Thermal and Statistical Physics
Video Lectures
Displaying all 39 video lectures.
Lecture 1![]() Play Video |
Introduction to Thermal and Statistical Physics This is the introductory lecture of a undergraduate class on thermal and statistical physics I taught in 2013. Link to the presentation slides: https://drive.google.com/file/d/0B8hDfVvVdCImYl9EbW5OaV9JOUk... Sorry for the poor audio in some parts of this video! |
Lecture 2![]() Play Video |
Measuring Temperature This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - linear expansion of solids (1:12) - volume expansion at constant pressure (5:06) - Amoton's Law (11:15) - Bimetal strips (16:30) - Galilean thermometer (20:05) - Constant volume gas thermometer (26:28) |
Lecture 3![]() Play Video |
Absolute Zero, Heat Capacity This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - how Amonton's law suggests an absolute zero temperature for gases (0:01) - general description of absolute zero (6:44) - definition of Kelvin temperature scale (10:50) - Joule's experiment and definition of heat capacity (14:02) - constant volume versus constant pressure heat capacities (18:25) - |
Lecture 4![]() Play Video |
Phase Transitions This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - the three phases of matter (0:01) - definition of latent heat (6:25) - phase transition terminology (12:48) - a typical phase diagram (15:55) - triple point and critical point (19:00) - supercritical fluids (23:32) - supercritical carbon dioxide video (25:56) |
Lecture 5![]() Play Video |
Heat and Work This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - work done by an expansion (0:55) - First Law of Thermodynamics (7:02) - Isobaric (14:14), isothermal (17:00), and adiabatic (19:40) expansions |
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Heat Cycles This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - definition of a heat cycle (1:30) - efficiency of a heat cycle (7:45) - analysis of the Stirling engine (11:15) |
Lecture 7![]() Play Video |
More Heat Cycles This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. The slides used in this lecture are here: https://drive.google.com/file/d/0B8hDfVvVdCImMHl5NFlLOWRBbnc... This lecture includes: - an analysis of the Rankine cycle of steam engines (0:01) - the Carnot cycle (5:49) - a description of the workings of a reciprocating piston (10:30) - heat pumps (17:20) - the cycle used in a refrigerator (23:34) |
Lecture 8![]() Play Video |
The Ideal Gas This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - the ideal gas equations of state (1:45) - the definition of a mole of substance and Avagadro's number (7:50) - Calculation of work done and heat transferred in various expansions of an ideal gas (16:35) - Estimation of the work done and efficiency of a model Stirling Engine (31:58) |
Lecture 9![]() Play Video |
Avagadro's Number and Equipartition Theorem This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. Link to the slides used in this lecture: https://drive.google.com/file/d/0B8hDfVvVdCImNUh5V0kxMElpSUU... This lecture includes: - definition of Avagadro's number (1:25) - the Milikan-Harvey experiment to measure the charge of one electron (4:30) - Estimating Avagadro's number using electrolysis (11:15) - The equipartition theorem (15:55) - Failure of equipartition theorem in calculation of heat capacities (23:30) |
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Entropy This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - the thermodynamic definition of entropy (0:20) - the second law of thermodynamics (9:05) - some calculations of entropy in some simple cases (17:34) |
Lecture 11![]() Play Video |
Entropy and the Second Law This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - the free expansion of an ideal gas (0:01) - example of a quasi-static process (8:44) - definition of a general quasi-static process (14:30) - Time reversal asymmetry of second law (18:55) - Clausius, Carnot and Kelvin statements of second law (22:00) |
Lecture 12![]() Play Video |
Efficiency of Carnot Engine This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - statement of a theorem on the efficiency of Carnot cycles (1:40) - Proof that the efficiency of the Carnot cycle depends only on the temperatures of the high and low temperature reservoirs (3:35) - Proof that the Carnot cycle has maximum efficiency of any heat cycle between the same two reservoirs (12:02) |
Lecture 13![]() Play Video |
Heat Transfer Mechanisms This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - heat transfer by conduction (0:42) - definition of thermal conductivity (3:29) - heat transfer by convection (10:52) - heat transfer by thermal radiation (17:28) - the Stefan-Boltzmann law (21:08) - the black-body radiation spectrum (Planck distribution) (27:52) |
Lecture 14![]() Play Video |
