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We show how microstructure can arise in first-order ferroelastic structural transitions, in two and three spatial dimensions, through a local meanfield approximation of their pseudospin hamiltonians, that include anisotropic elastic…

Materials Science · Physics 2010-12-09 Romain Vasseur , Turab Lookman , Subodh R. Shenoy

A quasi-spin Ising model of ferroelastic phase transition is developed and employed to perform atomic-scale Monte Carlo simulation of thermoelastic martensitic transformation. The quasi-spin variable associated with the lattice sites…

Materials Science · Physics 2019-12-24 Xiaoxu Guo , Yongmei M. Jin , Yang Ren , Yu U. Wang

We study the mechanics of temperature-driven reconstructive martensitic transformations in crystalline materials, within the framework of nonlinear elasticity theory. We focus on the prototypical case of the square-hexagonal transition in…

Materials Science · Physics 2025-05-23 Edoardo Arbib , Noemi Barrera , Paolo Biscari , Giovanni Zanzotto

We perform Monte Carlo simulations of a gauge invariant spin system which describes random surfaces with gonihedric action in four dimensions. The Hamiltonian is a mixture of one-plaquette and additional two- and three-plaquette interaction…

High Energy Physics - Theory · Physics 2009-10-30 G. Koutsoumbas , G. K. Savvidy , K. G. Savvidy

The Quantum Monte-Carlo simulations of the two-dimensional Hubbard model are presented for the half filling. The method based on the direct-space proposed by Suzuki and al., and Hirsch and al. was used. The states generated by this method…

Strongly Correlated Electrons · Physics 2008-10-10 Bernard Martinie

We present our theoretical and numerical results on thermodynamic properties and the microscopic mechanism of two successive transitions in vanadium spinel oxides $A$V$_2$O$_4$ ($A$=Zn, Mg, or Cd) obtained by Monte Carlo calculations of an…

Strongly Correlated Electrons · Physics 2007-05-23 Yukitoshi Motome , Hirokazu Tsunetsugu

We study superfluid--solid zero-temperature transitions in two-dimensional lattice boson/spin models by Worm-Algorithm Monte Carlo simulations. We observe that such transitions are typically first-order with the exception of special…

Statistical Mechanics · Physics 2009-11-10 Anatoly Kuklov , Nikolay Prokof'ev , Boris Svistunov

The presence of stable topological defects in a two-dimensional (\textit{d} = 2) liquid crystal model allowing molecular reorientations in three dimensions (\textit{n} = 3) was largely believed to induce defect-mediated…

Soft Condensed Matter · Physics 2018-11-28 B. Kamala Latha , V. S. S. Sastry

The common phase diagrams of superconducting iron pnictides show interesting material specificities in the structural and magnetic phase transitions. In some cases the two transitions are separate and second order, while in others they…

Strongly Correlated Electrons · Physics 2012-02-14 Ryan Applegate , Rajiv R. P. Singh , Cheng-Chien Chen , Thomas P. Devereaux

Entropy barriers and ageing states appear in martensitic structural-transition models, slowly re-equilibrating after temperature quenches, under Monte Carlo dynamics. Concepts from protein folding and ageing harmonic oscillators turn out to…

Materials Science · Physics 2016-03-14 N. Shankaraiah , K. P. N. Murthy , T. Lookman , S. R. Shenoy

We report on classical Monte Carlo study of phase transitions and critical behavior of a 2D spin-pseudospin model describing a dilute magnet with competing charge and spin interactions. The static critical exponents of the specific heat and…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , Yu. D. Panov

Phase transitions in a classical Heisenberg spin model of a chiral helimagnet with the Dzyaloshinskii--Moriya (DM) interaction in three dimensions are numerically studied. By using the event-chain Monte Carlo algorithm recently developed…

Statistical Mechanics · Physics 2016-08-29 Yoshihiko Nishikawa , Koji Hukushima

We use protein folding energy landscape concepts such as golf-course and funnel to study re-equilibration in athermal martensite parameter regime of triangle-to-centered rectangle, square-to-oblique, and triangle-to-oblique transitions…

Statistical Mechanics · Physics 2017-11-01 N. Shankaraiah

We present extensive Monte Carlo simulations on a two-dimensional XY model with a modified form of interaction potential. Thermodynamic quantities other than energy, specific heat etc (such as magnetization, susceptibility, fourth order…

Statistical Mechanics · Physics 2013-05-24 Suman Sinha

Nonequilibrium wetting transitions are observed in Monte Carlo simulations of a kinetic spin system in the absence of a detailed balance condition with respect to an energy functional. A nonthermal model is proposed starting from a…

Statistical Mechanics · Physics 2015-05-27 Jef Hooyberghs , Joseph O. Indekeu

Quantum Monte Carlo method is used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter filling. We calculate the temperature…

Strongly Correlated Electrons · Physics 2007-05-23 T. Nakaegawa , Y. Ohta

We study by large-scale Monte Carlo simulation the $RP^3$ model, which can be regarded as an effective low-energy model of a triangular lattice Heisenberg antiferromagnet. $Z_2$ vortices appear as elementary excitations in the triangular…

Statistical Mechanics · Physics 2023-10-09 Tsuyoshi Okubo , Naoki Kawashima

We study the thermodynamic phase transition of a spin Hamiltonian comprising two 3D magnetic sublattices. Each sublattice contains XY spins coupled by the usual bilinear exchange, while spins in different sublattices only interact via…

Strongly Correlated Electrons · Physics 2010-09-29 Yoshitomo Kamiya , Naoki Kawashima , C. D. Batista

The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are…

Statistical Mechanics · Physics 2025-10-02 Akhilesh M P , Toby Joseph

We study thermodynamics of the 3D Hubbard model at half filling on approach to the N\'eel transition by means of large-scale unbiased Diagrammatic Determinant Monte Carlo simulations. We obtain the transition temperature in the strongly…

Quantum Gases · Physics 2015-06-12 E. Kozik , E. Burovski , V. W. Scarola , M. Troyer
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