Physics 351    Thermal Physics      Spring 2018

General:  “Thermal Physics” is an introduction to thermodynamics and statistical mechanics.  Three model systems, namely, an ideal gas, an Einstein solid, and a two-state paramagnet, will be used as examples to introduce and illustrate various thermodynamic concepts.  The course will begin with the review of some of the familiar concepts related to the conservation of energy (the first law) as applied to thermodynamics.  Quantities such as temperature (T), internal energy (U), work (W) and heat (Q) will be introduced.  Then, the idea of accessible states, multiplicity (Ω) and entropy (S) will be introduced.  The connection between the multiplicity and the second law of thermodynamics will be established.  Precise relation between temperature and entropy will be given by considering interactions between two macroscopic systems.  The first and second laws are then applied to the discussion of engines and refrigerators.  Phase transitions and equilibrium between states of matter will be the next main topic.  Finally, introductions to classical Boltzmann statistics and quantum statistics wrap up the course.

The tentative outline given above will follow in order of the topics given in the textbook except 1.7, 5.5, 5.6, Sommerfeld expansion in 7.3, 7.5 and chapter 8.  Class periods will be used for lectures, discussions and example problems.  An approximate schedule is shown below.  Read the relevant contents before coming to class.  Lecture notes will be posted after each lecture. Homework assignments will be announced on the course home page.  It will be your responsibility to check the home page regularly.  The assignments will be collected and graded.  There will be one mid-term and one final exam.

Grades are available on Gradebook
.You need your Rutgers NetID and password to login. To accommodate the possibility that you have a legitimate reason to have missed an assignment, your lowest homework score will be dropped, i.e. only 10 highest homework scores will be counted toward your final grade. Therefore, there is NO makeup for homework assignments.

Warm-up: Problems on the Ideal Gas Law (solution)
Binomial distribution.

back
 
Lecture Date
Topic
Ch.
HW
HW Solution

1 (pdf)

1/17 W

Introduction, Temperature, Ideal gas law

1.1-1.3



2 (pdf)

1/19 F

Kinetic theory of Ideal Gas, Degree of freedom, The 1st law of thermodynamics

1.4-1.6



3 (pdf)

1/24 W

Quasi-static processes of Ideal gas, Enthalpy

1.5

HW1

HW1

4 (pdf)

1/26 F

Combinatorics, Probability and Multiplicity of 2-state paramagnet 

2.2, 2.6, 3.1



5 (pdf)

1/31 W

Einstein solids, Entropy and temperature

2.3, 2.6, 3.2

HW2

HW2

6 (pdf) 2/2 F The 2nd and 3rd Laws of Thermodynamics 2.5,3.5


7 (pdf)

2/7 W

Multiplicity and Entropy of monatomic Ideal Gas

2.5-2.6

HW3

HW3

8 (pdf)

2/9 F

Thermodynamic Identities

3.4-3.6




2/14 W

Systems with a “Limited” Energy Spectrum

3.3

HW4

HW4

10

2/16 F

Ideal Heat Engine and Refrigerators (Carnot cycle)

  4.1,4.2



11 (pdf)

2/21 W

Real Heat Engines and Refrigerators

4.3

HW5

HW5

11 (pdf)

2/23 F

Refrigerators and towards Absolute Zero

4.4



12 (pdf)

2/28 W

Free Energy as a Force toward Equilibrium and as available Work

5.1,5.2

HW6

HW6

13 (pdf)

3/2 F

Review Ch. 1-4 (practice exam)





3/7 W

Cancelled


HW7

HW7

 

3/9 F

Midterm



Midterm

Spring Break

14(pdf)

3/21 W

Phase transformation of pure substance

 5.3



15(pdf)

3/23 F

van der Waals Gas model

5.3



16(pdf)

3/28 W

Phase transformation of mixtures

5.4

HW8

HW8

17 (pdf)

3/30 F

Boltzmann Statistics and Canonical Ensembles

6.1, 6.2


18 (pdf)

4/4 W

Continuous Spectrum, Density of States, and  Equipartition

6.3-6.7

HW9

HW9

19 (pdf)

4/6 F

Grand canonical ensemble, Statistics of quantum ideal gas,

7.1, 7.2



20 (pdf)

4/11 W

Fermion and boson gas

7.2

HW10

HW10

21 (pdf)

4/13 F

Degenerate Fermi Gas

7.3



22 (pdf)

4/18 W

Bose-Einstein Condensation

7.6

HW11

HW11

23 (pdf)

4/20 F

Blackbody Radiation

7.4



24

4/25 W

Overview, Practice problems

5-7

HW12

HW12

25

4/27 F

Practice problem solutions

1-7



05/09

Final, 4-7 PM



Final


Extra readings: