as pressure arise only in systems of a large number of particles. Both thermodynamics and statistical physics study macroscopic quantities and relations between them. Some macroscopics quantities, such as temperature and entropy, are non-mechanical. Equilibruim, or thermodynamic equilibrium, is the state of the system that is achieved after some time after time-dependent forces acting on the system have been switched off. One can say that the system approaches the equilibrium, if undisturbed. Again, thermodynamic equilibrium arises solely in macroscopic systems. There is no thermodynamic equilibrium in a system of a few particles that are moving according to the Newton’s law. -
PHYSICS Is the Study of Energy and Consists of Five Main Branches Each Studies a Different Form of Energy
S R E W S N A PHYSICS is the study of energy and consists of five main branches each studies a different form of energy: . Mechanics (The study of forces or work; work is a form of energy) . Thermodynamics (The study of heat; heat is a form of energy) . Acoustics (The study of sound; sound is a form of energy) . Optics (The study of light; light is a form of energy) . Electricity and magnetism (Both are forms of energy) Just as there are different forms of money (the nickel, the dime, the quarter, the "five-dollar" bill, the check, etc.), there are different forms of energy (heat, sound, light, electricity, etc.). Each different form is a different branch of physics. And, just as one form of money can be converted into a different form of money, likewise one form of energy can be converted into a different form of energy. Even matter is just a form of energy (E = mc2). The device used to convert one form of energy into another form of energy is called a TRANSDUCER. Some popular transducers include: . The light bulb (which converts electrical energy into light energy) . The electric motor (which converts electrical energy into mechanical energy) . The electric heater (which converts electrical energy into heat energy) . The generator (which converts mechanical energy into electrical energy) . The speaker (which converts electrical energy into sound energy) . The microphone (which converts sound energy into electrical energy) . The photocell (which converts light energy into electrical energy) The efficiency of a transducer tells us how well it converts one type of energy into another type of energy. -
Szilard-1929.Pdf
In memory of Leo Szilard, who passed away on May 30,1964, we present an English translation of his classical paper ober die Enfropieuerminderung in einem thermodynamischen System bei Eingrifen intelligenter Wesen, which appeared in the Zeitschrift fur Physik, 1929,53,840-856. The publica- tion in this journal of this translation was approved by Dr. Szilard before he died, but he never saw the copy. At Mrs. Szilard’s request, Dr. Carl Eckart revised the translation. This is one of the earliest, if not the earliest paper, in which the relations of physical entropy to information (in the sense of modem mathematical theory of communication) were rigorously demonstrated and in which Max- well’s famous demon was successfully exorcised: a milestone in the integra- tion of physical and cognitive concepts. ON THE DECREASE OF ENTROPY IN A THERMODYNAMIC SYSTEM BY THE INTERVENTION OF INTELLIGENT BEINGS by Leo Szilard Translated by Anatol Rapoport and Mechthilde Knoller from the original article “Uber die Entropiever- minderung in einem thermodynamischen System bei Eingriffen intelligenter Wesen.” Zeitschrift fur Physik, 1929, 65, 840-866. 0*3 resulting quantity of entropy. We find that The objective of the investigation is to it is exactly as great as is necessary for full find the conditions which apparently allow compensation. The actual production of the construction of a perpetual-motion ma- entropy in connection with the measure- chine of the second kind, if one permits an ment, therefore, need not be greater than intelligent being to intervene in a thermo- Equation (1) requires. dynamic system. When such beings make F(J measurements, they make the system behave in a manner distinctly different from the way HERE is an objection, already historical, a mechanical system behaves when left to Tagainst the universal validity of the itself. -
Thermodynamic Processes: the Limits of Possible
Thermodynamic Processes: The Limits of Possible Thermodynamics put severe restrictions on what processes involving a change of the thermodynamic state of a system (U,V,N,…) are possible. In a quasi-static process system moves from one equilibrium state to another via a series of other equilibrium states . All quasi-static processes fall into two main classes: reversible and irreversible processes . Processes with decreasing total entropy of a thermodynamic system and its environment are prohibited by Postulate II Notes Graphic representation of a single thermodynamic system Phase space of extensive coordinates The fundamental relation S(1) =S(U (1) , X (1) ) of a thermodynamic system defines a hypersurface in the coordinate space S(1) S(1) U(1) U(1) X(1) X(1) S(1) – entropy of system 1 (1) (1) (1) (1) (1) U – energy of system 1 X = V , N 1 , …N m – coordinates of system 1 Notes Graphic representation of a composite thermodynamic system Phase space of extensive coordinates The fundamental relation of a composite thermodynamic system S = S (1) (U (1 ), X (1) ) + S (2) (U-U(1) ,X (2) ) (system 1 and system 2). defines a hyper-surface in the coordinate space of the composite system S(1+2) S(1+2) U (1,2) X = V, N 1, …N m – coordinates U of subsystems (1 and 2) X(1,2) (1,2) S – entropy of a composite system X U – energy of a composite system Notes Irreversible and reversible processes If we change constraints on some of the composite system coordinates, (e.g. -
History of History of Physics
