Asymptotic expansion of the logarithm of the partition function in spin lattice systems that possess a vacuum

1989 ◽  
Vol 81 (2) ◽  
pp. 1134-1141 ◽  
Author(s):  
V. A. Arzumanyan ◽  
B. S. Nakhapetyan ◽  
S. K. Pogosyan
Keyword(s):  
Asymptotic Expansion ◽  
Partition Function ◽  
Lattice Systems ◽  
Spin Lattice

scholarly journals Automatic contraction of unstructured tensor networks

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Adam Jermyn
Keyword(s):  
Partition Function ◽  
Statistical Physics ◽  
Discrete Models ◽  
Correlation Structure ◽  
Central Problem ◽  
Partition Functions ◽  
Lattice Systems ◽  
Tensor Networks ◽  
Tensor Network

The evaluation of partition functions is a central problem in statistical physics. For lattice systems and other discrete models the partition function may be expressed as the contraction of a tensor network. Unfortunately computing such contractions is difficult, and many methods to make this tractable require periodic or otherwise structured networks. Here I present a new algorithm for contracting unstructured tensor networks. This method makes no assumptions about the structure of the network and performs well in both structured and unstructured cases so long as the correlation structure is local.

Refined asymptotic expansion for the partition function of unbounded quantum billiards

1990 ◽  
Vol 31 (7) ◽  
pp. 1670-1676 ◽  
Author(s):  
F. Steiner ◽  
P. Trillenberg
Keyword(s):  
Asymptotic Expansion ◽  
Partition Function
Sign in / Sign up

Export Citation Format

Share Document