The course aims to give an overview of modern developments in statistical mechanics. In particular, starting from the theory of phase transitions and critical phenomena, we want to show how the concepts underlying the method of the re-normalization group emerged. This method is now widely used in various fields of statistical mechanics. The critical phenomena constitute the classical application of the method, which is illustrated in detail in the first 6 credits of the course. These first 6 credits can therefore be used by multiple addresses. The remaining 2 credits focus on more recent applications of the method in the field of matter physics.
Curriculum
teacher profile teaching materials
Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
by Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Fruizione: 20401425 MECCANICA STATISTICA in Fisica LM-17 R LUPI LAURA
Programme
1st module program (6 credits)Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
Core Documentation
Statistical Mechanics and Applications in Condensed Matterby Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Type of delivery of the course
frontal lessons on the blackboardAttendance
Attendance is not mandatory, but it's always highly recommended.Type of evaluation
The final examination consists of an oral exam covering three main topics, one from each of the three parts of the syllabus. Additional follow-up questions may be asked during the examination. The final grade will be based on an overall assessment of the student’s knowledge and performance across the three topics and will not necessarily be the arithmetic average of the individual assessments. teacher profile teaching materials
Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
by Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Fruizione: 20401425 MECCANICA STATISTICA in Fisica LM-17 R LUPI LAURA
Programme
1st module program (6 credits)Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
Core Documentation
Statistical Mechanics and Applications in Condensed Matterby Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Type of delivery of the course
frontal lessons on the blackboardAttendance
Attendance is not mandatory, but it's always highly recommended.Type of evaluation
The final examination consists of an oral exam covering three main topics, one from each of the three parts of the syllabus. Additional follow-up questions may be asked during the examination. The final grade will be based on an overall assessment of the student’s knowledge and performance across the three topics and will not necessarily be the arithmetic average of the individual assessments. teacher profile teaching materials
Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
by Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Fruizione: 20401425 MECCANICA STATISTICA in Fisica LM-17 R LUPI LAURA
Programme
1st module program (6 credits)Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
Core Documentation
Statistical Mechanics and Applications in Condensed Matterby Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Type of delivery of the course
frontal lessons on the blackboardAttendance
Attendance is not mandatory, but it's always highly recommended.Type of evaluation
The final examination consists of an oral exam covering three main topics, one from each of the three parts of the syllabus. Additional follow-up questions may be asked during the examination. The final grade will be based on an overall assessment of the student’s knowledge and performance across the three topics and will not necessarily be the arithmetic average of the individual assessments. teacher profile teaching materials
Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
by Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Fruizione: 20401425 MECCANICA STATISTICA in Fisica LM-17 R LUPI LAURA
Programme
1st module program (6 credits)Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
Core Documentation
Statistical Mechanics and Applications in Condensed Matterby Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Type of delivery of the course
frontal lessons on the blackboardAttendance
Attendance is not mandatory, but it's always highly recommended.Type of evaluation
The final examination consists of an oral exam covering three main topics, one from each of the three parts of the syllabus. Additional follow-up questions may be asked during the examination. The final grade will be based on an overall assessment of the student’s knowledge and performance across the three topics and will not necessarily be the arithmetic average of the individual assessments. teacher profile teaching materials
Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
by Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Fruizione: 20401425 MECCANICA STATISTICA in Fisica LM-17 R LUPI LAURA
Programme
1st module program (6 credits)Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
Core Documentation
Statistical Mechanics and Applications in Condensed Matterby Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Type of delivery of the course
frontal lessons on the blackboardAttendance
Attendance is not mandatory, but it's always highly recommended.Type of evaluation
The final examination consists of an oral exam covering three main topics, one from each of the three parts of the syllabus. Additional follow-up questions may be asked during the examination. The final grade will be based on an overall assessment of the student’s knowledge and performance across the three topics and will not necessarily be the arithmetic average of the individual assessments. teacher profile teaching materials
Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
by Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Fruizione: 20401425 MECCANICA STATISTICA in Fisica LM-17 R LUPI LAURA
Programme
1st module program (6 credits)Introduction to thermodynamics.
Thermodynamic potentials.
Phase transitions and Van der Waals equation.
Fluctuations and stability.
Phase transitions and thermodynamic limit.
Microscopic derivation of the Van der Waals equation.
Critical point behavior of the Van der Waals equation.
Curie-Weiss theory of ferromagnetism.
Landau theory of second species transitions.
Ginzburg criterion for the validity of the middle field theory.
The role of symmetry and dimensionality: the theorem of Mermin-Wagner.
Renormalization team.
Kadanoff-Wilson transformation.
Calculation of fixed points for the Landau-Wilson model and development in epsilon.
Core Documentation
Statistical Mechanics and Applications in Condensed Matterby Carlo Di Castro and Roberto Raimondi
Cambridge University Press 2015
ISBN: 9781107039407
Type of delivery of the course
frontal lessons on the blackboardAttendance
Attendance is not mandatory, but it's always highly recommended.Type of evaluation
The final examination consists of an oral exam covering three main topics, one from each of the three parts of the syllabus. Additional follow-up questions may be asked during the examination. The final grade will be based on an overall assessment of the student’s knowledge and performance across the three topics and will not necessarily be the arithmetic average of the individual assessments.