Thermal and Statistical Physics

Video Lectures

Displaying all 39 video lectures.
Lecture 1
Introduction to Thermal and Statistical Physics
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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
Measuring Temperature
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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
Absolute Zero, Heat Capacity
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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)
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Lecture 4
Phase Transitions
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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
Heat and Work
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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
Lecture 6
Heat Cycles
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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
More Heat Cycles
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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
The Ideal Gas
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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
Avagadro's Number and Equipartition Theorem
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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)
Lecture 10
Entropy
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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
Entropy and the Second Law
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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
Efficiency of Carnot Engine
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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
Heat Transfer Mechanisms
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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
Drinking Bird
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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
Introduction to Probability
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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
Joint Probabilities
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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
The Normal Distribution
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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
Central Limit Theorem
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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
Combinatorics
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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
Quantum States
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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
The Fundamental Postulate
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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
The Thermodynamic Limit
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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
Two Systems at Equilibrium
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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
Statistical Definition of Temperature
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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
Ideal Paramagnet I
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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
Ideal Paramagnet II
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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
The Canonical Ensemble
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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
The Canonical Ensemble II
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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
Helmholtz Free Energy
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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
Non-interacting Distinguishable Particles
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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
Ideal Gas: Indistinguishability
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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
Ideal Gas: Density of States
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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
Ideal Gas: Partition Function
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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
Ideal Gas: Summary
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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
Combining Excitation Modes
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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
Rotational Modes of Diatomic Molecules
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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
Vibrational Modes of Diatomic Molecules
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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
Heat Capacity of a Diatomic Gas
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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
Quantum effects on the rotat
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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)