Numerical determination of the critical isotherm of the ferromagnetic Ising model

1974 ◽  
Vol 10 (7) ◽  
pp. 2857-2867 ◽  
Author(s):  
Chanchal K. Majumdar
Keyword(s):  
Ising Model ◽  
Numerical Determination ◽  
Critical Isotherm ◽  
Ferromagnetic Ising Model

Experimental and Numerical Determination of Micropropulsion Device Efficiencies at Low Reynolds Numbers

2004 ◽  
Author(s):  
Andrew D. Ketsdever ◽  
Michael T. Clabough ◽  
Sergey F. Gimelshein ◽  
Alina Alexeenko
Keyword(s):  
Reynolds Numbers ◽  
Numerical Determination ◽  
Low Reynolds Numbers ◽  
Low Reynolds

scholarly journals Lee-Yang zeros of the antiferromagnetic Ising model

2021 ◽  
pp. 1-35
Author(s):  
FERENC BENCS ◽  
PJOTR BUYS ◽  
LORENZO GUERINI ◽  
HAN PETERS
Keyword(s):  
Ising Model ◽  
Partition Functions ◽  
Cayley Trees ◽  
Circular Arcs ◽  
Precise Characterization ◽  
Ferromagnetic Ising Model ◽  
Location Of Zeros ◽  
Antiferromagnetic Ising Model ◽  
Recursively Defined Trees ◽  
Degree Bound

Abstract We investigate the location of zeros for the partition function of the anti-ferromagnetic Ising model, focusing on the zeros lying on the unit circle. We give a precise characterization for the class of rooted Cayley trees, showing that the zeros are nowhere dense on the most interesting circular arcs. In contrast, we prove that when considering all graphs with a given degree bound, the zeros are dense in a circular sub-arc, implying that Cayley trees are in this sense not extremal. The proofs rely on describing the rational dynamical systems arising when considering ratios of partition functions on recursively defined trees.

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