Quantum statistical mechanics of nonlinear excitations in a model for structural phase transitions

1990 ◽  
Vol 42 (10) ◽  
pp. 6675-6682 ◽  
Author(s):  
A. Dobry ◽  
A. Greco
Keyword(s):  
Phase Transitions ◽  
Statistical Mechanics ◽  
Structural Phase ◽  
Quantum Statistical Mechanics ◽  
Structural Phase Transitions ◽  
Nonlinear Excitations ◽  
Quantum Statistical

Introduction

2020 ◽  
pp. 3-47
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Phase Transitions ◽  
Statistical Mechanics ◽  
Energy Minimization ◽  
Scaling Laws ◽  
Quantum Statistical Mechanics ◽  
Entropy Maximization ◽  
Classical Statistical Mechanics ◽  
Quantum Statistical ◽  
Dimensionality Of Space

Chapter 1 introduces various essential ideas on second-order phase transitions and the theoretical challenges that accompany them. Furthermore, it focuses on important issues, for example, correlation length, correlation functions, scaling laws and behaviour, energy minimization, entropy maximization, dimensionality of space and order parameters and critical exponents, etc. It introduces and also devotes a short discussion to the Ising model and its most significant developments during the years of its study, as well as a short background about Ising himself. The chapter also contains two appendices that summarize all relevant results of ensembles of classical statistical mechanics and quantum statistical mechanics.

Phonons and magnons under the sequential structural phase transitions in La2NiO4

1991 ◽  
Vol 185-189 ◽  
pp. 895-896 ◽  
Author(s):  
S. Sugai ◽  
S. Hosoya ◽  
T. Kajitani ◽  
T. Fukuda ◽  
S. Onodera
Keyword(s):  
Phase Transitions ◽  
Structural Phase ◽  
Structural Phase Transitions
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