On a previously unpublished work with Ralph Kenna

Abstract

This is part of an unpublished work in collaboration with Ralph Kenna. It was probably not mature enough at the time it was submitted more than ten years ago and it was rejected by the editors, but some of the ideas had later been published partially in subsequent works. I believe that this "draft" reveals a lot about Ralph's enthusiasm and audacity and deserves to be published now, maybe as a part of his legacy.

14 pages, 1 figure

References in corpus (22)

• Information heat engine: converting information to energy by feedback control
• A critique of non-extensive q-entropy for thermal statistics
• Scaling Relations for Logarithmic Corrections
• Finite-size scaling above the upper critical dimension revisited: The case of the five-dimensional Ising model
• Finite-size scaling above the upper critical dimension
• On the role of Fourier modes in finite-size scaling above the upper critical dimension
• Finite-size scaling above the upper critical dimension in Ising models with long-range interactions
• Non-vanishing boundary effects and quasi-first order phase transitions in high dimensional Ising models
• Fisher's scaling relation above the upper critical dimension
• Finite size scaling of the 5D Ising model with free boundary conditions
• A new critical exponent koppa and its logarithmic counterpart koppa-hat
• Monte Carlo investigations of phase transitions: status and perspectives
• Scaling at quantum phase transitions above the upper critical dimension
• Critical properties of the three-dimensional equivalent-neighbor model and crossover scaling in finite systems
• Universal Finite-Size Scaling for Percolation Theory in High Dimensions
• Finite-size Scaling of O($n$) Systems at the Upper Critical Dimensionality
• Extended Scaling in High Dimensions
• Finite-size scaling of the random-field Ising model above the upper critical dimension
• Weyl Card Diagrams
• Weyl Card Diagrams and New S-brane Solutions of Gravity
• Triviality problem and the high-temperature expansions of the higher susceptibilities for the Ising and the scalar field models on four-, five- and six-dimensional lattices
• Revisiting (logarithmic) scaling relations using renormalization group