The Monte-Carlo method has proved to be a very powerful tool to understand and solve problems invloving interacting particles. The success of the Monte-Carlo method depends on the fact that rather than simulating the entire configuration space, we can work very well with a subset of the configuration space which is the set of most probable states. The results obtained using Monte-Carlo simulations, along with the finite size scaling, give us valuable insights. In this seminar, I will talk about why we use the methodology of Monte-Carlo based methods. I will use the Ising model as a prototypical example to show how we can solve an interacting problem using Monte-Carlo. If time permits, I will also talk very briefly about the infamous sign problem and how it renders Monte-Carlo treatment for interacting quantum particles.
Shashikant Singh Kunwar is a research scholar of Dept. of Physics. His broad area of interest is theoretical condensed matter physics. He is working under the guidance of Dr. Rajesh Narayanan.