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Course: PHYS 445, Spring 2008
School: Simon Fraser
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Word Count: 1133

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445 PHYS Lecture 8 - Interacting systems Lecture 8 - Interacting systems What's Important: equilibrium and reversibility systems in interaction Text: Reif 8-1 Constraints and (Reif, Sec. 3.1; not covered in class) Suppose that two systems are brought in contact, and a constraint that isolated them is removed. How do we describe theoretically what happens? For example, consider what happens when a thermal...

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Simon Fraser - PHYS - 445
PHYS 445 Lecture 9 - Temperature and specific heat Lecture 9 - Temperature and specific heat What's Important: thermal equilibrium temperature zeroth law of thermodynamics equipartition theorem specific heat of an ideal gas Text: Reif Approach to equilibr
Simon Fraser - PHYS - 445
PHYS 445 Lecture 10 - Systems in thermal contact Lecture 10 - Systems in thermal contact What's Important: heat flow heat reservoirs thermal contact mechanical contact Text: Reif Heat flow (not covered in class)10 - 1This result is rather intuitive, but
Simon Fraser - PHYS - 445
PHYS 445 Lecture 11 - Thermodynamics Lecture 11 - Thermodynamics What's Important: laws of thermodyncamics determination of kB why does thermodynamics work? Text: Reif Laws of thermodynamics11 - 1Starting with the microscopic picture of statistical mech
Simon Fraser - PHYS - 445
PHYS 445 Lecture 12 - Ensembles Lecture 12 - Ensembles12 - 1What's Important: ensembles spin - 1/2 particles in a magnetic field Text: Reif Demonstrations: magnet and compasses on an overhead projector magnetization and temperature - use Monel (Ni+Cu) a
Simon Fraser - PHYS - 445
PHYS 445 Lecture 13 - Partition function Z Lecture 13 - Partition function Z What's Important: partition function fluctuations and specific heat work and Z entropy and Z Text: Reif Partition function13 - 1The sum over the Boltzmann factors exp(-Er) appe
Simon Fraser - PHYS - 445
PHYS 445 Lecture 14 - Grand canonical ensemble Lecture 14 - Grand canonical ensemble What's Important: weakly interacting systems entropy and probability grand canonical ensemble Text: Reif14 - 1Secs. 6.7 and 6.8 on approximation techniques can be read
Simon Fraser - PHYS - 445
PHYS 445 Lecture 15 - Equipartition theorem Lecture 15 - Equipartition theorem What's Important: equipartition theorem applications: ideal gas, harmonic oscilator, 3D lattice Text: Reif Skip Secs. 7.1 to 7.4 Cheap tricks: equipartition theorem15 - 1A si
Simon Fraser - PHYS - 445
PHYS 445 Lecture 16 - Quantum oscillators Lecture 16 - Quantum oscillators What's Important: quantum oscillator at T &gt; 0 continuous quantum states Text: Reif Quantum oscillators16 - 1In the previous lecture we used the classical equipartition theorem to
Simon Fraser - PHYS - 445
PHYS 445 Lecture 17 - Ideal gas in detail Lecture 17 - Ideal gas in detail What's Important: phase space of non-interacting particles Maxwell-Boltzmann distribution Text: Reif Phase space of non-interacting particles17 - 1An ideal gas is one in which pa
Simon Fraser - PHYS - 445
PHYS 445 Lecture 18 - Maxwell-Boltzmann distribution Lecture 18 - Maxwell-Boltzmann distribution What's Important: mean speeds molecular flux Text: Reif Mean speeds18 - 1The Maxwell-Boltzmann speed distribution that was derived in the previous lecture h
Simon Fraser - PHYS - 445
PHYS 445 Lecture 19 - MB continued Lecture 19 - MB continued What's Important: pressure of an ideal gas Text: Reif Pressure of an ideal gas Our picture of an ideal gas hitting a wall is19 - 1z - directionWith each collision, an amount of momentum 2mvz
Simon Fraser - PHYS - 445
PHYS 445 Lecture 20 - Quantum statistics Lecture 20 - Quantum statistics What's Important: quantum statistics Text: Reif Quantum statistics20 - 1The quantum approach to mechanics can be formulated in a statistical form using expectation values or means.
