Statistical model for self-assembly of trimesic acid molecules into homologous series of flower phases

A Ibenskas, EE Tornau - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
The statistical three-state model is proposed to describe the ordering of triangular TMA
molecules into flower phases. The model is solved on a rescaled triangular lattice, assuming …

model with higher-order exchange

M Žukovič, G Kalagov - Physical Review E, 2017 - APS
An XY model, generalized by inclusion of up to an infinite number of higher-order pairwise
interactions with an exponentially decreasing strength, is studied by spin-wave theory and …

Phase ordering, topological defects, and turbulence in the three-dimensional incompressible Toner-Tu equation

N Rana, P Perlekar - Physical Review E, 2022 - APS
We investigate the phase-ordering dynamics of the incompressible Toner-Tu equation in
three dimensions. We show that the phase ordering proceeds via defect merger events and …

Generalized model with competing antiferromagnetic and antinematic interactions

M Žukovič - Physical Review E, 2024 - APS
I study effects of q-order antinematic (AN q) interactions on the critical behavior of the
antiferromagnetic (AF) XY model on a square lattice. It is found that the evolution of the …

Topological lattice actions for the 2d XY model

W Bietenholz, M Bögli, F Niedermayer, M Pepe… - Journal of High Energy …, 2013 - Springer
A bstract We consider the 2d XY Model with topological lattice actions, which are invariant
against small deformations of the field configuration. These actions constrain the angle …

Magnetic quasi-long-range ordering in nematic systems due to competition between higher-order couplings

M Žukovič, G Kalagov - Physical Review E, 2018 - APS
Critical properties of the two-dimensional XY model involving solely nematic-like terms of the
second and third orders are investigated by spin-wave analysis and Monte Carlo simulation …

Quasi-Long-Range Order and Vortex Lattice in the Three-State Potts Model

S Bhattacharya, P Ray - Physical Review Letters, 2016 - APS
We show that the order-disorder phase transition in the three-state Potts ferromagnet on a
square lattice is driven by a coupled proliferation of domain walls and vortices. Raising the …

Phase transition of a two-dimensional generalized XY model

Y Komura, Y Okabe - Journal of Physics A: Mathematical and …, 2010 - iopscience.iop.org
We study a two-dimensional generalized XY model that depends on an integer q by the
Monte Carlo method. This model was recently proposed by Romano and Zagrebnov. We …

Estrutura BPS em teorias de calibre abelianas com derivadas de ordem superior

ES HOLANDA - 2023 - tedebc.ufma.br
A dissertação discute a existência de defeitos topológicos tipo vórtices BPS (do tipo
Abrikosov-Nielsen-Olesen) em modelos de calibre abelianos possuindo altas derivadas no …

Ensemble equivalence in spin systems with short-range interactions

K Takahashi, H Nishimori… - Journal of Statistical …, 2011 - iopscience.iop.org
We study the problem of ensemble equivalence in spin systems with short-range
interactions under the existence of a first-order phase transition. The spherical model with …