2019/12/11 by M.V. Sangaranarayanan, M. V. Sangaranarayanan, Sangaranarayanan, M. V.
Computer Science · Mathematics · Physics and Astronomy · #82B30 #Combinatorics #Complex Network Analysis Techniques #Critical exponent #Data Visualization and Analytics #FOS: Physical sciences #Gauss #Geometry #Hypergeometric distribution #Hypergeometric function #Ising model #Mathematical physics #Mathematics #Partition (number theory) #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum mechanics #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech #msc:82B30
paper · pdf · doi:10.48550/arxiv.1912.08054
published in arXiv (Cornell University) (Cornell University) · 10 pages
arxiv created 2019/12/11 · openalex publication_date 2019/12/11 · arxiv updated 2019/12/18 · openalex created_date 2019/12/26 · openalex updated_date 2026/08/05
Employing heuristic susceptibility equations in conjunction with the well-known critical exponents, the magnetization and partition function for two-dimensional nearest neighbour Ising models are formulated in terms of the Gauss hypergeometric functions. The isomorphism existing between the Bragg-Williams approximation and the exact solution of Onsager is pointed out. The precise manner in which the critical exponents influence the partition functions is pointed out.