Franz Utermohlen: Notes on "Mean Field Theory Solution of the Ising Model" 接下来,我们来看看究竟在哪里做了近似,其实最直接的就是这里假设了\delta S_i \ \delta S_j \approx 0;在热扰动(thermal fluctuation)较小的时候,这个式子成立。物理上来理解,在维度较低的时候,热扰动可能会比较明显,因此平均场...
field theory for studying the Ising model on complex networks.Our method shows a more accurate prediction in the critical temperature of the Ising model than the previous heterogeneous mean-field theory.The theoretical results are validated by extensive Monte Carlo simulations in various types of ...
Kinetic Ising models are powerful tools for studying the non-equilibrium dynamics of complex systems. As their behavior is not tractable for large networks, many mean-field methods have been proposed for their analysis, each based on unique assumptions a
18 Harold Erbin - Introducing string field theory from a geometrical perspective 48:53 Emmanuel Giroux - Doors open by Thom in Morse theory and towards the h-principle 52:36 Aaron Fenyes - New perspectives on Borel summation – 24 57:34 Dennis Sullivan - The geometric ideas of René Thom ...
18 Harold Erbin - Introducing string field theory from a geometrical perspective 48:53 Emmanuel Giroux - Doors open by Thom in Morse theory and towards the h-principle 52:36 Aaron Fenyes - New perspectives on Borel summation – 24 57:34 Dennis Sullivan - The geometric ideas of René Thom ...
A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the absence of ferromagnetic order in $d\\le 2$ space ...
https://physics.stackexchange.com/questions/335562/the-need-for-the-ising-model-in-mean-field-theory You are correct when saying thatmj=⟨Sj⟩is not necessarily aligned withB. We can write your second equation asHi=−JSi⋅(Nm+B)wherem... ...
The "hard spin mean field theory" is used to study the phase diagrams of Ising models on triangle lattices with anti-ferromagnetic pair interactions and three site interactions. We show that the hard spin approach, so useful in studying the fully frustrated, triangle lattice, Ising antiferromagnet...
Theory of the Modulated Reactance Solution for Subsynchronous Resonance One solution for the subsynchronous resonance phenomena known as "torsional interaction" is a controlled shunt reactor connected to the terminals of the af... TH Putman,DG Ramey - 《IEEE Transactions on Power Apparatus & Systems》...
The simplest model of entangling polymers, a semidilute solution of hard infinitely thin rods that perform only translational Brownian motion, is studied. ... G Szamel,KS Schweizer - 《Journal of Chemical Physics》 被引量: 68发表: 1994年 Hard‐spin mean‐field theory: Formulation for Ising, ...