Tropical limit in statistical physics

DOI10.1016/j.physleta.2015.04.003zbMath1370.82018arXiv1502.01229OpenAlexW2016262951MaRDI QIDQ2405434

Mario Angelelli, B. G. Konopelchenko

Publication date: 25 September 2017

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01229

zbMATH Keywords

tropical mathematicsBoltzmann constantexponential degenerations

Mathematics Subject Classification ID

Related Items (5)

Tropical limit and a micro-macro correspondence in statistical physics ⋮ Entropy driven transformations of statistical hypersurfaces ⋮ Zeros and amoebas of partition functions ⋮ The zero-temperature limit of grand canonical ensembles via tropical geometry ⋮ Complexity reduction for sign configurations through the KP II equation and its information-theoretic aspects

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry in the tropical limit
• On basic concepts of tropical geometry
• Thermodynamic semirings
• Kontsevich's formula and the WDVV equations in tropical geometry
• Dimers and amoebae
• Piecewise-linear soliton equations and piecewise-linear integrable maps
• The AM(1) automata related to crystals of symmetric tensors
• KP line solitons and Tamari lattices
• Tropical and Idempotent Mathematics
• Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
• Thermodynamics and Statistical Mechanics at Negative Absolute Temperatures
• The stochastic H-theorem
• Idempotent mathematics: a correspondence principle and its applications to computing
• Tropical Geometry and Integrable Systems
• Enumerative tropical algebraic geometry in ℝ²
• Tropical geometry of statistical models
• The Logarithmic Limit-Set of an Algebraic Variety
• Antiferromagnetism. The Triangular Ising Net
• Tropical algebraic geometry

This page was built for publication: Tropical limit in statistical physics