Combinatorial approach to exactly solve the 1D Ising model

DOI10.1088/1361-6404/38/1/015104zbMath1359.82008OpenAlexW2561973924MaRDI QIDQ2957392

Swarnadeep Seth

Publication date: 26 January 2017

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/38/1/015104

zbMATH Keywords

combinatoricsIsing modelstatistical mechanicsexact partition function

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

Related Items (3)

1D Ising model using the Kronecker sum and Kronecker product ⋮ Solving the one-dimensional Ising chain via mathematical induction: an intuitive approach to the transfer matrix ⋮ Classical phase transitions in a one-dimensional short-range spin model

Cites Work

• High-dimensional Ising model selection using \(\ell _{1}\)-regularized logistic regression
• The hobbyhorse of magnetic systems: the Ising model
• Combinatorial Aspects of the Ising Model for Ferromagnetism. I. A Conjecture of Feynman on Paths and Graphs
• Statistics of the Two-Dimensional Ferromagnet. Part I
• A Combinatorial Solution of the Two-Dimensional Ising Model
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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