Self-avoiding walks and the Ising and Heisenberg models

An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)

1946 • 7,784 citations

Space-Time Approach to Non-Relativistic Quantum Mechanics

1948 • 4,029 citations

The theory of equilibrium critical phenomena

1967 • 2,331 citations

An Introduction to Combinatorial Analysis

1958 • 1,564 citations

Scaling laws for ising models near <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:math>

1966 • 1,491 citations

The statistical mechanics of polymers with excluded volume

1965 • 1,303 citations

Equation of State in the Neighborhood of the Critical Point

1965 • 1,250 citations

On the theory of cooperative phenomena in crystals

1960 • 946 citations

Residual Entropy of Square Ice

1967 • 748 citations

Theory of Critical-Point Scattering and Correlations. I. The Ising Model

1967 • 734 citations

On the Curie points and high temperature susceptibilities of Heisenberg model ferromagnetics

1958 • 661 citations

Possibility of a Phase Transition for the Two-Dimensional Heisenberg Model

1966 • 436 citations

Exact Solution of the Problem of the Entropy of Two-Dimensional Ice

1967 • 435 citations

Percolation processes

1957 • 400 citations

Interfacial, Boundary, and Size Effects at Critical Points

1967 • 383 citations

Exact Solution of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>F</mml:mi></mml:math>Model of An Antiferroelectric

1967 • 342 citations

Critical Percolation Probabilities by Series Methods

1964 • 314 citations

Shape of a Self-Avoiding Walk or Polymer Chain

1966 • 304 citations

New Method for the Statistical Computation of Polymer Dimensions

1959 • 294 citations

Exact Solution of the Two-Dimensional Slater KDP Model of a Ferroelectric

1967 • 282 citations

Excluded-Volume Problem and the Ising Model of Ferromagnetism

1959 • 258 citations

Dependence of Critical Properties on Dimensionality of Spins

1968 • 256 citations

On the high temperature staggered susceptibility of Heisenberg model antiferromagnetics

1963 • 236 citations

Combinatorial Problems Suggested by the Statistical Mechanics of Domains and of Rubber-Like Molecules

1956 • 215 citations

The number of polygons on a lattice

1961 • 202 citations

Use of Series Expansions for the Ising Model Susceptibility and Excluded Volume Problem

1961 • 189 citations

Applied Combinatorial Mathematics.

1967 • 183 citations

On the critical behaviour of ferromagnets

1965 • 181 citations

Statistical mechanics with topological constraints: II

1968 • 178 citations

Spin-spin correlations in the two-dimensional ising model

1966 • 171 citations

Classical Heisenberg Model

1967 • 171 citations

On the exchange interaction in magnetic crystals

1937 • 151 citations

Monte Carlo Studies of Configurational and Thermodynamic Properties of Self-Interacting Linear Polymer Chains

1968 • 139 citations

Some Counting Theorems in the Theory of the Ising Model and the Excluded Volume Problem

1961 • 135 citations

The susceptibility of the plane ising model

1959 • 130 citations

Lattice Constant Systems and Graph Theory

1966 • 112 citations

Probability of Initial Ring Closure for Self-Avoiding Walks on the Face-Centered Cubic and Triangular Lattices

1967 • 110 citations

Random Impurities as the Cause of Smooth Specific Heats Near the Critical Temperature

1968 • 90 citations

Critical behaviour of the Ising model above and below the critical temperature

1968 • 78 citations

Critical behaviour of a soluble model of dilute ferromagnetism

1967 • 64 citations

Mean-Square Intrachain Distances in a Self-Avoiding Walk

1969 • 62 citations

Lattice Model for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi></mml:math>Transition in a Bose Fluid

1967 • 57 citations

On the magnetically dilute Heisenberg and Ising ferromagnetics

1963 • 49 citations

Some Critical Properties of the Heisenberg Model

1969 • 47 citations

On Ordering and Identifying Undirected Linear Graphs

1966 • 44 citations

The Enumeration of Homeomorphically Irreducible Star Graphs

1966 • 36 citations

On high temperature expansions for the Heisenberg model

1965 • 36 citations

On the method of Yvon in crystal statistics

1962 • 29 citations

New method of deriving high temperature expansions for the Heisenberg model

1964 • 21 citations

The second osmotic virial coefficient of athermal polymer solutions

1967 • 20 citations

On co-operative effects in finite assemblies

1965 • 20 citations

Determination of Weight Factors in Linked-Cluster Expansions for Lattice Systems

1967 • 14 citations

Critical behaviour of boundary susceptibility and boundary tension

1968 • 13 citations

Finite size effects at the critical point

1968 • 12 citations

Multiple-Correlation Functions and Scaling Laws

1968 • 11 citations

New Derivation of the Ising Model Cluster Expansion

1967 • 8 citations

Configurational Studies of the Ising and Classical Heisenberg Models

1968 • 6 citations