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89 sample documents related to PHYSICS 542
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Chapter 8 COARSENING In the previous chapter, we discussed the coarsening of kinetic Ising models starting from an initial homogeneous high-temperature phase and suddenly lowering the temperature (quenching) below the critical temperature. The ensui
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Chapter 10 COMPLEX NETWORKS The study of complex networks represents a non-traditional application of non-equilibrium statistical physics. As we shall discuss, the tools of the field seem particularly appropriate to quantify basic properties of comp
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Chapter 1 APERITIFS Broadly speaking, non-equilibrium statistical physics describes the time-dependent evolution of many-particle systems. The individual particles are elemental interacting entities which, in some situations, can change in the proce
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TENTATIVE COURSE OUTLINE PY542: NON-EQUILIBRIUM STATISTICAL PHYSICS I. TRANSPORT THEORY (3 lectures) 1) Elementary Kinetic Theory (1.5 lectures) (a) The Maxwell-Boltzmann Distribution (b) Molecular Collisions and Flux (c) Linear Transport Processes e
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PY542 INFORMATION Instructor: Sidney Redner (321 SCI, x2618) Office Hours: Tues. & Fri. 9-10:30am, and by appointment. Fall 2008 General: This course treats non-equilibrium statistical mechanics and transport phenomena. Because of the rapid develop
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TENTATIVE COURSE OUTLINE PY542: NON-EQUILIBRIUM STATISTICAL PHYSICS I. TRANSPORT THEORY (3 lectures) 1) Elementary Kinetic Theory (1.5 lectures) (a) The Maxwell-Boltzmann Distribution (b) Molecular Collisions and Flux (c) Linear Transport Processes e
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Contents Preface 1 FIRST PASSAGE FUNDAMENTALS 1.1 What is a First-Passage Process? 1.1.1 A Simple Illustration 1.1.2 Fundamental Issues 1.2 Connection between First-Passage and Occupation Probabilities 1.3 Probability Distribution of a One-Dimension
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Downloaded 23 Sep 2008 to 128.197.40.148. Redistribution subject to AIP license or copyright; see http:/jmp.aip.org/jmp/copyright.jsp Downloaded 23 Sep 2008 to 128.197.40.148. Redistribution subject to AIP license or copyright; see http:/jmp.aip.org
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Assignment #1 PY 542 Week of September 15, 2008 Reading: The course begins with linear transport theory. This rst topic is discussed, e.g., in Reifs book, and the relevant section of this book is posted on the course website. The next course topic
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Assignment #2 PY542 Week of September 812, 2008 Reading: This week, we will discuss the Chapman-Enskog expansion of the Boltzmann transport equation, the calculation of transport coefficients, the connection to hydrodynamics and them some basic hy
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Assignment #3 PY 542 Week of September 1519, 2008 Reading: For a masterful treatment of non-viscous and viscous hydrodynamics, I highly recommend the Feynman Lectures on Physics, volume II, chapters 40 & 41. This week, we begin the next major chap
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Assignment #4 PY 542 Week of September 22 26, 2008 Reading: This week, we will begin discussing the evolution of spin systems. Please read chapter 7 of my book Fundamental Kinetic Processes posted on the course website. Ive also posted Glaubers o
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Assignment #5 PY 542 Week of September 20October 3, 2008 Reading: After some concluding discussion on kinetic spin systems, our next topic will be the Langevin equation. Excellent treatments are given in books of Reif and van Kampen, now both on res
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Assignment #6 PY 542 Week of October 610, 2008 Reading: We are now discussing the Fokker-Planck equation and its relation to the Langevin equation. Pertinent readings include the relevant chapters of Van Kampen and also \"On the Theory of the Brown
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Assignment #7 PY 542 Weeks of 10/2731 & 11/37, 2008 Notes: The midterm will be given on Thursday November 13 during the regular class session. No notes or books allowed. Memorization-type formulae will be provided. Past midterm(s) will be posted o
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MIDTERM EXAM PY542 November 6, 2007 No notes or books are allowed or needed. Please be sure to explain your work clearly to maximize the probability of receiving the appropriate partial credit. 1. A flat plate of area A and mass m slides on top of
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Contents 1 APERITIFS 1.1 Diffusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Single-Species Annihilation/Coalescence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 Two-Species
