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...
the Ormaille residence 02:52 Karol Zyczkowski - Thirty-six entangled officers of Eulerquantum solution of a c 42:34 Daniele Semola - Ricci curvature, fundamental group and the Milnor conjecture (I 57:07 Yuguang Shi - Some global effects of positive scalar curvature 43:48 Gérard Duchamp - ...
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 ...
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 ...
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... ...
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 ...
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 "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...
The authors show in a simple way how noninteger exponents can arise in the study of the finite-N corrections to the free energy density of the mean-field solution of the SK model of spin glasses. The well known mean-field solution obtained with the hierarchical ansatz is valid in the therm...
A full mean-field solution of a quantum Heisenberg spin-glass model is presented in a large- N limit. A spin-glass transition is found for all values of th... A Georges,O Parcollet,S Sachdev - 《Physical Review Letters》 被引量: 102发表: 2000年 Mean-field theory for the three-dimens...