# Fisica | STATISTICAL PHYSICS

## Fisica STATISTICAL PHYSICS

 0512600007 DIPARTIMENTO DI FISICA "E.R. CAIANIELLO" EQF6 PHYSICS 2017/2018

 OBBLIGATORIO YEAR OF COURSE 3 YEAR OF DIDACTIC SYSTEM 2010 PRIMO SEMESTRE
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY FIS/02 5 40 LESSONS SUPPLEMENTARY COMPULSORY SUBJECTS FIS/02 1 12 EXERCISES SUPPLEMENTARY COMPULSORY SUBJECTS
 GAETANO BUSIELLO T
Objectives
THE COURSE AIMS AT THE ANALYSIS AND APPLICATION OF THE FUNDAMENTAL STATISTICAL LAWS WHICH GOVERN THE BEHAVIOUR OF THE MANY-PARTICLE SYSTEMS.

KNOWLEDGE AND UNDERSTANDING:
THE OBJECTIVE IS THE UNDERSTANDING OF THE LAWS OF THERMODYNAMICS AND HOW THEY REGULATE MACROSCOPIC PHYSICAL PROCESSES, WITH A SPECIAL ATTENTION TO ENERGY, VOLUME, AND PARTICLE EXCHANGE BETWEEN SYSTEMS AND TO TRANSFORMATIONS OF ENERGY. THE DEVELOPMENT OF TOOLS FOR CHARACTERIZING BULK MATTER AT THE MACROSCOPIC LEVEL IS ALSO PURSUED.

APPLYING KNOWLEDGE AND UNDERSTANDING:
STUDENTS WILL UNDERSTAND, ON A GENERAL GROUND AND SOLVING SPECIFIC PROBLEMS, THE RELATIONSHIP BETWEEN THE MACROSCOPIC LAWS OF THERMODYNAMICS AND THE MICROSCOPIC APPROACH WHICH IS AT THE BASIS OF STATISTICAL MECHANICS.
Prerequisites
IN ORDER TO UNDERSTAND AND APPLY THE SUBJECTS , IT IS
OBLIGATORY TO GIVE THE FOLLOWING EXAMS: MATHEMATICAL ANALYSIS I, II- GENERAL PHYSICS I, II - CHEMISTRY - GEOMETRY
Contents
BASIC ELEMENTS OF THEORY OF PROBABILITY AND CENTRAL LIMIT THEOREM
CLASSICAL THERMODYNAMICS: THE FIRST LAW - THE SECOND LAW - THERMODYNAMIC POTENTIALS AND MAXWELL'S RELATIONS - FREE ENERGY - LEGENDRE TRANSFORMATIONS - MAXWELL RELATIONS.
CLASSICAL STATISTICAL MECHANICS : MICROSTATES AND MACROSTATES - PHASE SPACE AND LIOUVILLE THEOREM- THE DERIVATION OF THE BOLTZMANN DISTRIBUTION - STATISTICAL ENSEMBLES : MICROCANONICAL, CANONICAL AND GRAND-CANONICAL - THE PARTITION PARTITION AND ITS CONNECTION WITH THERMODYNAMICS.
APPLICATIONS: THE IDEAL CLASSICAL GAS, THE SPIN-½ PARAMAGNET, THE EQUIPARTITION THEOREM ,BIATOMIC MOLECULE.
INTRODUCTION TO QUANTUM STATISTICAL MECHANICS : DENSITY MATRIX AND ITS PROPERTIES – FERMI AND BOSE
DISTRIBUTIONS – CLASSICAL LIMIT .
APPLICATIONS: FERMI AND BOSE GAS, BIATOMIC MOLECULE.

Teaching Methods
THE TEACHING ENVISAGES THEORETICAL FRONTAL LESSONS OF 40 HOURS (5 CFU), WHICH ARE FLANKED BY ANOTHER 12 HOURS OF CLASSROOM EXERCISES (1 CFU) ADDRESSED TO THE PROBLEM SOLVING.
Verification of learning
THE ACHIEVEMENT OF THE OBJECTIVES IS VERIFIED BY THE PASSING OF AN EXAMINATION WITH EVALUATION IN THIRTIETHS. THE EXAMINATION INCLUDES A WRITTEN AND AN ORAL TEST.
THE WRITTEN TEST IS PREPARATORY TO THE ORAL ONE AND IS ORGANIZED WITH TESTS CONSISTING IN THE SOLUTION OF TWO OR THREE PROBLEMS PERTAINING TO THE THEORETICAL ARGUMENTS CARRIED OUT UNTIL THAT TIME.
THE PASSING OF THIS TESTS IS CARRIED OUT WITH A MINIMUM ASSESSMENT OF 18/30 (ALTOGETHER) AND IT GIVES ACCESS TO THE ORAL TEST CONSISTING OF AN INTERVIEW WITH QUESTIONS ABOUT THE TOPICS OF THE TEACHING PROGRAMME.
Texts
- K. HUANG, “MECCANICA STATISTICA” , ZANICHELLI, 1977
- L.D.LANDAU, E.M.LIFSITS, L.P.PITAEVSKIJ, “FISICA STATISTICA I “ ED. RIUNITI ,1986
- L.E.REICHL, “A MODERN COURSE IN STATISTICAL PHYSICS” EDWARD ARNOLD PUBLISHERS
LTD, 1980
- LECTURE NOTES
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