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We study the effect of a one-dimensional driving field on the interface between two coexisting phases in a two dimensional model. This is done by considering an Ising model on a cylinder with Glauber dynamics in all sites and additional…

Statistical Mechanics · Physics 2015-11-06 Or Cohen , David Mukamel

We use a phase-separated driven two-dimensional Ising lattice gas to study fluid interfaces exposed to shear flow parallel to the interface. The interface is stabilized by two parallel walls with opposing surface fields and a driving field…

Statistical Mechanics · Physics 2009-11-13 Thomas H. R. Smith , Oleg Vasilyev , Douglas B. Abraham , Anna Maciołek , Matthias Schmidt

In a recent paper, Clusel and Fortin [J. Phys. A.: Math. Gen. 39 (2006) 995] presented an analytical study of a first-order transition induced by an inhomogeneous boundary magnetic field in the two-dimensional Ising model. They identified…

Statistical Mechanics · Physics 2008-09-05 Elmar Bittner , Wolfhard Janke

This article reviews static and dynamic interfacial effects in magnetism, focusing on interfacially-driven magnetic effects and phenomena associated with spin-orbit coupling and intrinsic symmetry breaking at interfaces. It provides a…

We study the steady state structure and dynamics of a 2-d Ising interface placed in an inhomogeneous external field with a sigmoidal profile which moves with velocity $v_{e}$. In the strong coupling limit the problem maps onto an…

Soft Condensed Matter · Physics 2007-07-17 Abhishek Chaudhuri , Surajit Sengupta

We study the structure of an interface in a three dimensional Ising system created by an external non-uniform field $H({\bf r},t)$. $H$ changes sign over a two dimensional plane of arbitrary orientation. When the field is pulled with…

Statistical Mechanics · Physics 2009-11-13 Manish K. Sahai , Surajit Sengupta

We consider an Ising model on a square grid with ferromagnetic spin-spin interactions spanning beyond nearest neighbors. Starting from initial states with a single unbounded interface separating ordered phases, we investigate the evolution…

Statistical Mechanics · Physics 2013-06-25 P. L. Krapivsky , Jason Olejarz

We present in this paper an exact study concerning a first order transition induced by an inhomogeneous boundary magnetic field in the 2D Ising model. From a previous analysis of the interfacial free energy in the discrete case (J. Phys. A,…

Statistical Mechanics · Physics 2007-05-23 Maxime Clusel , Jean-Yves Fortin

We investigate the evolution of a single unbounded interface between ordered phases in two-dimensional Ising ferromagnets that are endowed with single-spin-flip zero-temperature Glauber dynamics. We examine specifically the cases where the…

Statistical Mechanics · Physics 2009-11-10 P. L. Krapivsky , S. Redner , J. Tailleur

We study the dynamics of an interface (active domain) between different absorbing regions in models with two absorbing states in one dimension; probabilistic cellular automata models and interacting monomer-dimer models. These models…

Statistical Mechanics · Physics 2009-10-31 Sungchul Kwon , WonMuk Hwang , Hyunggyu Park

We study phase separation in two dimensions in the scaling limit below criticality. The general form of the magnetization profile as the volume goes to infinity is determined exactly within the field theoretical framework which explicitly…

High Energy Physics - Theory · Physics 2012-10-31 Gesualdo Delfino , Jacopo Viti

Using an efficient one and two qubit gate simulator, operating on graphical processing units, we investigate ergodic properties of a quantum Ising spin 1/2 model on a two dimensional lattice, which is periodically driven by a…

Statistical Mechanics · Physics 2015-01-07 Carlos Pineda , Tomaž Prosen , Eduardo Villaseñor

An Ising model with local Glauber dynamics is studied under the influence of additional kinetic restrictions for the spin-flip rates depending on the orientation of neighboring spins. Even when the static interaction between the spins is…

Statistical Mechanics · Physics 2009-10-31 Steffen Trimper

Properties of the two dimensional Ising model with fixed magnetization are deduced from known exact results on the two dimensional Ising model. The existence of a continuous phase transition is shown for arbitrary values of the fixed…

Statistical Mechanics · Physics 2007-05-23 Michael Kastner

In a recent paper [Phys. Rev. Lett. 129, 120601] we have shown that the dynamics of interfaces, in the symmetry-broken phase of the two-dimensional ferromagnetic quantum Ising model, displays a robust form of ergodicity breaking. In this…

Statistical Mechanics · Physics 2023-01-24 Federico Balducci , Andrea Gambassi , Alessio Lerose , Antonello Scardicchio , Carlo Vanoni

A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

Statistical Mechanics · Physics 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

The steady state structure of an interface in an Ising system on a square lattice placed in a {\em non-uniform} external field, shows a commensurate -incommensurate transition driven by the velocity of the interface. The non-uniform field…

Statistical Mechanics · Physics 2007-07-17 Abhishek Chaudhuri , P. A. Sreeram , Surajit Sengupta

We consider the scaling limit of a generic ferromagnetic system with a continuous phase transition, on the half plane with boundary conditions leading to the equilibrium of two different phases below criticality. We use general properties…

Statistical Mechanics · Physics 2014-10-09 Gesualdo Delfino , Alessio Squarcini

We study boundary induced phase transitions in a driven lattice gas exhibiting metastability. The phase diagram for open systems, parameterized by the input and output rates, consists of two regions corresponding to the free flow and jammed…

Statistical Mechanics · Physics 2010-05-11 Cecile Appert , Ludger Santen

The Glauber model on a one-dimensional lattice with boundaries (for the ferromagnetic- and anti-ferromagnetic case) is considered. The large-time behaviour of the one-point function is studied. It is shown that, for any positive…

Statistical Mechanics · Physics 2009-11-07 Mohammad Khorrami , Amir Aghamohammadi
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