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Chapter 2 RANDOM WALK/DIFFUSION Because the random walk and its continuum diusion limit underlie so many fundamental processes in non-equilibrium statistical physics, we give a brief introduction to this central topic. There are several complementar
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Chapter 3 COLLISIONS 3.1 Background The foundational Boltzmann transport equation (BTE), which describes how a gas evolves by molecular collisions, normally appears early in a non-equilibrium statistical physics course. Some basic consequences of t
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Chapter 5 FRAGMENTATION In fragmentation, an object continuously breaks into an increasing number of smaller pieces by external driving. Fragmentation is ubiquitous in nature. At geological scales, fragmentation is responsible for sand grains on bea
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Chapter 6 ADSORPTION This chapter is concerned with the kinetics of adsorption in which gas molecules impinge upon and then adsorb on a surface, or substrate. What is the rate at which adsorbed molecules fill the substrate? If the incident molecules
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Chapter 7 SPIN DYNAMICS Kinetic spin systems play a crucial role in the development of non-equilibrium statistical physics. The prototypical example is the appealing-simple kinetic Ising model, in which the conventional Ising model of equilibrium st
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Chapter 9 REACTION KINETICS In this chapter, we will discuss the time evolution of simple diffusion-limited reactions where one (or more) reactant species are converted into a product. There are two rates that control the overall reaction. The first
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PY542 INFORMATION Instructor: Sidney Redner (321 SCI, x2618) Office Hours: Tues. & Fri. 9-10:30am, and by appointment. Fall 2008 General: This course treats non-equilibrium statistical mechanics and transport phenomena. Because of the rapid develop
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Assignment #1 PY542 Weeks of September 37 howe
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Assignment #2 PY542 Week of September 1014, 2007 Reading: This week, I will continue with the Boltzmann transport equation, ultimately leading to the calculation of transport coefficients and the relation to hydrodynamics. For the derivation of hy
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Assignment #3 PY542 Week of September 1721, 2007 Reading: This week, we will discuss approach to equilibrium in the Boltzmann equation, its relation to hydrodynamics, and finally a very brief overview of hydrodynamics. For the first two topics, I
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Assignment #6 PY542 Week of October 1519, 2007 Reading: This week, we will discuss the Langevin and Fokker-Planck formulations of non-equilibrium relaxation. Pertinent reading includes sections 15.5-12 in Reif (more elementary) and chapter VIII of Va
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Assignment #8 PY542 Week of October 29November 2, 2007 Reading: This week I will complete a brief presentation of first-passage processes. For this topic, please read the sections of my book that are posted on the course website. I will also provide
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MIDTERM EXAM PY542 October 30, 1997 No notes or books are allowed or needed. Please be sure to explain your work clearly to maximize the probability of receiving partial credit. 1. A narrow pipe of radius 1 cm and length 1 m connects two otherwise
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Downloaded 23 Sep 2007 to 168.122.64.146. Redistribution subject to AIP license or copyright, see http:/jmp.aip.org/jmp/copyright.jsp Downloaded 23 Sep 2007 to 168.122.64.146. Redistribution subject to AIP license or copyright, see http:/jmp.aip.org
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PY542 INFORMATION Fall 2007 Instructor: Sidney Redner (323 SCI, x2618) Office Hours: Tues. & Fri. 9-10:30am, and by appointment. General: This course concentrates on non-equilibrium statistical mechanics and transport phenomena. Because of the rapi
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Assignment #4 PY542 Week of September 2428, 2007 Reading: I forgot to mention a nice readable treatment of hydrodynamics-the Feynman Lectures on Physics, volume II, chapters 40 & 41. These chapters are masterful in their simplicity and insight. We
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Assignment #5 PY542 Weeks of October 15 & 812, 2007 Reading: This week we will discuss kinetic spin systems. Please read the article and book excerpt that are posted on the course website about this topic. Notes: (a) I propose either Thursday Nov.
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Assignment #7 PY542 Week of October 2226, 2007 Reading: This week, we will discuss the Fokker-Planck formulations of non-equilibrium relaxation. Some pertinent reading includes sections 15.5-12 in Reif (more elementary) and chapter VIII of Van Kampen
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