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PEM5149 - Statistical Physics

Form professor

Prof. Dr. Luiz Tadeu Fernandes Eleno

Workload

Theoretical Practical Study Duration Total Credits
4 hours/week 0 hours/week 8 hours/week 15 weeks 180 hours 12
See on Janus (pt-br)

Concentration area

97135 - Magnetism and Superconductivity

Objectives

Provide the student with the main concepts in Statistical Thermodynamics oriented to materials. After a review of the fundamental concepts of Classical Thermodynamics, the theoretical foundations of Statistical Physics and their application to material properties, such as modeling of thermal capacity, solid solutions and chemical-magnetic ordering, are treated. Throughout the course, a modern approach will be adopted, with the contextualized use of traditional methods in the area, such as Monte Carlo, Molecular Dynamics and Cluster Variation (CVM), in the form of application examples. The course will also address the calculation by first principles of thermochemical properties of materials, such as phase diagrams or thermal capacities of compounds.

Motivation

Statistical thermodynamics, as a discipline of Physics, has little more than a century of existence, having developed from the framework created by Josiah Willard Gibbs and Ludwig Boltzmann at the end of the 19th century, completed by seminal works by Planck, Einstein, Debye , Bohr, among other early 20th century physics pioneers. Its popularization in Engineering, however, occurred in the 1980s with the spread of personal computers. Nowadays Statistical Mechanics provides the theoretical foundation for numerous models used in engineering to investigate material properties. The course seeks to develop these theoretical foundations using examples of calculations using the Monte Carlo Method, the Cluster Variation Method and the Molecular Dynamics Method, discussing topics such as partition functions, critical phenomena and thermodynamic potentials in a concrete way.

Syllabus

Evaluation criteria

The arithmetic mean of exercises (weight 1) and a written assignment (weight 2) must be equal to or greater than 5, on a scale from 0 to 10.

References