Computational Nanoscience, Lecture 11: Phase Transitions and the Ising Model

By Elif Ertekin1, Jeffrey C Grossman2

1. University of Illinois at Urbana-Champaign 2. Massachusetts Institute of Technology

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Abstract

In this lecture, we present an introduction to simulations of phase transitions in materials. The use of Monte Carlo methods to model phase transitions is described, and the Ising Model is given as an example for modeling the ferromagnetic-paramagnetic transition. Some of the subtleties of simulating phase transitions are also discussed, including finite size effects and critical slowing down. The concept of linear response is introduced as well.

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University of California, Berkeley

Cite this work

Researchers should cite this work as follows:

  • Elif Ertekin; Jeffrey C Grossman (2008), "Computational Nanoscience, Lecture 11: Phase Transitions and the Ising Model," https://nanohub.org/resources/4122.

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