On the effect of phase transition on the manifold dimensionality: application to the Ising model

DOI10.2140/memocs.2018.6.251zbMath1471.74060OpenAlexW2893296020WikidataQ129182533 ScholiaQ129182533MaRDI QIDQ1785711

Emmanuelle Abisset-Chavanne, Elena Lopez, Francisco Chinesta, Adrien Scheuer

Publication date: 1 October 2018

Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/memocs.2018.6.251

zbMATH Keywords

Ising equationlocal dimensionalitymanifold learning method

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Cites Work

• Tunneling in two dimensions
• Potts models in the continuum. Uniqueness and exponential decay in the restricted ensembles
• Coexistence of ordered and disordered phases in Potts Models in the continuum
• A manifold learning approach for integrated computational materials engineering
• History of the Lenz-Ising Model 1920--1950: from Ferromagnetic to Cooperative Phenomena
• SEGMENTATION OF 2D AND 3D TEXTURES FROM ESTIMATES OF THE LOCAL ORIENTATION
• Beitrag zur Theorie des Ferromagnetismus
• Equation of State Calculations by Fast Computing Machines
• Nonlinear Dimensionality Reduction
• An Algorithm for Finding Intrinsic Dimensionality of Data
• On the Theory of the Ising Model of Ferromagnetism
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

This page was built for publication: On the effect of phase transition on the manifold dimensionality: application to the Ising model