| Guia docent Escola Tècnica Superior d'Enginyeria |
català |
| Grau en Enginyeria Matemàtica i Física (2021) |
 Assignatures |
| MECÀNICA ESTADÍSTICA |
| Continguts |
| DADES IDENTIFICATIVES | 2023_24 |
| Assignatura | MECÀNICA ESTADÍSTICA | Codi | 17274116 | |||||
| Ensenyament |
|
Cicle | 1r | |||||
| Descriptors | Crèd. | Tipus | Curs | Període | ||||
| 6 | Obligatòria | Tercer | 1Q |
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| Competències | Resultats d'aprenentage | Continguts |
| Planificació | Metodologies | Atenció personalitzada |
| Avaluació | Fonts d'informació | Recomanacions |
| Tema | Subtema |
| Introduction to Statistical Mechanics and Complex Systems | Overview of Statistical Mechanics: Understand the microscopic behavior of systems from the perspective of quantum mechanics and how it informs macroscopic behavior. The Role of Statistics: Explore how statistics play a role in predicting outcomes in a system and identifying underlying patterns. Complex Systems in Stat Mech: Study the ways complex systems can be understood using the principles of statistical mechanics, focusing on the statistical properties of systems comprised of a large number of particles. |
| Update on Probability Theory |
Basics Refreshed: Revision of basic concepts in probability theory relevant to statistical mechanics, such as events, outcomes, and probabilities. Bayesian Approach: Explore the Bayesian approach to probability, discussing concepts like prior probability, likelihood, and posterior probability. Probability Distributions: Understanding the importance and application of various probability distributions like Binomial, Poisson, Normal distributions in statistical mechanics. |
| Ensembles | Microcanonical Ensembles: Examine systems with constant energy, volume, and number of particles and explore the concept of equiprobability. Canonical Ensembles: Study systems with constant temperature, volume, and number of particles and delve into the Boltzmann distribution. Grand Canonical Ensembles: Explore systems with variable particle numbers and understand the concept of chemical potential. |
| Entropy and Thermodynamics | econd Law of Thermodynamics: Understand entropy's role as a measure of disorder and its relation to the second law of thermodynamics. Statistical Definition of Entropy: Analyze the statistical definition of entropy, including the Boltzmann, Gibbs, and Shannon entropy. Thermodynamic Potentials: Study the different thermodynamic potentials, their definitions, and their uses in various types of ensembles. |
| Ising Model and Related Systems | Ising Model Introduction: Introduce the Ising model as a simple model of a magnet and its applications in various fields. Phase Transitions and Critical Phenomena: Discuss phase transitions in the context of the Ising model, focusing on the concepts of critical temperature, critical exponents, and universality. Beyond the Ising Model: Explore more complex systems and models related to the Ising model, such as the Potts model and the XY model. |
