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Statistical Physics
      Part of B20SN2
Office: DB G.04
Dr. Sabrina Maniscalco        Tel: 0131 451 3053
Reader in Physics             email: S.Maniscalco@hw.ac.uk




Research fields:

Quantum Physics
Quantum Information Processing & Quantum Computers
Quantum Technologies
Open Quantum Systems
Book


Statistical and Thermal Physics
Harvey Gould & Jan Tobochnik

http://stp.clarku.edu/notes/

Questions: Mondays 3 pm - 4 pm
DB G.04
(Send an email before)
What is expected from you

THIS IS NOT AN EASY COURSE!
0) Attend all the classes
1) Study (hard) from the book
2) Use the slides as guidelines to remember the
contents of the lectures and NOT as study
material
3) Ask questions and interrupt me if you don’t
understand something
4) Do all the problems of the tutorials
5) Give feedback on the lectures
6) Exam: Three Problems on the Statistical Physics
part. Math is not simple.
Microscopic and Macroscopic
Macroscopic
Macroscopic

                 Superconductors



Neutron star




  Stock Market
Different types of questions

                                              MACROSCOPIC - THERMODYNAMICS

1. How does the pressure of a gas depend on the temperature and the volume of its
container?
2. How does a refrigerator work? How can we make it more efficient?
3. How much energy do we need to add to a kettle of water to change it to steam?
4. Why are the properties of water different from those of steam, even though water




                                                                                      STATISTICAL MECHANICS
and steam
consist of the same type of molecules?
5. How and why does a liquid freeze into a particular crystalline structure?
6. Why does helium have a superfluid phase at very low temperatures? Why do some
materials exhibit zero resistance to electrical current at sufficiently low
temperatures?
7. In general, how do the properties of a system emerge from its constituents?
8. How fast does the current in a river have to be before its flow changes from
laminar to turbulent?
9. What will the weather be tomorrow?
NON-EQUILIBRIUM PHENOMENA
The goal of statistical mechanics




           The goal of statistical physics is to begin
           with the microscopic laws of physics
           that govern the behavior of the
           constituents of the system and deduce
           the properties of the system as a whole
The goal of statistical mechanics
Microscopic




              Macroscopic
A glass of HOT water
in a COLD ROOM
The arrow of time!
What other phenomena exhibit a
direction of time?

          Humpty Dumpty sat on a wall
          Humpty Dumpty had a great fall
          All the king’s horses and all the
          king’s men
          Couldn’t put Humpty Dumpty
          back together again.
Is there a direction of time for a single particle?

Newton’s second law is time reversal invariant

   dp
F=
   dt

        There is no direction of time at the
        microscopic level
The behaviors of macroscopic bodies and
single particles are very different
Why the reverse process does not occur?




  Conservation of Energy?

                              NO!
Energy is transferred from one degree of freedom
to many degrees of freedom while the total energy
is conserved



                             Increase in entropy
Conversion of stored energy into heating




                    No limit to the
                    efficiency of conversion
Conversion of stored energy into work
Conversion of stored energy into useful work
Can we convert stored energy into useful
work with 100% efficiency?

NO, we must necessarily
“waste” some of the energy
It is plausible that it is inefficient to transfer
energy from many degrees of freedom to only
a few. In contrast, the transfer of energy from a
few degrees of freedom (the firewood) to
many degrees of freedom (the air in your
room) is relatively easy
The second law of thermodynamics
    (historically conceived before the first law)




