Speaker: Mr. Shubhadeep Nag
Zeros of Grand Canonical Partition Function
Day, Date & Time: Thursday, 13th April, 2017 at 4:00 P.M.
Venue: SSCU Auditorium
In 1952, Chen-Ning Yang and Tsung-Dao Lee published two seminal paper [1,2] in which they studied the equation of state and phase transition of a thermodynamic system by calculating the zeros of the Grand-Canonical partition function, often termed as Lee-Yang zeros. If the zeros have no real solution, then no phase transition would occur. In case there is a phase transition, the zeros will have a real solution in the thermodynamic limit (N tending to infinity). Many valuable information of the thermodynamic system can be obtained by examining the Lee-Yang zeros. It is very difficult to observe directly these complex zeros by experiment as they are not in the physical domain. Wei and Liu mapped the Lee-Yang zeros to the spin coherence zeros of a central spin coupled to many body system . In early 2015, Peng et al. reported direct observation of the Lee-Yang zeros by doing experiment in time domain. They also calculated the free energy of the thermodynamic system and determined its phase transition temperature .
 C. N. Yang and T. D. Lee, Phys. Rev. 87, 404 (1952).
 T. D. Lee and C. N. Yang, Phys. Rev. 87, 410 (1952).
 B. B. Wei and R. B. Liu, Phys. Rev. Lett. 109, 185701 (2012).
 X. Peng, H. Zhou, B. B. Wei, J. Cui, J. Du and R. B. Liu, Phys. Rev. Lett 114, 010601
All are cordially invited to attend