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A monolayer of molecules or quantum dots sandwiched between electrodes can be driven out of equilibrium by the application of a bias voltage between the electrodes. We study charge ordering, i.e., the spontaneous formation of a charge…

Statistical Mechanics · Physics 2016-11-28 Tim Ludwig , Carsten Timm

This chapter deals with various aspects related to the adsorption of long chain-like macromolecules (polymers) onto solid surfaces. Physical aspects of the adsorption mechanism are elaborated mainly at thermodynamical equilibrium. The basic…

Soft Condensed Matter · Physics 2007-05-23 David Andelman , Roland R. Netz

The Bell-Lavis model for liquid water is investigated through numerical simulations. The lattice-gas model on a triangular lattice presents orientational states and is known to present a highly bonded low density phase and a loosely bonded…

Statistical Mechanics · Physics 2015-05-13 Carlos E. Fiore , Marcia Szortyka , Marcia C. Barbosa , Vera B. Henriques

We investigate the influence of boundaries and spatial nonreciprocity on nonequilibrium driven-dissipative phase transitions. We focus on a one-dimensional lattice of nonlinear bosons described by a Lindblad master equation, where the…

Quantum Physics · Physics 2025-09-26 Ron Belyansky , Cheyne Weis , Ryo Hanai , Peter B. Littlewood , Aashish A. Clerk

The dynamics of desorption from a submonolayer of adsorbed atoms or ions are significantly influenced by the absence or presence of lateral diffusion of the adsorbed particles. When diffusion is present, the adsorbate configuration is…

Chemical Physics · Physics 2013-10-18 Tjipto Juwono , Per Arne Rikvold

We study the nonequilibrium phase transitions from the absorbing phase to the active phase for the model of disease spreading (Susceptible-Infected-Refractory-Susceptible (SIRS)) on a regular one dimensional lattice. In this model,…

Statistical Mechanics · Physics 2023-08-15 M. Ali Saif

We construct the complete structural phase diagram of polymer adsorption at substrates with attractive stripe-like patterns in the parameter space spanned by the adsorption affinity of the stripes and temperature. Results were obtained by…

Statistical Mechanics · Physics 2014-04-14 Monika Möddel , Wolfhard Janke , Michael Bachmann

We investigate bond- and site-percolation models on several two-dimensional lattices numerically, by means of transfer-matrix calculations and Monte Carlo simulations. The lattices include the square, triangular, honeycomb kagome and diced…

Statistical Mechanics · Physics 2009-01-13 Xiaomei Feng , Youjin Deng , Henk W. J. Blote

Lattice Monte Carlo simulations are used to study the phase behavior of self-assembling ordered mesoporous materials formed by an organic template with amphiphilic properties and an inorganic precursor in a model solvent. Three classes of…

Soft Condensed Matter · Physics 2010-06-07 Alessandro Patti

We study phase transitions in the two-dimensional Heisenberg model with the Dzyaloshinskii-Moriya interaction, the Ising anisotropy ($\eta$), and the dipolar interaction under zero and finite magnetic fields ($H$). For three typical…

Statistical Mechanics · Physics 2021-06-03 Hisato Komatsu , Yoshihiko Nonomura , Masamichi Nishino

A 2D lattice model defined on a triangular lattice with nearest- and next-nearest-neighbor interactions based on the Taylor-Socolar monotile is known to have a limit-periodic ground state. The system reaches that state during a slow quench…

Statistical Mechanics · Physics 2015-04-21 Catherine Marcoux , Travis W. Byington , Zongjin Qian , Patrick Charbonneau , Joshua E. S. Socolar

Self-organization of charged particles on a 2D lattice, subject to an anisotropic Jahn-Teller-type interaction and 3D Coulomb repulsion is investigated. In the mean-field approximation without Coulomb interaction, the system displays a…

Strongly Correlated Electrons · Physics 2008-11-19 T. Mertelj , V. V. Kabanov , J. Miranda , D. Mihailovic

Within self-consistent field theory we study the phase behavior of a symmetrical binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A…

Statistical Mechanics · Physics 2007-05-23 M. Mueller , K. Binder , E. V. Albano

The theory of statistical-mechanical lattice-gas modeling of adsorption is reviewed and shown to be applicable to a range of electrochemical problems dominated by effective, lateral adsorbate--adsorbate interactions. A general strategy for…

Condensed Matter · Physics 2007-05-23 P. A. Rikvold , J. Zhang , Y. -E. Sung , A. Wieckowski

In complex electronic materials, coupling between electrons and the atomic lattice gives rise to remarkable phenomena, including colossal magnetoresistance and metal-insulator transitions. Charge-ordered phases are a prototypical…

We present a numerical study on an interacting monomer-dimer model with nearest neighbor repulsion on a square lattice, which possesses two symmetric absorbing states. The model is observed to exhibit two nearby continuous transitions: the…

Statistical Mechanics · Physics 2015-05-27 Keekwon Nam , Sangwoong Park , Bongsoo Kim , Sung Jong Lee

Phase separation of sequence-disordered liquid crystalline polymers, a promising class of technological and biological relevance, is studied by field theory, and thermodynamic mechanisms responsible for orientational ordering observed in…

Statistical Mechanics · Physics 2016-08-31 L. Gutman , E. I. Shakhnovich

We analyse numerically the critical behavior of an absorbing phase transition in a conserved lattice gas in an external field. The external field is realized as a spontaneous creation of active particles which drives the system away from…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck

The model of competition between densities of two different species, called predator and prey, is studied on a one dimensional periodic lattice, where each site can be in one of the four states say, empty, or occupied by a single predator,…

Statistical Mechanics · Physics 2011-06-02 Rakesh Chatterjee , P. K. Mohanty , Abhik Basu

We study the contact process on layered networks in which each layer is unidirectionally coupled to the next layer. Each layer has elements sitting on i) Erd{\"o}s-R{\'e}yni network, ii) a $d$-dimensional lattice. The layer at the top which…

Statistical Mechanics · Physics 2022-07-20 Manoj C. Warambhe , Ankosh D. Deshmukh , Prashant M. Gade