
Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
The homework assignment for the course simulation in statistical physics in the third semester of the m.phil. Physics program. The assignment includes running computer programs for ising models and generating graphs for various analyses, such as energy versus time and temperature, magnetization versus time, and average energy and magnetization per atom versus temperature. Students are required to compare their results with figures shown in slides.
Typology: Exercises
1 / 1
This page cannot be seen from the preview
Don't miss anything!

M.Phil. Physics (Third Semester) Course: Simulation in Statistical Physics
Home Work # 3 Due Date: One week from today
Computer programs for ISING Models are given in work directory. Run these programs using suitable number of bins and numbers of lattice sites to get following graphs:
(1) Compute the energy versus time (or MC steps) for one-D Ising model. Then plot it and compare with results shown in slides.
(2) Compute energy of the system versus temperature for one-D model and compare with the results shown in slides.
(3) For a two-Dimensional (say 6 x 6) Ising model draw magnetization versus time at three different temperatures and compare results with figures shown in slides.
(4) For a two-Dimensional (say 6 x 6) Ising model draw magnetization versus time at three different temperatures (say at T = 1.5, T = 2.25 and T = 3.2) and compare results with figures shown in slides. (5) For a two-Dimensional (say 6 x 6) Ising model draw average energy per atom & average magnetization per atom as a function of temperature and compare results with figures shown in slides.