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We consider a model in which positive and negative particles with equal densities diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and oppositely-charged adjacent…

Statistical Mechanics · Physics 2015-06-25 Peter F. Arndt , Thomas Heinzel , Vladimir Rittenberg

We present a magnetoelastic lattice in which a localized external magnetic field, generated by an assembly of fixed magnets, tunes the potential landscape to create monostable, bistable, and tristable configurations. Focusing on the…

Pattern Formation and Solitons · Physics 2025-01-22 Anusree Ray , Samanvay Anand , Vivekanand Dabade , Rajesh Chaunsali

We deal here with three metastable systems: 1{\textdegree}- the dowser texture, 2{\textdegree}- supertwistedcholesterics and 3{\textdegree}- hypotwisted cholesterics. We outline remarkable properties of tropisms of the dowser texture…

Soft Condensed Matter · Physics 2023-06-21 P. Pieranski , M. Godinho

We consider the problem of non degenerate in energy metastable states forming a series in the framework of reversible finite state space Markov chains. We assume that starting from the state at higher energy the system necessarily visits…

Mathematical Physics · Physics 2017-05-24 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

We study quenched dynamics of fully-connected spin models. The system is prepared in a ground state of the initial Hamiltonian and the Hamiltonian is suddenly changed to a different form. We apply the Krylov subspace method to map the…

Quantum Physics · Physics 2025-08-20 Kazutaka Takahashi

We consider the Potts model on a two-dimensional periodic rectangular lattice with general coupling constants $J_{ij}>0$, where $i,j\in\{1,2,3\}$ are the possible spin values (or colors). The resulting energy landscape is thus significantly…

Probability · Mathematics 2024-05-09 Gianmarco Bet , Anna Gallo , Seonwoo Kim

Inspired by recent experiments on bilayer 3He, we consider a bilayer Hubbard model on a triangular lattice. For appropriate model parameters, we observe a band-selective Mott transition at a critical chemical potential, mu_c, corresponding…

Strongly Correlated Electrons · Physics 2009-05-11 K. S. D. Beach , F. F. Assaad

Semiconductor quantum dots provide a spin-coupled system of an electron and nuclei via enhanced hyperfine interaction. We showed that the nuclear spin polarization in single quantum dots can have three stable branches under a longitudinal…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Sota Yamamoto , Reina Kaji , Hirotaka Sasakura , Satoru Adachi

We have adopted the multistep shell model in the complex energy plane to study nuclear excitations occurring in the continuum part of the spectrum. In this method one proceeds by solving the shell model equations in a successive manner.…

Nuclear Theory · Physics 2012-03-09 Z. X. Xu , C. Qi , R. J. Liotta , R. Wyss

In this work we investigate the Blume-Capel model with infinite-range ferromagnetic interactions and under the influence of a quenched disorder - a random crystal field. For a suitable choice of the random crystal field the model displays a…

Statistical Mechanics · Physics 2016-08-08 P. V. Santos , F. A. Costa , J. M. Araújo

Cluster Monte Carlo algorithms are widely regarded as the most effective route to overcoming critical slowing down in lattice spin systems. Whether this acceleration persists in the presence of vacancies and multicritical fluctuations,…

Statistical Mechanics · Physics 2026-05-11 Minjun Jeon , Alexandros Vasilopoulos , Dong-Hee Kim , Víctor Martín-Mayor , Nikolaos G. Fytas

This investigation employs a square lattice and Glauber dynamics methodology to probe the effects of diluteness in the crystal-field interaction in a Blume-Capel Ising system under an oscillating magnetic-field. Fourteen different phase…

Statistical Mechanics · Physics 2015-03-17 Gul Gulpinar , Erol Vatansever

We study a spin system with two- and four-spin exchange interactions on the triangular lattice, which is a possible model for the nuclear magnetism of solid $^3$He layers. It is found that a novel spin structure with scalar chiral order…

Condensed Matter · Physics 2009-10-30 Tsutomu Momoi , Kenn Kubo , Koji Niki

In this work, we investigate the thermodynamic properties of the quantum Blume-Capel model with spin \( S = 5/2 \) in the presence of transverse and random crystalline fields. The system is described by a Hamiltonian that includes…

Systems of particles in a confining potential exhibit a spatially dependent density which fundamentally alters the nature of phase transitions that occur. A specific instance of this situation, which is being extensively explored currently,…

Statistical Mechanics · Physics 2013-05-29 S. M. Pittman , G. G. Batrouni , R. T. Scalettar

We obtain the phase diagram for the Blume-Capel model with bimodal distribution for random crystal fields, in the space of three fields: temperature, crystal field and magnetic field. We find that three critical lines meet at a tricritical…

Statistical Mechanics · Physics 2020-05-06 Sumedha , Soheli Mukherjee

In the present chapter, we focus on the switching of magnetisation, or the metastable lifetime of a ferromagnetic system. In this regard, particularly the Ising model and the Blume-Capel model, have been simulated in the presence of an…

Statistical Mechanics · Physics 2023-04-27 Moumita Naskar , Muktish Acharyya

Expansions through the 24th order at high-temperature and up to 11th order at low-temperature are derived for the main observables of the Blume-Capel model on bipartite lattices (sq, sc and bcc) in 2d and 3d with various values of the spin…

Statistical Mechanics · Physics 2018-05-24 P. Butera , M. Pernici

Atomistic simulations provide valuable insights into the physical processes governing material behavior. However, their applicability is fundamentally constrained by the limited time scales accessible to brute-force simulations. This…

Computational Physics · Physics 2026-02-16 Michael Kim , Wei Cai

We investigate the critical properties of the spin-3/2 Blume-Capel model in two dimensions on a random lattice with quenched connectivity disorder. The disordered system is simulated by applying the cluster hybrid Monte Carlo update…

Statistical Mechanics · Physics 2015-06-25 F. W. S. Lima , J. A. Plascak