12–16 Dec 2022
IISER Mohali
Asia/Kolkata timezone

Study of Ising model and three state Pott's model cumulants in 2D lattice

14 Dec 2022, 16:45
15m
LH6 (IISER Mohali)

LH6

IISER Mohali

Lecture Hall Complex, IISER Mohali, Sector 81, Knowledge city, SAS Nagar, Punjab, India

Speaker

Swati Saha (National Institute of Science Education and Research, Jatni - 752050, INDIA)

Description

Lattice QCD predicts an ordering of the ratios of baryon number fluctuations in the vicinity of critical point in the QCD phase diagram i.e, $\frac{\chi_6}{\chi_2}<\frac{\chi_5}{\chi_1}<\frac{\chi_4}{\chi_2}<\frac{\chi_3}{\chi_1}$ where $\chi_n$ is the nth order cumulant of baryon number fluctuation. Taking the analog of baryon density as order parameter in the spin model, these inequalities can be tested. We have used two different models, Ising model and three-state Pott's model for the study. Simulations are performed in 2D square lattices of different sizes using the Wolff algorithm. The cumulants of the order parameter are obtained up to sixth order in both these models near their corresponding critical temperatures. The size dependence of the peaks/dips of the higher-order cumulants appears to decrease with the increase in the order of the cumulants. The consequences of the results for the QCD case are discussed.

Session Heavy Ions and QCD

Authors

Prof. Bedangadas Mohanty (National Institute of Science Education and Research, Jatni - 752050, INDIA) Prof. Rajiv V. Gavai (Indian Institute of Science Education and Research Bhopal (IISERB), Bhopal Bypass Road, Bhauri Bhopal, 462066, Madhya Pradesh, INDIA) Swati Saha (National Institute of Science Education and Research, Jatni - 752050, INDIA)

Presentation materials