Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

Lars Onsager

Type: Article

Publication Date: 1944-02-01

Citations: 6131

DOI: https://doi.org/10.1103/physrev.65.117

View Publication

Locations

Physical Review - View

Similar Works

Action	Title	Year	Authors
+	Statistics of the Two-Dimensional Ferromagnet. Part I	1941	H. A. Kramers Gregory H. Wannier
+	Crystal Statistics of a Two-Dimensional Ising Lattice	1950	G. F. Newell
+	Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice	1949	Bruria Kaufman Lars Onsager
+ PDF Chat	Topics in statistical mechanics	1984	Veit Elser
+	A computational mechanics approach to estimate entropy and (approximate) complexity for the dynamics of the 2D Ising Ferromagnet	2012	Oliver Melchert Alexander K. Hartmann
+ PDF Chat	Report on 2102.00960v4	2021	Dalton A R Sakthivadivel
+ PDF Chat	Report on 2102.00960v4	2021	Dalton A R Sakthivadivel
+	Magnetisation and Mean Field Theory in the Ising Model	2021	Dalton A R Sakthivadivel
+ PDF Chat	Magnetisation and Mean Field Theory in the Ising Model	2022	Dalton A R Sakthivadivel
+	Investigating Berezinskii-Kosterlitz-Thouless phase transitions in Kagome spin ice by quantifying Monte Carlo process: Distribution of Hamming distances	2023	Wen-Yu Su Feng Hu Chen Cheng Nvsen Ma
+ PDF Chat	The hobbyhorse of magnetic systems: the Ising model	2016	Eduardo Ibarra-García-Padilla Carlos Gerardo Malanche-Flores F. J. Poveda-Cuevas
+	Discovering Noncritical Organization: Statistical Mechanical, Information Theoretical, and Computational Views of Patterns in One-Dimensional Spin Systems	1998	David P. Feldman James P. Crutchfield
+	A Pedagogical Discussion of Magnetisation in the Mean Field Ising Model	2021	Dalton A R Sakthivadivel
+	On Order, Disorder and Coherence	2007	Geoffrey L. Sewell
+ PDF Chat	The origin of phase transitions enlightened by an elementary classical spin model	2011	Fabrizio Baroni
+ PDF Chat	Criticality of Measures on 2-d Ising Configurations: From Square to Hexagonal Graphs	2019	Valentina Apollonio Roberto D’Autilia Benedetto Scoppola Elisabetta Scoppola Alessio Troiani
+	Rigorous computation of topological entropy with respect to a finite partition	2001	Gary Froyland Oliver Junge Gunter Ochs
+ PDF Chat	Analysis of the phase transition in the two-dimensional Ising ferromagnet using a Lempel-Ziv string-parsing scheme and black-box data-compression utilities	2015	Oliver Melchert Alexander K. Hartmann
+	Study of quantum dimer and partition models on honeycomb lattices	2015	Thiago Milanetto Schlittler
+	Crystal Statistics: II. Partition Function Evaluated by Spinor Analysis. III. Short-Range Order in a Binary Ising Lattice.	1950	Bruria Kaufman

Works That Cite This (2895)

Action	Title	Year	Authors
+	A Brief History of Free Parafermions	2023	Murray T. Batchelor Robert Henry Xilin Lu
+ PDF Chat	Computing equivariant matrices on homogeneous spaces for geometric deep learning and automorphic Lie algebras	2024	Vincent Knibbeler
+ PDF Chat	The critical temperature for the Ising model on planar doubly periodic graphs	2013	David Cimasoni Hugo Duminil‐Copin
+ PDF Chat	Translation invariant Gibbs states for the Ising model	2005	T. Bodineau
+ PDF Chat	Improved mixing condition on the grid for counting and sampling independent sets	2012	Ricardo Restrepo Jinwoo Shin Prasad Tetali Eric Vigoda Linji Yang
+ PDF Chat	Bond percolation on isoradial graphs: criticality and universality	2013	Geoffrey Grimmett Ioan Manolescu
+	On the lattice-dimensionality crossovers in magnetic Ising systems	1978	Rafael Navarro L.J. de Jongh
+ PDF Chat	Tunneling and energy splitting in Ising models	1993	Karl Jansen Yue Shen
+	Block belief propagation algorithm for two-dimensional tensor networks	2023	Chu Guo Dario Poletti Itai Arad
+ PDF Chat	Small-cluster renormalization group in Ising and Blume-Emery-Griffiths models with ferromagnetic, antiferromagnetic, and quenched disordered magnetic interactions	2014	F Antenucci A. Crisanti Luca Leuzzi

Works Cited by This (2)

Action	Title	Year	Authors
+	Infinite powers of matrices and characteristic roots	1940	Rufus Oldenburger
+	Statistics of the Two-Dimensional Ferromagnet. Part I	1941	H. A. Kramers Gregory H. Wannier