Complete integrability and equilibrium thermodynamics of biaxial nematic systems with discrete orientational degrees of freedom

G De Matteis, F Giglio, A Moro - Proceedings of the …, 2024 - royalsocietypublishing.org
We study a discrete version of a biaxial nematic liquid crystal model with external fields via
an approach based on the solution of differential identities for the partition function. In the …

Nonlinear PDEs approach to statistical mechanics of dense associative memories

E Agliari, A Fachechi, C Marullo - Journal of Mathematical Physics, 2022 - pubs.aip.org
Dense associative memories (DAMs) are widely used models in artificial intelligence for
pattern recognition tasks; computationally, they have been proven to be robust against …

Complete integrability and equilibrium thermodynamics of biaxial nematic systems with discrete orientational degrees of freedom

G De Matteis, F Giglio, A Moro - arXiv preprint arXiv:2309.13293, 2023 - arxiv.org
We study a discrete version of a biaxial nematic liquid crystal model with external fields via
an approach based on the solution of differential identities for the partition function. In the …

Exact analysis of phase transitions in mean-field Potts models

P Lorenzoni, A Moro - Physical Review E, 2019 - APS
We construct the exact partition function of the Potts model on a complete graph subject to
external fields with linear and nematic type couplings. The partition function is obtained as a …

On solutions to a novel non-evolutionary integrable 1+ 1 PDE

F Giglio, G Landolfi, L Martina - Journal of Physics A …, 2023 - iopscience.iop.org
We investigate real solutions of a C-integrable non-evolutionary partial differential equation
in the form of a scalar conservation law where the flux density depends both on the density …

Symmetries and criticality of generalised van der Waals models

F Giglio, G Landolfi, L Martina… - Journal of Physics A …, 2021 - iopscience.iop.org
We consider a family of thermodynamic models such that the energy density can be
expressed as an asymptotic expansion in the scale formal parameter and whose terms are …

-star models, mean-field random networks, and the heat hierarchy

G Biondini, A Moro, B Prinari, O Senkevich - Physical Review E, 2022 - APS
We consider the mean-field analog of the p-star model for homogeneous random networks,
and we compare its behavior with that of the p-star model and its classical mean-field …

[图书][B] Mean field theories and differential identities for multispecies Ising models and exponential random graph models

O Senkevich - 2022 - search.proquest.com
This work is concerned with the mean field theories (MFTs) of multispecies Ising models and
various probabilistic ensembles of graphs known as exponential random graph models …

[PDF][PDF] Estudo do modelo de Maier-Saupe-Zwanzig em redes com invariância de escala

CTG dos Santos - ppgfis.ufba.br
Cristais líquidos, substâncias que possuem tanto propriedades de sólidos quanto de
líquidos, do tipo nemático são razoavelmente bem descritos pelo modelo estatístico de …

[引用][C] Exact analysis of phase transitions in mean-field

P Lorenzoni, A Moro - 2019 - by: American Physical Society