Zobrazeno 1 - 10
of 28 037
pro vyhledávání: '"potts model"'
Autor:
Kassenova, Tolkyn1 (AUTHOR) tkkasenova@gmail.com, Tsyba, Pyotr2 (AUTHOR) olvikraz@mail.ru, Razina, Olga2 (AUTHOR)
Publikováno v:
Symmetry (20738994). Jul2024, Vol. 16 Issue 7, p842. 8p.
Autor:
Noguchi, Hiroshi1 (AUTHOR) noguchi@issp.u-tokyo.ac.jp, van Wijland, Frédéric2 (AUTHOR) frederic.van-wijland@u-paris.fr, Fournier, Jean-Baptiste2 (AUTHOR) jean-baptiste.fournier@u-paris.fr
Publikováno v:
Journal of Chemical Physics. 7/14/2024, Vol. 161 Issue 2, p1-7. 7p.
The number $n_s$ of clusters (per site) of size $s$, a central quantity in percolation theory, displays at criticality an algebraic scaling behavior of the form $n_s\simeq s^{-\tau}\, A\, (1+B s^{-\Omega})$. For the Fortuin--Kasteleyn representation
Externí odkaz:
http://arxiv.org/abs/2411.12646
Within the canonical ensemble framework, this paper investigates the presence of higher-order transition signals in the q-state Potts model (for q>3), using two geometric order parameters: isolated spins number and the average perimeter of clusters.
Externí odkaz:
http://arxiv.org/abs/2411.00423
We consider the problem of sampling from the ferromagnetic $q$-state Potts model on the random $d$-regular graph with parameter $\beta>0$. A key difficulty that arises in sampling from the model is the existence of a metastability window $(\beta_u,\b
Externí odkaz:
http://arxiv.org/abs/2410.14409
Autor:
Hairer, Martin1 (AUTHOR)
Publikováno v:
Bulletin (New Series) of the American Mathematical Society. Jan2024, Vol. 61 Issue 1, p55-71. 17p.
Autor:
Gaite, Jose
The critical behavior of three-state statistical models invariant under the full symmetry group $S_3$ and its dependence on space dimension have been a matter of interest and debate. In particular, the phase transition of the 3-state Potts model in t
Externí odkaz:
http://arxiv.org/abs/2407.15497
Publikováno v:
Phys. Rev. E 110, 014135 (2024)
We investigate the dynamical critical behavior of the two-dimensional three-state Potts model with single spin-flip dynamics in equilibrium. We focus on the mean-squared deviation of the magnetization $M$ (MSD$_{M}$) as a function of time, as well as
Externí odkaz:
http://arxiv.org/abs/2407.08198
Publikováno v:
New J. Phys. 26, 093043 (2024)
The nonequilibrium dynamics of a cycling three-state Potts model is studied on a square lattice using Monte Carlo simulations and continuum theory. This model is relevant to chemical reactions on a catalytic surface and to molecular transport across
Externí odkaz:
http://arxiv.org/abs/2407.02985
We consider the critical behavior of two-dimensional Potts models in presence of a bond disorder in which the correlation decays as a power law. In some recent work the thermal sector of this theory was investigated by a renormalization group computa
Externí odkaz:
http://arxiv.org/abs/2407.13456