A non-equilibrium Monte Carlo renormalization-group approach based upon the microscopic master equation applied to the three-state driven lattice gas

2005 ◽  
Vol 212 (3-4) ◽  
pp. 233-244
Author(s):  
Ivan T. Georgiev ◽  
Susan R. McKay
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Master Equation ◽  
Lattice Gas ◽  
Group Approach ◽  
Driven Lattice Gas ◽  
Renormalization Group Approach ◽  
Monte Carlo Renormalization Group ◽  
Non Equilibrium

TENSOR RENORMALIZATION GROUP APPROACH TO A LATTICE BOSON MODEL

2012 ◽  
Vol 27 (06) ◽  
pp. 1250035 ◽  
Author(s):  
YUYA SHIMIZU
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Singular Value Decomposition ◽  
Singular Value ◽  
Truncated Singular Value Decomposition ◽  
Group Approach ◽  
Monte Carlo Result ◽  
Renormalization Group Approach ◽  
Boson Model ◽  
Value Decomposition

A method to apply the tensor renormalization group to a lattice boson model is proposed. It is based on the truncated singular value decomposition of a compact operator. We demonstrate it using the (1+1)-dimensional ϕ4 model. The evaluated critical points on the lattice are consistent with the Monte Carlo result.

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