Simon Fraser - PHYS - 445
PHYS 445 Lecture 21 - Indistinguishable particles Lecture 21 - Indistinguishable particles What's Important: number distributions for MB, photons. Text: Reif Secs. 9.4-9.7; skip 9.321 - 1In the previous lecture, we established that the mean number densi
Simon Fraser - PHYS - 445
PHYS 445 Lecture 22 - Bosons Lecture 22 - Bosons What's Important: partition function number distribution condensation Text: Reif Boson partition function22 - 1We now tackle the general problem of Bose-Einstein statistics. The situation is more difficul
Simon Fraser - PHYS - 445
PHYS 445 Lecture 23 - Fermions Lecture 23 - Fermions23 - 1What's Important: Fermi-Dirac statistics comparisons among distributions Fermi energy Text: ReifFermi-Dirac statistics The Fermi-Dirac distribution can be handled in a similar way to the Bose-Ei
Simon Fraser - PHYS - 445
PHYS 445 Lecture 24 - Density of states Lecture 24 - Density of states What's Important: density of states in phase space Text: Reif Counting quantum states24 - 1Some time back, we said that we needed to introduce a &quot;density of states&quot; factor in order t
Simon Fraser - PHYS - 445
PHYS 445 Lecture 25 - T = 0 Fermi gas Lecture 25 - T = 0 Fermi gas What's Important: T = 0 Fermi gas metals neutron stars Text: Reif T=0 Fermi gas25 - 1The previous lecture for the density of states in phase space dealt only with the energetics, not the
Simon Fraser - PHYS - 445
PHYS 445 Lecture 26 - Black-body radiation I Lecture 26 - Black-body radiation I What's Important: number density energy density Text: Reif26 - 1In our previous discussion of photons, we established that the mean number of photons with energy i is 1 ni
Simon Fraser - PHYS - 445
PHYS 445 Lecture 27 - Black-body radiation II Lecture 27 - Black-body radiation II What's Important: radiation pressure radiative power Text: Reif Radiation pressure The general definition of the mean force ln Z = h which for the mean pressure implies ln
Simon Fraser - PHYS - 445
PHYS 445 Lecture 28 - Superfluids Lecture 28 - Superfluids What's Important: 4 He condensation superfluids Bose-Einstein condensation Text: Reif428 - 1He condensationAs 4He is cooled, it undergoes a phase transition to a liquid state (referred to as H
Simon Fraser - PHYS - 445
PHYS 445 Lecture 29 - Heat capacities in metals Lecture 29 - Heat capacities in metals What's Important: electrons in metals heat capacities Text: Reif Sec. 19.7; Kittel Chap. 729 - 1Heat capacities in metals are covered in two lectures. Here, the exper
Simon Fraser - PHYS - 445
PHYS 445 Lecture 30 - Low temperature Fermi gas Lecture 30 - Low temperature Fermi gas What's Important: heat capacity for ideal Fermi gas Text: Reif Heat capacity for ideal Fermi gas30 - 1This lecture contains a somewhat lengthy mathematical examinatio
Simon Fraser - PHYS - 445
PHYS 445 Lecture 31 - Interactions: Phase transitions Lecture 31 - Interactions: Phase transitions What's Important: galaxy formation galactic evolution Text: Reif Phase transitions31 - 1Most of the systems considered so far in this course have consiste
Simon Fraser - PHYS - 445
PHYS 445 Lecture 32 - Ising model Lecture 32 - Ising model What's Important: Ising model in 3D Text: Reif Ising model32 - 1In the previous lecture, we considered the effects of dimensionality on the existence of phase transitions, using a spin system as
Simon Fraser - PHYS - 445
PHYS 445 Lecture 33 - Non-ideal classical gases Lecture 33 - Non-ideal classical gases What's Important: non-ideal classical gases virial coefficient Text: Reif Non-ideal classical gases33 - 1The previous two lectures on phase transitions have dealt wit
Simon Fraser - PHYS - 445
PHYS 445 Lecture 34 - Van der Waals equation Lecture 34 - Van der Waals equation What's Important: B2 for hard spheres B2 for attraction and repulsion van der Waals equation Text: Reif Second virial coefficient34 - 1At the end of the previous lecture, w
Simon Fraser - PHYS - 445
PHYS 445 Supplement - Quick and dirty quantum mechanics Supplement - Quick and dirty quantum mechanics for PHYS 445 What's Important: old quantum theory particle in a 1-D box rigid rotor harmonic oscillator Old quantum theoryS-1A very simple approach to
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - M - 2326
University of Texas - CH - 2335
University of Texas - CH - 2335
University of Texas - CH - 2335
University of Texas - CH - 2335
University of Texas - CH - 2335
University of Texas - CH - 2335
University of Texas - CH - 2335
University of Texas - CH - 2335
University of Texas - CH - 2335