Università degli Studi di Perugia

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Unit STATISTICAL MECHANICS

Course
Physics
Study-unit Code
GP005535
Curriculum
Fisica teorica
Teacher
Maria Cristina Diamantini
Teachers
  • Maria Cristina Diamantini - Didattica Ufficiale
Hours
  • 42 ore - Didattica Ufficiale - Maria Cristina Diamantini
CFU
6
Course Regulation
Coorte 2018
Offered
2018/19
Learning activities
Affine/integrativa
Area
Attività formative affini o integrative
Sector
FIS/02
Type of study-unit
Opzionale (Optional)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
Italian
Contents

Thermodynamics. Theory of phase transitions. Gas kinetic theory. Classical statistical mechanics. Black-body radiation and problems with classical statistical mechanics. Quantum statistical mechanics. Bose gas and Fermi gas.
Reference texts

1)"Statitistical Mechanics" , K. Huang
2)"Statistical physics", L.D. Landau and E.M. Lifsits
3)"Statistical mechanics", R. K. Pathria
4)"Statistical mechanics", R. Kubo
Educational objectives

Acquisition of basic knowledges of classical and quantum statistics. Students should be able to compute the partition function for classical and quantum systems and derive the thermodynamic properties of these systems.
Prerequisites

Knowledges of thermodynamics and quantum mechanics
Teaching methods

Theory courses
Other information

None
Learning verification modality

Exercises sessions in class to verify comprehension
Extended program

1)Thermodynamics: laws of thermodynamics, entropy, thermodynamic potentials.
Theory of phase transitions.
2)Gas kinetic theory. Micro-and macro states. Liouville theorem. BBGKY hierarchy. H-theorem.
3)Classical statistical mechanics.
Microcanonical ensemble:probability density, entropy. Equipartition theorem. Gibbs paradox.
Canonical and grand canonical ensembles. Equivalence between mean value and most probable value.
Derivation of thermodynamics.
4)Quantum statistical mechanics. Density matrix.
Fermions and bosons.
Microcanonical, canonical and grand canonical ensembles.
Grand canonical Fermi gas.
Grand canonical Bose gas. Bose-Einstein condensation.
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