Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Lecture notes in physics

Position space renormalization group

J. M. J. van Leeuwen

Published Jan 1, 1978• 0 citations
Publisher
DOI
10.1007/3-540-08848-2_17

Related papers

Anisotropic bond percolation by position-space renormalization group

P.M.C. de Oliveira

We present a position-space renormalization-group procedure for the anisotropic bond-percolation problem in a square lattice. We use a kind of cell which preserves the geometrical features of the whole lattice, including duality. In this manner, the whole phase diagram and the dimensionality crossover exponent (both are exactly known) are reproduced for any scaling factor.

Physical review. B, Condensed matter•Feb 1, 1982•24 citations

Renormalization Group

Lucas Böttcher, Hans Jürgen Herrmann

Cambridge University Press eBooks•Aug 10, 2021•0 citations

Low-Temperature Series for Renormalized Operators: the Ferromagnetic Square-Lattice Ising Model

J. Salas

A method for computing low--temperature series for renormalized operators in the two--dimensional Ising model is proposed. Series for the renormalized magnetization and nearest--neighbor correlation function are given for the majority rule transformation on 2 \\Theta 2 blocks and random tie--breaker. These series are applied to the study at very low temperature of the first--order phase transition undergone by this model. We analyze how truncation in the renormalized Hamiltonian leads to spurious discontinuities of the Renormalization Group transformation. Keywords: Renormalization group, position--space renormalization--group transformations, Ising model, low--temperature expansions. E-mail: salas@mafalda.physics.nyu.edu 1 Introduction The behavior of the Renormalization Group (RG) in the vicinity of first order phase transitions has been a very controversial matter for the last 20 years. In 1975 Nienhuis and Nauenberg [1] proposed that the RG transformations behave near first--or...

•Sep 19, 1994•8 citations

Renormalization Group

G. Benfatto, Giovanni Gallavotti

Princeton University Press eBooks•Nov 10, 2020•7 citations

Position-space renormalization-group approach for driven diffusive systems applied to the asymmetric exclusion model

Ivan T. Georgiev, Susan R. McKay

This paper introduces a position-space renormalization-group approach for nonequilibrium systems and applies the method to a driven stochastic one-dimensional gas with open boundaries. The dynamics are characterized by three parameters: the probability alpha that a particle will flow into the chain to the leftmost site, the probability beta that a particle will flow out from the rightmost site, and the probability p that a particle will jump to the right if the site to the right is empty. The renormalization-group procedure is conducted within the space of these transition probabilities, which are relevant to the system's dynamics. The method yields a critical point at alpha(c)=beta(c)=1/2, in agreement with the exact values, and the critical exponent nu=2.71, as compared with the exact value nu=2.00.

arXiv:cond-mat/0211263•Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•May 7, 2003•5 citations

Renormalization Group

World Scientific lecture notes in physics•Sep 1, 2020•0 citations
A method for computing low--temperature series for renormalized operators in the two--dimensional Ising model is proposed. Series for the renormalized magnetization and nearest--neighbor correlation function are given for the majority rule transformation on 2 \\Theta 2 blocks and random tie--breaker. These series are applied to the study at very low temperature of the first--order phase transition undergone by this model. We analyze how truncation in the renormalized Hamiltonian leads to spurious discontinuities of the Renormalization Group transformation. Keywords: Renormalization group, position--space renormalization--group transformations, Ising model, low--temperature expansions. E-mail: salas@mafalda.physics.nyu.edu 1 Introduction The behavior of the Renormalization Group (RG) in the vicinity of first order phase transitions has been a very controversial matter for the last 20 years. In 1975 Nienhuis and Nauenberg [1] proposed that the RG transformations behave near first--or...
This paper introduces a position-space renormalization-group approach for nonequilibrium systems and applies the method to a driven stochastic one-dimensional gas with open boundaries. The dynamics are characterized by three parameters: the probability alpha that a particle will flow into the chain to the leftmost site, the probability beta that a particle will flow out from the rightmost site, and the probability p that a particle will jump to the right if the site to the right is empty. The renormalization-group procedure is conducted within the space of these transition probabilities, which are relevant to the system's dynamics. The method yields a critical point at alpha(c)=beta(c)=1/2, in agreement with the exact values, and the critical exponent nu=2.71, as compared with the exact value nu=2.00.