scholarly journals Low-temperature behavior of the finite-size one-dimensional Ising model and the partition function zeros

2014 ◽  
Vol 65 (5) ◽  
pp. 676-683 ◽  
Author(s):  
Julian Lee
Keyword(s):  
Ising Model ◽  
Partition Function ◽  
Low Temperature ◽  
Finite Size ◽  
Temperature Behavior ◽  
Partition Function Zeros ◽  
One Dimensional ◽  
Function Zeros

scholarly journals Use of the Complex Zeros of the Partition Function to Investigate the Critical Behavior of the Generalized Interacting Self-Avoiding Trail Model

Entropy ◽  
2019 ◽  
Vol 21 (2) ◽  
pp. 153
Author(s):  
Damien Foster ◽  
Ralph Kenna ◽  
Claire Pinettes
Keyword(s):  
Phase Transitions ◽  
Partition Function ◽  
Critical Behavior ◽  
Finite Size ◽  
The Self ◽  
Partition Function Zeros ◽  
Adsorption Transition ◽  
Function Zeros ◽  
Complex Zeros ◽  
Self Avoiding Walk

The complex zeros of the canonical (fixed walk-length) partition function are calculated for both the self-avoiding trails model and the vertex-interacting self-avoiding walk model, both in bulk and in the presence of an attractive surface. The finite-size behavior of the zeros is used to estimate the location of phase transitions: the collapse transition in the bulk and the adsorption transition in the presence of a surface. The bulk and surface cross-over exponents, ϕ and ϕ S , are estimated from the scaling behavior of the leading partition function zeros.

scholarly journals YANG–LEE AND FISHER ZEROS GENERALIZED ON SOME FAR-FROM-EQUILIBRIUM SYSTEMS

2009 ◽  
Vol 23 (03) ◽  
pp. 375-381
Author(s):  
K. G. SARGSYAN
Keyword(s):  
Ising Model ◽  
Partition Function ◽  
Minimal Models ◽  
Partition Function Zeros ◽  
Nontrivial Behavior ◽  
Far From Equilibrium ◽  
Fisher Zeros ◽  
Function Zeros ◽  
Simple Models

A generalization of the Yang–Lee and Fisher zeros on far-from-equilibrium systems coupled with two thermal baths is proposed. The Yang–Lee zeros were obtained for minimal models which exhibit complicated behavior in the context of the partition function zeros and provide an analitycal treatment. This type of model may be considered as a simplest one and analogous to Ising model for equilibrium. The obtained distributions of generalized Yang–Lee zeros show nontrivial behavior for these simple models.

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