          The importance of entropy

     The direction of time

The inefficiency of converting stored energy into work
An increase of entropy is associated to a decrease in
the ability to do work
Richard Feynman (Nobel Prize
                      in Physics, 1965) talks about
                      “jiggling atoms”




http://www.bbc.co.uk/archive/feynman/10700.shtml
Statistical and Thermal Physics
Harvey Gould & Jan Tobochnik

http://stp.clarku.edu/notes/


Lecture 1: Chapter 1 pages 1-5

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Lecture 1

  • 1. Statistical Physics Part of B20SN2
  • 2. Office: DB G.04 Dr. Sabrina Maniscalco Tel: 0131 451 3053 Reader in Physics email: S.Maniscalco@hw.ac.uk Research fields: Quantum Physics Quantum Information Processing & Quantum Computers Quantum Technologies Open Quantum Systems
  • 3. Book Statistical and Thermal Physics Harvey Gould & Jan Tobochnik http://stp.clarku.edu/notes/ Questions: Mondays 3 pm - 4 pm DB G.04 (Send an email before)
  • 4. What is expected from you THIS IS NOT AN EASY COURSE! 0) Attend all the classes 1) Study (hard) from the book 2) Use the slides as guidelines to remember the contents of the lectures and NOT as study material 3) Ask questions and interrupt me if you don’t understand something 4) Do all the problems of the tutorials 5) Give feedback on the lectures 6) Exam: Three Problems on the Statistical Physics part. Math is not simple.
  • 7. Macroscopic Superconductors Neutron star Stock Market
  • 8. Different types of questions MACROSCOPIC - THERMODYNAMICS 1. How does the pressure of a gas depend on the temperature and the volume of its container? 2. How does a refrigerator work? How can we make it more efficient? 3. How much energy do we need to add to a kettle of water to change it to steam? 4. Why are the properties of water different from those of steam, even though water STATISTICAL MECHANICS and steam consist of the same type of molecules? 5. How and why does a liquid freeze into a particular crystalline structure? 6. Why does helium have a superfluid phase at very low temperatures? Why do some materials exhibit zero resistance to electrical current at sufficiently low temperatures? 7. In general, how do the properties of a system emerge from its constituents? 8. How fast does the current in a river have to be before its flow changes from laminar to turbulent? 9. What will the weather be tomorrow? NON-EQUILIBRIUM PHENOMENA
  • 9. The goal of statistical mechanics The goal of statistical physics is to begin with the microscopic laws of physics that govern the behavior of the constituents of the system and deduce the properties of the system as a whole
  • 10. The goal of statistical mechanics Microscopic Macroscopic
  • 11. A glass of HOT water in a COLD ROOM
  • 12. The arrow of time!
  • 13. What other phenomena exhibit a direction of time? Humpty Dumpty sat on a wall Humpty Dumpty had a great fall All the king’s horses and all the king’s men Couldn’t put Humpty Dumpty back together again.
  • 14. Is there a direction of time for a single particle? Newton’s second law is time reversal invariant dp F= dt There is no direction of time at the microscopic level
  • 15. The behaviors of macroscopic bodies and single particles are very different
  • 16. Why the reverse process does not occur? Conservation of Energy? NO!
  • 17. Energy is transferred from one degree of freedom to many degrees of freedom while the total energy is conserved Increase in entropy
  • 18. Conversion of stored energy into heating No limit to the efficiency of conversion
  • 19. Conversion of stored energy into work
  • 20. Conversion of stored energy into useful work
  • 21. Can we convert stored energy into useful work with 100% efficiency? NO, we must necessarily “waste” some of the energy
  • 22. It is plausible that it is inefficient to transfer energy from many degrees of freedom to only a few. In contrast, the transfer of energy from a few degrees of freedom (the firewood) to many degrees of freedom (the air in your room) is relatively easy
  • 23. The second law of thermodynamics (historically conceived before the first law) The importance of entropy The direction of time The inefficiency of converting stored energy into work
  • 24. An increase of entropy is associated to a decrease in the ability to do work
  • 25. Richard Feynman (Nobel Prize in Physics, 1965) talks about “jiggling atoms” http://www.bbc.co.uk/archive/feynman/10700.shtml
  • 26. Statistical and Thermal Physics Harvey Gould & Jan Tobochnik http://stp.clarku.edu/notes/ Lecture 1: Chapter 1 pages 1-5