Juan David Vasquez Jaramillo, Ph.D
--B.Sc Electronics Engineering (Universidad Tecnologica de Perira - UTP),
--M.Sc. Electrical Engineering (Universidad Tecnologica de Pereira - UTP),
--Research Intership: Department of Electrical Engineering, Technion - Israel Institute of Technology
--Lic. Phil. (M.Res) Physics (Uppsala Universitet),
--Ph.D in Atomic, Molecular and Condensed Matter Physics (Uppsala Universitet),
--Postdoctoral Scholar: Quantum Transport and Electronic Structure Theory Unit,
Okinawa Institute for Science and Technology (OIST).
--Postdoctoral Scholar - Theoretical Solid State Physics Group, Universidad del Valle.
--Lecturer in Theoretical Physics at the institute of Physics, Universidad de Antioquia.
--Lecturer in Dynamical Systems and Control Theory, Faculty of Engineering, Universidad Tecnologica de Pereira.
--Senior Lecturer In Theoretical Physics, at the Department of Physics and Geology, Universidad de Pamplona.
--Lecturer in Applied Mathematics and Electromagnetic Theory, Universidad Tecnologica de Pereira.
Statistical Mechanics:
A Special Course
Welcome to the Special Course on Statistical Mechanics, offer to students and professinals in the areas of Chemical Engineering, Mechanical Engineering, Chemistry and Physics. The course will be taught by Dr. Juan David V. Jaramillo, Postdoctoral Researcher at Universidad del Valle and Full Time Lecturer at Universidad de Pamplona.
This course is designed to supply the students with the tools to understand the macroscopic world from the kinematics of its microscopic constituents, that is, by overging over a large number of microscopic degrees of freedom, one can obtain a set of macroscopic observables that obey a certain laws derived phenomenologically known as the laws of thermodynamics. Moreover, the student will recognize the insconsistencies of Classical Statistical Mechanics with experimental observations and will argue in favor of the necessity of a Quantum Theory for Statistical Mechanics, which will lead to the Quantum Statistics of Fermi-Dirac and Bose-Einstein.
Then, the student should be able to recognize different several particle physical systems that obey either the Fermi-Dirac distribution or the Bose-Einstein distribution, and evaluate several of the most important equilibrium properties of these quantum gases.
In the epilogue of the course, if time permits it, the students will apply Boltzmann transport equation to problems related to electric and thermal transport processes as well as identify the main features and manifestations of physical systems driven out of equilibrium.
I really hope you will enjoy this course and that you will meet of the proposed objectives having enriching and engaging discussions with all the peers.
With Kind Regards,
Juan David V. Jaramillo, Ph.D
Contents
Presentation of the Course (pdf).
Unit 1: Where is Thermodynamics?
1. Empirism and the Scientific Method
2. Empirism and Thermodynamics.
3. The Zeroth Law of Thermodynamics (pdf).
4. Energy Conservation, Work and the
First Law of Thermodynamics (pdf).
5. Entropy and the Second Law of
Thermodynamics (pdf).
6. The Absolute Zero and the Third Law
of Thermodynamics.
7. Approach to Equilibrium and
Thermodynamic Potentials.
Unit 2: The Tool for Statistical Mechanics -
Probability Theory
1. Probability Theory
2. Fourier Analysis and Fourier Series
3. Fourier Analysis in Probability Theory.
4. Cummulants and Cummulant Generating
Function.
5. Joint Probability Distributions and
Associated Theorems.
6. Sum of Random Variables and the Central
Limit Theorem.
7. Rules for Large Numbers.
8. Information, Entropy and Estimation.
9. Application to Classical Statistical
Mechanics.
Bibliography:
1. Statistical Mechanics, Kerson Huang. 2nd Edition
2. Statistical Mechanics of Particles. Mehran Kardar.
3. Statistical Mechanics of Fields. Mehran Kardar.
4. Concepts in Thermal Physics. Katherine Blundell and Steve Blundell.
5. Solid State Physics. Neil Ashcroft and David Mermin.
6. Modern Quantum Mechanics. J. J. Sakurai and Jim Napolitano
7. Statistical Mechanics. R. K. Pathria, Paul. D. Beale.
8. Statistical Physics II: Nonequilibrium Statistical Mechanics. Ryogo Kubo, Morikazu Toda, H. Hashitsume.
9. Chemical Kinetics and Dynamics. Steinfeld, Francisco, Hase