Gibbs measures of Potts model on Cayley trees: a survey and applications
UA Rozikov - Reviews in Mathematical Physics, 2021 - World Scientific
In this paper, we give a systematic review of the theory of Gibbs measures of Potts model on
Cayley trees (developed since 2013) and discuss many applications of the Potts model to …
Cayley trees (developed since 2013) and discuss many applications of the Potts model to …
[图书][B] Gibbs measures in biology and physics: The Potts model
UA Rozikov - 2022 - World Scientific
In this chapter we give main definitions and useful facts of the theory of Gibbs measures of
lattice spin systems. In the first section we give general definitions. This chapter also …
lattice spin systems. In the first section we give general definitions. This chapter also …
A tunable magnetic metamaterial based on the dipolar four-state Potts model
Metamaterials, tunable artificial materials, are useful playgrounds to investigate magnetic
systems. So far, artificial Ising spin systems have revealed features such as emergent …
systems. So far, artificial Ising spin systems have revealed features such as emergent …
On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field
LV Bogachev, UA Rozikov - Journal of Statistical Mechanics …, 2019 - iopscience.iop.org
The paper concerns the q-state Potts model (ie with spin values in) on a Cayley tree of
degree (ie with k+ 1 edges emanating from each vertex) in an external (possibly random) …
degree (ie with k+ 1 edges emanating from each vertex) in an external (possibly random) …
[HTML][HTML] An interplay between reaction-diffusion and cell-matrix adhesion regulates multiscale invasion in early breast carcinomatosis
The progression of cancer in the breast involves multiple reciprocal interactions between
malignantly transformed epithelia, surrounding untransformed but affected stromal cells, and …
malignantly transformed epithelia, surrounding untransformed but affected stromal cells, and …
[HTML][HTML] Simulation of single-species bacterial-biofilm growth using the Glazier-Graner-Hogeweg model and the CompuCell3D modeling environment
NJ Popławski, A Shirinifard, M Swat… - … and engineering: MBE, 2008 - ncbi.nlm.nih.gov
The CompuCell3D modeling environment provides a convenient platform for biofilm
simulations using the Glazier-Graner-Hogeweg (GGH) model, a cell-oriented framework …
simulations using the Glazier-Graner-Hogeweg (GGH) model, a cell-oriented framework …
[HTML][HTML] A little statistical mechanics for the graph theorist
L Beaudin, J Ellis-Monaghan, G Pangborn… - Discrete Mathematics, 2010 - Elsevier
In this survey, we give a friendly introduction from a graph theory perspective to the q-state
Potts model. The Potts model is an important statistical mechanics tool for analyzing …
Potts model. The Potts model is an important statistical mechanics tool for analyzing …
Sampling algorithms for discrete Markov random fields and related graphical models
AJ Izenman - Journal of the American Statistical Association, 2021 - Taylor & Francis
Discrete Markov random fields are undirected graphical models in which the nodes of a
graph are discrete random variables with values usually represented by colors. Typically …
graph are discrete random variables with values usually represented by colors. Typically …
FPGA hardware acceleration of monte carlo simulations for the ising model
F Ortega-Zamorano, MA Montemurro… - … on Parallel and …, 2015 - ieeexplore.ieee.org
A two-dimensional Ising model with nearest-neighbors ferromagnetic interactions is
implemented in a Field Programmable Gate Array (FPGA) board. Extensive Monte Carlo …
implemented in a Field Programmable Gate Array (FPGA) board. Extensive Monte Carlo …
q-state Potts model metastability study using optimized GPU-based Monte Carlo algorithms
EE Ferrero, JP De Francesco, N Wolovick… - Computer Physics …, 2012 - Elsevier
We implemented a GPU-based parallel code to perform Monte Carlo simulations of the two-
dimensional q-state Potts model. The algorithm is based on a checkerboard update scheme …
dimensional q-state Potts model. The algorithm is based on a checkerboard update scheme …