Determination of universal critical exponents using Lee-Yang theory
نویسندگان
چکیده
منابع مشابه
The Lee-yang Theory of Phase Transitions
Magnetic materials in nature exhibit a sharp phase transition: there exists a temperature (the Curie temperature) just above which the spontaneous magnetism of a magnetic material is lost. The modeling of such discontinuities presented a major conundrum for statistical physics in the early part of the 20th century. One of the rst models of magnets proposed to qualitatively model this phenomenon...
متن کاملInfrared exponents of Yang-Mills theory
In this talk I summarise recent results on the infrared exponents of SU(Nc)-Yang-Mills theory. I discuss a self-consistent power law solution for the Dyson-Schwinger equations for general 1PI-Greens functions in the infrared. The corresponding running coupling has a fixed point at zero momentum, which turns out to be universal and gauge invariant within a class of transverse gauges. When calcul...
متن کاملYang–Lee zeros of the Yang–Lee model
To understand the distribution of the Yang–Lee zeros in quantum integrable field theories we analyse the simplest of these systems given by the 2D Yang– Lee model. The grand-canonical partition function of this quantum field theory, as a function of the fugacity z and the inverse temperature β, can be computed in terms of the thermodynamics Bethe Ansatz based on its exact S-matrix. We extract t...
متن کاملThe Lee-Yang Theory of Equilibrium and Nonequilibrium Phase Transitions
In this work we seek a mathematical understanding of phase transitions in the steady state of stochastic many-body systems. Systems at equilibrium with their environment provide examples of such steady states, and the mechanisms underlying equilibrium phase transitions are long known and understood. Experimentally, one can distinguish between two types of transition: the first-order transition ...
متن کاملLee-Yang theorem
In 1952, Lee and Yang published two important papers [1, 2] in statistical mechanics. They gave us a new way of looking at the nature of phase transitions, and suggested that we can regard partition functions as functions of external fields (in the case of Ising model, this would be magnetic fields), whose domains can be extended to the complex plane. In particular, they proved a series of Lee-...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Research
سال: 2019
ISSN: 2643-1564
DOI: 10.1103/physrevresearch.1.023004