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19992023
most citedCritical phenomena on scale-free networks: logarithmic corrections and scaling functions

18 citations · 62 across the 8 of their papers we have counts for

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cond-mat.stat-mech2023★ 2 cited

When correlations exceed system size: finite-size scaling in free boundary conditions above the upper critical dimension

Yu. Honchar, B. Berche, Yu. Holovatch +1

We progress finite-size scaling in systems with free boundary conditions above their upper critical dimension, where in the thermodynamic limit critical scaling is described by mea…

cond-mat.stat-mech2013★ 11 cited

Potts Models with Invisible States on General Bethe Lattices

N. Ananikian, N. Sh. Izmailyan, D. A. Johnston +2

The number of so-called invisible states which need to be added to the q-state Potts model to transmute its phase transition from continuous to first order has attracted recent att…

cond-mat.stat-mech2010★ 18 cited

Critical phenomena on scale-free networks: logarithmic corrections and scaling functions

V. Palchykov, C. von Ferber, R. Folk +2

In this paper, we address the logarithmic corrections to the leading power laws that govern thermodynamic quantities as a second-order phase transition point is approached. For pha…

cond-mat.stat-mech2009★ 12 cited

The quenched-disordered Ising model in two and four dimensions

A. Gordillo-Guerrero, R. Kenna, J. J. Ruiz-Lorenzo

We briefly review the Ising model with uncorrelated, quenched random-site or random-bond disorder, which has been controversial in both two and four dimensions. In these dimensions…

cond-mat.stat-mech2006★ 3 cited

Critical Exponents from General Distributions of Zeroes

W. Janke, D. Johnston, R. Kenna

All of the thermodynamic information on a statistical mechanical system is encoded in the locus and density of its partition function zeroes. Recently, a new technique was develope…