Drinking Bird This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - definition of vapour pressure (0:40) - definition of relative humidity (11:50) - evaporative cooling (19:58) - analysis of the 'drinking bird' (28:35) |
Lecture 15![]() Play Video |
Introduction to Probability This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - definition of a probability space (1:50) - continuous probability spaces -- probability density (16:50) - definition of expectation, mean and variance (20:39) |
Lecture 16![]() Play Video |
Joint Probabilities This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - how to combine probability spaces (0:05) - definition of independent variables (8:05) - theorem about mean and variance of a sum of random variables (14:19) - the Binomial distribution (17:30) |
Lecture 17![]() Play Video |
The Normal Distribution This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - definition of the Normal Distribution (0:01) - calculation of total probability (3:58), mean (7:22), and variance (11:00) |
Lecture 18![]() Play Video |
Central Limit Theorem This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. Link to the slides used in this lecture: https://drive.google.com/file/d/0B8hDfVvVdCImYUF2aUoxVU9ZWFU... This lecture includes: - statement of the Central Limit Theorem (0:00) - discussion of CLT (5:27) - examples of CLT (11:02) - relevance of CLT to statistical mechanics (21:05) |
Lecture 19![]() Play Video |
Combinatorics This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - number of ways to arrange n distinguishable balls in a line (1:02) - number of ways to arrange k (indistinguishable) red balls and (n-k) (indistinguishable) blue balls in a line (6:30) - application to Binomial distribution (19:15) - number of ways to place n indistinguishable balls into s distinguishable buckets (22:58) |
Lecture 20![]() Play Video |
Quantum States This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - energy quantization (0:42) - energy levels of a free particle in a 1D box (6:00) - energy levels of a free particle in a 3D cubic box (13:02) - energy levels of a harmonic oscillator (21:17) - energy levels of a rotator (23:18) - multi-particle states: bosons and fermions (30:12) |
Lecture 21![]() Play Video |
The Fundamental Postulate This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. Link to the slides used in this lecture: 1. https://drive.google.com/file/d/0B8hDfVvVdCImbWhGRHNvTWFfWVk... 2. https://drive.google.com/file/d/0B8hDfVvVdCImbEdLc0ZqYTc2Q3M... This lecture includes: - examples of microstates in two simple systems (0:01) - assumptions about scattering between microstates (7:24) - the Fundamental Postulate of Statistical Mechanics (12:04) - a simple example (14:14) - a slightly more complicated example (26:40) |
Lecture 22![]() Play Video |
The Thermodynamic Limit This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - thermodynamic limit of the ideal paramagnet (0:28) - general discussion of the thermodynamic limit (25:00) |
Lecture 23![]() Play Video |
Two Systems at Equilibrium This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - effects of heat exchange between two systems on their mutual accessible microstates (0:20) - derivation of the distribution of energy from the fundamental postulate (9:05) - Energy distribution in the thermodynamic limit (27:37) - Proof that statistical definition of temperature implies that at equilibrium the temperatures of the two systems are equal (31:30) |
Lecture 24![]() Play Video |
Statistical Definition of Temperature This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - review of previous lecture (0:00) - statistical definitions of entropy and temperature (3:02) - discussion of systems out of equilibrium and validity of fundamental postulate (10:30) |
Lecture 25![]() Play Video |
Ideal Paramagnet I This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - definition of the ideal, spin 1/2 paramagnet (0:00) - entropy of the ideal paramagnet - calculation (5:28) - Stirling's approximation (10:05) - entropy of the ideal paramagnet - result (19:08) - temperature of the ideal paramagnet (21:25) - discussion of negative temperatures (29:05), (34:08) |
Lecture 26![]() Play Video |
Ideal Paramagnet II This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. Link to the slides used in this lecture: https://drive.google.com/file/d/0B8hDfVvVdCImQUgzVVpvS19mZ1E... This lecture includes: - review of previous lecture (0:00) - magnetization as a function of field and temperature (4:40) - heat capacity of ideal paramagnet (11:20) - magnetic susceptibility of ideal paramagnet (18:05) - Curie's law (23:00) - simulation of paramagnets' approach to equilibrium (27:05) |
Lecture 27![]() Play Video |
The Canonical Ensemble This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - motivation for the canonical ensemble (0:00) - statistical mechanics of a system connected to a thermal reservoir (5:30) - definition of the canonical partition function (16:36) - definition of the Boltzmann factor (19:15) - properties of the canonical partition function (23:42) |
