Fisica | STATISTICAL PHYSICS

cod. 0512600007

STATISTICAL PHYSICS

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

PERCORSO COMUNE Cohort 2015/2016

	OBBLIGATORIO
	YEAR OF COURSE 3
	YEAR OF DIDACTIC SYSTEM 2010
	PRIMO SEMESTRE

TEACHING UNITS

SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
FIS/02	5	40	LESSONS	SUPPLEMENTARY COMPULSORY SUBJECTS
FIS/02	1	12	EXERCISES	SUPPLEMENTARY COMPULSORY SUBJECTS

	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.

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.

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.

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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