ECTS credits ECTS credits: 3
ECTS Hours Rules/Memories Student's work ECTS: 51 Hours of tutorials: 3 Expository Class: 9 Interactive Classroom: 12 Total: 75
Use languages Spanish, Galician
Type: Ordinary subject Master’s Degree RD 1393/2007 - 822/2021
Center Faculty of Physics
Call: Second Semester
Teaching: Sin Docencia (Ofertada)
Enrolment: No Matriculable (Sólo Alumnado Repetidor)
-The course seeks to introduce students to the physics of critical phenomena, emphasizing both their basic conceptual understanding and their use as a tool for the analysis of physical systems in terms of their proximity to state transitions.
-Learning results:
Knowledge of the physics of critical phenomena and phase transitions. The student will receive instruction in that subject, including the aspects of phenomenological description, theory models, and experimental analysis. At the end of the course, students shall know how to identify and analyze a critical phenomenon, and also how to use it as a tool for the characterization of the material or system experiencing that critical phenomenon.
General description of the critical phenomena. Examples of phase transitions and critical phenomena (superconductors, superfluids, Bose-Einstein condensates, liquid crystals, alloys, ferromagnetics, ferroelectrics, percolation phenomena, etc.).
Order parameter. Symmetry breaking.
Mean-field and Landau-Ginzburg models.
Scaling. Correlation lengths. Scale invariance.
Application of the renormalization group results to the critical phenomena.
The influence of the spatial dimensionality on the critical phenomena.
The critical phenomena in inhomogeneous systems. Percolation.
Experimental aspects in the measurements of critical phenomena.
---Main:
- N. Goldenfeld, Lectures on phase transitions and the renormalization group (Frontiers in Physics, Perseus Books, 1992). Ebook version in https://www.amazon.es/Lectures-Transitions-Renormalization-Frontiers-Ph…
-- N. Cotón, F.J. Guzmán, M.V. Ramallo, A. Ríos, C. Torrón, F.Vidal, Thermal fluctuations near a phase transition probed through the electrical resistivity of high-temperature superconductors (American Journal of Physics 78, 310, 2010). Avaliable online in https://doi.org/10.1119/1.3276713
---Complementary:
For some specific aspects, it may be useful consulting the following texts, often obtainable online:
- E. Stanley, Phase transitions and critical phenomena (Clarendon Press, 1971).
- G. Toulouse, P. Pfeuty, Introduction to the renormalization group and to critical phenomena (Wiley, 1977).
- C. Domb, The critical point: a historical introduction to the modern theory of critical phenomena (Taylor and Francis, 1996).
- J.J. Binney, N.J. Dowrick, A.J. Fisher, M.E.J. Newman, The theory of critical phenomena. An introduction to renormalization group (Oxford University Press, 1992).
BASIC
CB6 - Possess and understand knowledge that provides a basis or opportunity to be original in the development and / or application of ideas, often in a research context
CB7 - Knowledge about how to apply the knowledge acquired and their ability to solve problems in new or unfamiliar environments within broader (or multidisciplinary) contexts related to their area of study
CB8 - Ability to integrate knowledge and face the complexity of making judgments based on information that, being incomplete or limited, includes reflections on social and ethical responsibilities linked to the application of their knowledge and judgments
CB9 - Ability to communicate conclusions and the knowledge and ultimate reasons that sustain them to specialized and non-specialized audiences in a clear and unambiguous way
CB10 - Learning skills allowing to continue studying in a way that will be largely self-directed or autonomous.
GENERAL
CG01 - Acquire the ability to perform team research work.
CG02 - Be able to analyze and synthesize.
CG03 - Acquire the ability to write texts, articles or scientific reports according to publication standards.
CG04 - Become familiar with the different modalities used to disseminate results and disseminate knowledge in scientific meetings.
CG05 - Apply knowledge to solve complex problems.
TRANSVERSAL
CT01 - Ability to interpret texts, documentation, reports and academic articles in English, scientific language par excellence.
CT02 - Develop the capacity to make responsible decisions in complex and / or responsible situations.
SPECIFIC
CE08 - Acquire an in-depth knowledge of the structure of matter in the low energy regime and its characterization.
CE09 - Master the set of tools necessary to analyze the different states of matter.
Personal study. Enrollment is only possible with no rights to receive teaching.
Final exam. Partial or total evaluations will not be kept from past calls or years.
Enrollment is only possible without rights to receive teaching. Therefore, total time (75 hours) corresponds to personal study.
Manuel Vazquez Ramallo
- Department
- Particle Physics
- Area
- Condensed Matter Physics
- Phone
- 881813965
- Category
- Professor: University Lecturer
| 06.04.2024 12:00-14:00 | Grupo de examen | Classroom 7 |
| 07.09.2024 12:00-14:00 | Grupo de examen | Classroom 7 |