Professor C. N. Yang and Statistical Mechanics

Abstract

Professor Chen Ning Yang has made seminal and influential contributions in many different areas in theoretical physics. This talk focuses on his contributions in statistical mechanics, a field in which Professor Yang has held a continual interest for over sixty years. His Master's thesis was on a theory of binary alloys with multi-site interactions, some 30 years before others studied the problem. Likewise, his other works opened the door and led to subsequent developments in many areas of modern day statistical mechanics and mathematical physics. He made seminal contributions in a wide array of topics, ranging from the fundamental theory of phase transitions, the Ising model, Heisenberg spin chains, lattice models, and the Yang-Baxter equation, to the emergence of Yangian in quantum groups. These topics and their ramifications will be discussed in this talk.

Talk given at Symposium in honor of Professor C. N. Yang's 85th birthday, Nanyang Technological University, Singapore, November 2007

References in corpus (1)

• Yang-Yang thermodynamics on an atom chip

Cited by in corpus (13)

• Partition function zeros for the Ising model on complete graphs and on annealed scale-free networks
• Violation of Lee-Yang circle theorem for Ising phase transitions on complex networks
• Critical and tricritical singularities from small-scale Monte Carlo simulations: The Blume-Capel model in two dimensions
• Lee-Yang zeros and two-time spin correlation function
• Two-time correlation functions and the Lee-Yang zeros for an interacting Bose gas
• Classical phase transitions in a one-dimensional short-range spin model induced by entropy depletion or complex fields
• Detecting the Lee-Yang zeros of a high-spin system by the evolution of probe spin
• Time correlation functions and Fisher zeros for q-deformed Bose gas
• Scaling Behavior of the Heisenberg Model in Three Dimensions
• Extracting partition function zeros from Fukui-Todo simulations
• When correlations exceed system size: finite-size scaling in free boundary conditions above the upper critical dimension
• Phase transitions above the upper critical dimension
• Detecting the purely imaginary Fisher zeros of an Ising spin system on a quantum computer