Lecture 28![]() Play Video |
The Canonical Ensemble II This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - calculation of the mean internal energy at thermal equilibrium (1:15) - partition function of the ideal paramagnet (12:45) - mean internal energy of the ideal paramagnet (21:20) |
Lecture 29![]() Play Video |
Helmholtz Free Energy This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - definition of Helmholtz Free Energy (0:00) - Relationship between the Helmholtz Free Energy and the Canonical Partition Function in the thermodynamic limit (7:55) - Relationship between the Helmholtz Free Energy and other thermodynamic properties (18:38) |
Lecture 30![]() Play Video |
Non-interacting Distinguishable Particles This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - definition of a system of non-interacting, distinguishable particles (1:05) - calculation of the canonical partition function of such a system (6:25) |
Lecture 31![]() Play Video |
Ideal Gas: Indistinguishability This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - Review of energy levels of non-interacting particles in a box (0:53) - Canonical Partition function for a gas of non-interacting distinguishable particles (3:13) - How indistinguishability affects numbers of microstates (5:05) - Approximate relationship between distinguishable and indistinguishable particle microstates at high temperatures (15:07) - Summary (21:32) |
Lecture 32![]() Play Video |
Ideal Gas: Density of States This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - Review of previous lecture (0:00) - Introduction to density of states approximation (5:34) - Definition of density of states (15:55) - Calculation of density of states for the ideal gas (19:12) - Checking when the density of states approximation is valid (31:15) - Summary (37:55) |
Lecture 33![]() Play Video |
Ideal Gas: Partition Function This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - Definition and properties of the Gamma function (4:10) - Calculation of the final form of the ideal gas partition function (10:15) - Derivation of ideal gas equations of state (11:57) - Derivation of the entropy (Sackur–Tetrode equation) (20:07) |
Lecture 34![]() Play Video |
Ideal Gas: Summary This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This short video is a summary of the calculation of the partition function for the ideal monatomic gas (which was covered in lectures 30-33). |
Lecture 35![]() Play Video |
Combining Excitation Modes This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - Vibrational and rotational excitations of diatomic molecules (1:57) - Splitting the partition function into translational, rotational and vibrational parts (4:07) - Splitting the Free Energy and Internal Energy into translational, rotational and vibrational parts (11:25) |
Lecture 36![]() Play Video |
Rotational Modes of Diatomic Molecules This is a (revised) video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - Energy levels of a rotator (1:20) - Rotational partition function for a diatomic gas (4:42) - Calculation of density of states (8:28) - Heat capacity in the high-temperature limit (14:26) - Heat capacity in the low-temperature limit (18:42) - Heat capacity curve (at arbitrary temperature) (26:43) - Consideration of Bosonic and Fermionic statistics for homogeneous molecules (31:30) |
Lecture 37![]() Play Video |
Vibrational Modes of Diatomic Molecules This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - Model of vibrational excitations in a diatomic gas (0:00) - Calculation of the canonical partition function (2:55) - Calculation of the internal energy and heat capacity (6:08) - Low and high temperature limits of the heat capacity (11:38) |
Lecture 38![]() Play Video |
Heat Capacity of a Diatomic Gas This is a video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. Link to the slides used in this lecture (starts from slide 7): https://drive.google.com/file/d/0B8hDfVvVdCImNUh5V0kxMElpSUU... This lecture includes: - Partition Function, Internal Energy and Heat Capacity of an ideal diatomic gas (0:00) - Translational, rotational, and vibrational contributions to heat capacity (2:54) - Comparison of out theoretical result to experiment and the equipartition theorem (8:42) |
Lecture 39![]() Play Video |
Quantum effects on the rotat This is a (revised) video of part of a lecture course in thermal and statistical physics I taught at the Catholic University of Korea in 2013. This lecture includes: - Review of rotational modes (0:00) - Rotational Eigenfunctions (spherical harmonics) (1:46) - Bosonic and Fermionic Wavefunctions (6:44) - Rotational modes of an oxygen molecule (11:59) - Effects of nuclear spin on rotational modes - example of a hydrogen molecule (13:33) - Heat capacity of a diatomic hydrogen gas (28:14) |