Acta Baltica Historiae Historyet Philosophiae of History Scientiarum of Physics Vol. 4, No. 2 (Autumn 2016) DOI : 10.11590/abhps.2016.2.01 History of History of Physics Stanislav Južnič Dunajska 83, Ljubljana 1000, Slovenia E-mail: [email protected] Abstract: The twelve decades of modern academic history of physics have provided enough material for the study of the history of history of physics, the focus of which is the development of the opinions and methods of historians of physics. The achievements of historians of physics are compared with the achievements of their objects of research, the physicists. Some correlations are expected. The group of historians-researchers and the group of their objects interacted. In several cases, the same person started out as a researcher and later moved on to the field of researcher of research achievements. There are also some competence-related quarrels between the two groups, the historians and the physicists. The new science called history of history of physics could be useful in a special case study of Jesuits. Jesuit professors formed a special group of physicists and historians studying the physicists, who were very influential in their time. Jesuits, except the very best of them such as Rudjer Bošković, Athanasius Kircher, or Christopher Clavius, were later omitted from historical surveys by their Enlightenment opponents. In the second half of the 19th century, Jesuit historians produced a considerable amount of useful biographies and bibliographies of their fellows. This makes them an interesting research subject for the history of history of physics as one of the best researched scientific-oriented networks worldwide, especially the Jesuits who were active in China. -
How Should Energy Be Defined Throughout Schooling? Manuel Bächtold
How should energy be defined throughout schooling? Manuel Bächtold To cite this version: Manuel Bächtold. How should energy be defined throughout schooling?. Research in Science Educa- tion, Springer Verlag, 2017, 48 (2), pp.345-367. 10.1007/s11165-016-9571-5. hal-01521131 HAL Id: hal-01521131 https://hal.archives-ouvertes.fr/hal-01521131 Submitted on 11 May 2017 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. to appear in Research in Science Education How should energy be defined throughout schooling? Manuel Bächtold LIRDEF (EA 3749), Universités Montpellier et UPVM Abstract: The question of how to teach energy has been renewed by recent studies focusing on the learning and teaching progressions for this concept. In this context, one question has been, for the most part, overlooked: how should energy be defined throughout schooling. This paper addresses this question in three steps. We first identify and discuss two main approaches in physics concerning the definition of energy, one claiming there is no satisfactory definition and taking conservation as a fundamental property, the other based on Rankine’s definition of energy as the capacity of a system to produce changes. -
INTRODUCTION to Thermodynamic Properties Introduction to Thermodynamic Properties
INTRODUCTION TO Thermodynamic Properties Introduction to Thermodynamic Properties © 1998–2018 COMSOL Protected by patents listed on www.comsol.com/patents, and U.S. Patents 7,519,518; 7,596,474; 7,623,991; 8,219,373; 8,457,932; 8,954,302; 9,098,106; 9,146,652; 9,323,503; 9,372,673; and 9,454,625. Patents pending. This Documentation and the Programs described herein are furnished under the COMSOL Software License Agreement (www.comsol.com/comsol-license-agreement) and may be used or copied only under the terms of the license agreement. COMSOL, the COMSOL logo, COMSOL Multiphysics, COMSOL Desktop, COMSOL Server, and LiveLink are either registered trademarks or trademarks of COMSOL AB. All other trademarks are the property of their respective owners, and COMSOL AB and its subsidiaries and products are not affiliated with, endorsed by, sponsored by, or supported by those trademark owners. For a list of such trademark owners, see www.comsol.com/trademarks. Version: COMSOL 5.4 Contact Information Visit the Contact COMSOL page at www.comsol.com/contact to submit general inquiries, contact Technical Support, or search for an address and phone number. You can also visit the Worldwide Sales Offices page at www.comsol.com/contact/offices for address and contact information. If you need to contact Support, an online request form is located at the COMSOL Access page at www.comsol.com/support/case. Other useful links include: • Support Center: www.comsol.com/support • Product Download: www.comsol.com/product-download • Product Updates: www.comsol.com/support/updates •COMSOL Blog: www.comsol.com/blogs • Discussion Forum: www.comsol.com/community •Events: www.comsol.com/events • COMSOL Video Gallery: www.comsol.com/video • Support Knowledge Base: www.comsol.com/support/knowledgebase Part number: CM021603 Contents The Thermodynamic Properties Data Base . -
Thermodynamics Cycle Analysis and Numerical Modeling of Thermoelastic Cooling Systems
international journal of refrigeration 56 (2015) 65e80 Available online at www.sciencedirect.com ScienceDirect www.iifiir.org journal homepage: www.elsevier.com/locate/ijrefrig Thermodynamics cycle analysis and numerical modeling of thermoelastic cooling systems Suxin Qian, Jiazhen Ling, Yunho Hwang*, Reinhard Radermacher, Ichiro Takeuchi Center for Environmental Energy Engineering, Department of Mechanical Engineering, University of Maryland, 4164 Glenn L. Martin Hall Bldg., College Park, MD 20742, USA article info abstract Article history: To avoid global warming potential gases emission from vapor compression air- Received 3 October 2014 conditioners and water chillers, alternative cooling technologies have recently garnered Received in revised form more and more attentions. Thermoelastic cooling is among one of the alternative candi- 3 March 2015 dates, and have demonstrated promising performance improvement potential on the Accepted 2 April 2015 material level. However, a thermoelastic cooling system integrated with heat transfer fluid Available online 14 April 2015 loops have not been studied yet. This paper intends to bridge such a gap by introducing the single-stage cycle design options at the beginning. An analytical coefficient of performance Keywords: (COP) equation was then derived for one of the options using reverse Brayton cycle design. Shape memory alloy The equation provides physical insights on how the system performance behaves under Elastocaloric different conditions. The performance of the same thermoelastic cooling cycle using NiTi Efficiency alloy was then evaluated based on a dynamic model developed in this study. It was found Nitinol that the system COP was 1.7 for a baseline case considering both driving motor and Solid-state cooling parasitic pump power consumptions, while COP ranged from 5.2 to 7.7 when estimated with future improvements.