💻 A comprehensive simulation on the #Ising_Model by Asher Preska Steinberg, Michael Kosowsky, and Seth Fraden, Physics Department, Brandeis University

🔑 The goal of this experiment was to create #Monte_Carlo simulations of the 1D and 2D #Ising model.
To accomplish this the #Metropolis algorithm was implemented in #MATLAB. The dependence of #magnetization on #temperature with and without an external field was calculated, as well as the dependence of the #energy, #specific_heat, and #magnetic_susceptibility on temperature. The results of the 2D simulation were compared to the #Onsager solution.

🔗 http://fraden.brandeis.edu/courses/phys39/simulations/AsherIsingModelReport.pdf

Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of #thermodynamics and #statistical_mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the #Ising, #gauge-Ising and #XY models is included. The #renormalization group is developed and applied to #critical_phenomena, #Fermi_liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

🌴 In a new paper, SFI External Prof Jon Machta and colleagues from UC Davis, show that one of the most famous models in statistical physics — the #Ising model — could be used to understand why pistachio trees bloom in synchrony.

https://santafe.edu/news-center/news/what-magnets-have-do-pistachios

Real life #networks have #loops, and that means #recursion. Whether passing notes or infections, messages don't just wash across a graph. They swirl and eddy.

On a new paper in @ScienceAdvances co-authored by SFI's George Cantwell and Mark Newman:

https://t.co/b7sglS1qsw
#Ising