logo-polimi
Loading...
Risorse bibliografiche
Risorsa bibliografica obbligatoria
Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2015/2016
Scuola Scuola di Ingegneria Industriale e dell'Informazione
Insegnamento 097621 - STATISTICAL PHYSICS
Docente Piazza Roberto
Cfu 10.00 Tipo insegnamento Monodisciplinare

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing Ind - Inf (1 liv.)(ord. 270) - MI (347) INGEGNERIA CHIMICA*AZZZZ097621 - STATISTICAL PHYSICS
Ing Ind - Inf (Mag.)(ord. 270) - BV (478) NUCLEAR ENGINEERING - INGEGNERIA NUCLEARE*AZZZZ097621 - STATISTICAL PHYSICS
Ing Ind - Inf (Mag.)(ord. 270) - MI (472) CHEMICAL ENGINEERING - INGEGNERIA CHIMICA*AZZZZ097621 - STATISTICAL PHYSICS
Ing Ind - Inf (Mag.)(ord. 270) - MI (486) ENGINEERING PHYSICS - INGEGNERIA FISICA*AZZZZ097621 - STATISTICAL PHYSICS
Ing Ind - Inf (Mag.)(ord. 270) - MI (491) MATERIALS ENGINEERING AND NANOTECHNOLOGY - INGEGNERIA DEI MATERIALI E DELLE NANOTECNOLOGIE*AZZZZ097621 - STATISTICAL PHYSICS

Programma dettagliato e risultati di apprendimento attesi

SUBJECT AND AIMS OF THE COURSE

The course is an introduction to the application of statistical and probabilistic methods in physics, mainly aimed to provide microscopic bases to the macroscopic thermodynamic behaviour. By analyzing simple systems, characterized by independent degrees of freedom, the statistical distributions suitable to investigate isolated, closed, an open thermodynamic systems are first introduced. Concepts and methods developed in the first part are then applied both to the microscopic description of materials such as liquids, plasmas, magnetic and disordered solids, and to the investigation of physical effects of technological interest, like phase transitions, superfluidity, and superconductivity. The course is organized as a series standard classroom lectures, in which the main theoretical arguments are developed, supported by the discussion of specific applications, to be regarded as exercitations

DETAILED CONTENTS

 

1. Review of probability and statistics. Probability distributions of interest in physics. Statistical entropy. Brownian motion as a paradigm of stochastic processes in physics.

 

2. From the macroworld to the microworld. Review of thermodynamics. Physical description of classical and quantum many-particle systems . Phase space and Liouville theorem. Density of quantum microstates and its dependence on total energy.

 

3. Foundations of statistical mechanics. Boltzmann fundamental postulate. Microcanonical distribution and thermodynamics.. Gibbs paradox and Maxwell-Boltzmann (MB) approximation.

4. Closed systems and canonical distribution. Partition function and free Energy. Average value and fluctuations of internal variables. Canonical distribution for independent particles and system of indistinguishable particles. Classical monatomic gas. Polyatomic gases. Einstein and Debye models for the specific heat of solids. Phonons in solids. Paramagnetism and diamagnetism. Bohr-van Leewen theorem.

5. Mean field theories. Van der Waals model of the liquid-gas transition. Ferromagnetism and Curie-Weiss theory. Plasmas in the Debye-Hückel approximation.

 

6. Open systems and gran-canonical distribution. Chemical potential. Langmuir adsorption isotherm. Inhomogeneous systems and local chemical potential. Quantum statistics. Weakly-degenerate gases. Fermi gas and Sommerfeld theory for electrons in metals. Degenerate Bose gas and Bose-Einstein (BE) condensation. Laser cooling and BE condensation in dilute gases confined by magneto-optical traps .

 

7. Highly correlated systems. Liquid structure. Density correlations and structure factor. Superfluidity in 4He and Landau-Tisza phenomenological model. Superconductivity (hints).

 

 

 

 

 


Note Sulla Modalità di valutazione

The final test consists of astandardl oral exam.


Bibliografia
Risorsa bibliografica obbligatoriaRoberto Piazza, Note di fisica statistica (con qualche accordo), Editore: Springer Italia, Anno edizione: 2011, ISBN: 978-8847019645
Note:

This is the main textbook used in the former Italian version of the course. An English traslation may possibly be available by the end of this academic year.

Risorsa bibliografica facoltativaRalph Baierlein, Thermal Physics , Editore: Cambridge University Press, Anno edizione: 1999, ISBN: 978-0521658386
Note:

A good introduction to Statistical Physics

Risorsa bibliografica facoltativaFrederick Reif, Fundamentals of Statistical and Thermal Physics, Editore: Waveland Pr Inc, Anno edizione: 2008, ISBN: 978-1577666127
Note:

A "classic" and still very valid textbook of Statistical Mechanics

Risorsa bibliografica obbligatoriaD. L. Goostein, States of Matter, Editore: Dover Publications, Anno edizione: 2014, ISBN: 978-0486649276
Note:

A very good textbook concerning the applications of statistical methods to condensed matter physics


Mix Forme Didattiche
Tipo Forma Didattica Ore didattiche
lezione
72.0
esercitazione
24.0
laboratorio informatico
0.0
laboratorio sperimentale
0.0
progetto
0.0
laboratorio di progetto
0.0

Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
Disponibilità di libri di testo/bibliografia in lingua inglese
Possibilità di sostenere l'esame in lingua inglese
schedaincarico v. 1.6.5 / 1.6.5
Area Servizi ICT
20/06/2021