Elements of Phase Transitions and Critical Phenomena
By 西森 秀稔, G. Ortiz. 2011
311 citations recorded by the source corpus.
1. Phase transitions and critical phenomena 2. Mean-field theories 3. Renormalization group and scaling 4. Implementation of the renormalization group 5. Field theory 6. Conformal field theory 7. Kosterlitz-Thouless transition 8. Random systems 9. Exact solutions and related topics 10. Duality 11. Numerical methods Appendix: Solutions to exercises
Subfields: Condensed Matter Physics, Materials Chemistry, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/db80a34f64af26639eef7f61a0dc5acea6f49ed7
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In Condensed Matter Physics
In Materials Chemistry
In Mathematical Physics
Citations in the corpus
- Perspectives of quantum annealing: methods and implementations (2019, background): “If, on the other hand, the minimum gap closes polynomially ∆min ∝ N−l (l > 0), as is usually observed in a second-order phase transition according to finite-size scaling [98], then the computation time is polynomial τ ∝ N and the problem is considered easy.”
- An appetizer to modern developments on the Kardar–Parisi–Zhang universality class (2017, background): “From the author’s possibly biased view, it was founded cooperatively by theoretical studies [1], both rigorous and non-rigorous, as well as by experiments [2].”
- Geometry of quantum phase transitions (2019, background): “sitions, i.e. phase transitions that occur at finite temperature, are characterised by a macroscopic order, such as magnetisation, or crystal structure, which gets destroyed by the thermal fluctuations [2, 3, 4, 5, 6]. At zero temperature, a dierent type of phase transitions can take place as a non-th”