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Error Bounds in Equilibrium Statistical Mechanics

Data up to Jan 2025

Published1968
Citations438
References50

Total Citations Per Year

Abstract

References (50)

Handbook of Mathematical Functions

1966 • 42,275 citations

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1944 • 6,099 citations

The algebraic eigenvalue problem

1965 • 5,953 citations

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1958 • 661 citations

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1961 • 657 citations

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1954 • 554 citations

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1963 • 360 citations

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1961 • 308 citations

Hard-Sphere Lattice Gases. I. Plane-Square Lattice

1965 • 273 citations

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1954 • 254 citations

A Theory of Cooperative Phenomena. III. Detailed Discussions of the Cluster Variation Method

1953 • 239 citations

On the high temperature staggered susceptibility of Heisenberg model antiferromagnetics

1963 • 236 citations

Effect of Change of Spin on the Critical Properties of the Ising and Heisenberg Models

1962 • 212 citations

Order and Disorder in Binary Solid Solutions

1938 • 212 citations

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

1961 • 189 citations

On the exchange interaction in magnetic crystals

1937 • 151 citations

Frequency Spectrum of Crystalline Solids

1942 • 150 citations

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

1961 • 135 citations

An investigation of the applicability of the Padé approximant method

1961 • 131 citations

Remarks on the Vibrations of Diatomic Lattices

1958 • 123 citations

The Padé approximant

1961 • 113 citations

The statistical mechanics of systems with steep intermolecular potentials

1964 • 112 citations

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1943 • 104 citations

High-Temperature Equation of State

1966 • 91 citations

An equation of state of gases at high temperatures and densities

1964 • 81 citations

Further Applications of the Padé Approximant Method to the Ising and Heisenberg Models

1963 • 78 citations

Vibration Frequency Spectra of Disordered Lattices. I. Moments of the Spectra for Disordered Linear Chains

1959 • 76 citations

Ising-Model Critical Indices below the Critical Temperature

1967 • 73 citations

Spin one exchange interaction model of ferromagnetism

1967 • 63 citations

High-Temperature Equation of State by a Perturbation Method. II. Polar Gases

1955 • 61 citations

Statistics of the simple cubic lattice

1951 • 54 citations

Frequency Spectrum of Crystalline Solids. III. Body-Centered Cubic Lattices

1944 • 50 citations

On the heisenberg spin ferromagnetic models

1966 • 50 citations

Order-disorder statistics. III. The antiferromagnetic and order-disorder transitions

1951 • 43 citations

Statistical Mechanics of Nearest Neighbor Systems II. General Theory and Application to Two-Dimensional Ferromagnets

1942 • 41 citations

On high temperature expansions for the Heisenberg model

1965 • 36 citations

The calculation of lattice constants in crystal statistics

1957 • 35 citations

Convergent, Bounding Approximation Procedures with Applications to the Ferromagnetic Ising Model

1967 • 33 citations

Specific Heat of a Ferromagnetic Substance Above the Curie Point

1957 • 33 citations

A Note on Bethe-Kirkwood's Partition Function for a Binary Solid Solution

1941 • 32 citations

Statistics of the Three-Dimensional Ferromagnet (III)

1951 • 30 citations

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1950 • 25 citations

Cluster Sums and Related Coefficients of the Ising Model

1958 • 25 citations

High-Temperature Ising Partition Function and Related Noncrossing Polygons for the Simple Cubic Lattice

1962 • 19 citations

Vibrational frequency spectrum of random crystal lattices

1961 • 18 citations

On the theory of regular solutions

1949 • 16 citations

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Error Bounds in Equilibrium Statistical Mechanics (1968) – Journal of Mathematical Physics | Metascience Observatory Explorer