Real-space renormalization of the self-avoiding walk by a linear transformation

1977 ◽  
Vol 16 (3) ◽  
pp. 1253-1265 ◽  
Author(s):  
H. J. Hilhorst
Keyword(s):  
Linear Transformation ◽  
Real Space ◽  
The Self ◽  
Self Avoiding Walk

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.

Renormalization of the self-avoiding walk on a lattice

1976 ◽  
Vol 56 (3) ◽  
pp. 153-154 ◽  
Author(s):  
H.J. Hilhorst
Keyword(s):  
The Self ◽  
Self Avoiding Walk

Scaling exponents of the self-avoiding-walk-problem in three dimensions

1994 ◽  
Vol 49 (5) ◽  
pp. 3217-3225 ◽  
Author(s):  
Jean Dayantis ◽  
Jean-François Palierne
Keyword(s):  
The Self ◽  
Three Dimensions ◽  
Scaling Exponents ◽  
Self Avoiding Walk
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