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Related papers: Interface localization near criticality

200 papers

We study the joint asymptotic behavior of spacings between particles at the edge of multilevel Dyson Brownian motions, when the number of levels tends to infinity. Despite the global interactions between particles in multilevel Dyson…

Probability · Mathematics 2014-09-09 Vadim Gorin , Mykhaylo Shkolnikov

Using coarse grained models we investigate the behavior of water adjacent to an extended hydrophobic surface peppered with various fractions of hydrophilic patches of different sizes. We study the spatial dependence of the mean interface…

Statistical Mechanics · Physics 2014-09-09 Adam P. Willard , David Chandler

Depletion of the liquid density near a solid surface with a weak long-range fluid-surface interaction was studied by computer simulations of the liquid-vapor coexistence of a LJ fluid confined in slitlike pores. In a wide temperature range…

Statistical Mechanics · Physics 2015-06-25 A. Oleinikova , I. Brovchenko , A. Geiger

We consider a diffusion process with coefficients that are periodic outside of an 'interface region' of finite thickness. The question investigated in the articles [1,2] is the limiting long time / large scale behaviour of such a process…

Probability · Mathematics 2009-10-05 Martin Hairer , Charles Manson

We introduce a diffuse interface model for the phenomenon of electrowetting on dielectric and present an analysis of the arising system of equations. Moreover, we study discretization techniques for the problem. The model takes into account…

Numerical Analysis · Mathematics 2011-12-30 Ricardo H. Nochetto , Abner J. Salgado , Shawn W. Walker

The two-dimensional Ising model with nearest-neighbor ferromagnetic and long-range dipolar interactions exhibits a rich phase diagram. The presence of the dipolar interaction changes the ferromagnetic ground state expected for the pure…

Statistical Mechanics · Physics 2010-02-18 Leandro G. Rizzi , Nelson A. Alves

The interactions between dislocations and interface/grain boundaries, including dislocation absorption, transmission, and reflection, have garnered significant attention from the research community for their impact on the mechanical…

Applied Physics · Physics 2023-09-29 Jinxin Yu , Alfonso H. W. Ngan , David J. Srolovitz , Jian Han

A key starting assumption in many classical interatomic potential models for materials is a site energy decomposition of the potential energy surface into contributions that only depend on a small neighbourhood. Under a natural stability…

Mathematical Physics · Physics 2020-09-10 Jack Thomas

Diffusion models undergo a phase transition in a critical time window during generation dynamics, with two complementary diagnoses of criticality. The symmetry breaking picture views the critical window as when trajectories bifurcate into…

Machine Learning · Computer Science 2026-05-08 Yifan F. Zhang , Fangjun Hu , Guangkuo Liu , Mert Okyay , Xun Gao

A one-dimensional interacting particle system is said to exhibit interface tightness if starting in an initial condition describing the interface between two constant configurations of different types, the process modulo translations is…

Probability · Mathematics 2018-10-25 Rongfeng Sun , Jan M. Swart , Jinjiong Yu

In this paper we develop a detailed analysis of critical prewetting in the context of the two-dimensional Ising model. Namely, we consider a two-dimensional nearest-neighbor Ising model in a $2N\times N$ rectangular box with a boundary…

Probability · Mathematics 2022-10-04 Dmitry Ioffe , Sébastien Ott , Senya Shlosman , Yvan Velenik

We compare results of the exact field theory of phase separation in two dimensions with Monte Carlo simulations for the $q$-state Potts model with boundary conditions producing an interfacial region separating two pure phases. We confirm in…

Statistical Mechanics · Physics 2018-05-15 Gesualdo Delfino , Walter Selke , Alessio Squarcini

The influence of nonequilibrium bulk conditions on the properties of the interfaces exhibited by a kinetic Ising--like model system with nonequilibrium steady states is studied. The system is maintained out of equilibrium by perturbing the…

Statistical Mechanics · Physics 2009-11-10 P. I. Hurtado , P. L. Garrido , J. Marro

Using extensive Monte Carlo simulations, we study the interface localization- delocalization transition of a thin Ising film with antisymmetric competing walls for a set of parameters where the transition is strongly first-order. This is…

Statistical Mechanics · Physics 2009-11-10 B. J. Schulz , K. Binder , M. M"uller

As a canonical model for wetting far from thermal equilibrium we study a Kardar-Parisi-Zhang interface growing on top of a hard-core substrate. Depending on the average growth velocity the model exhibits a non-equilibrium wetting transition…

Statistical Mechanics · Physics 2007-05-23 Thomas Kissinger , Andreas Kotowicz , Oliver Kurz , Francesco Ginelli , Haye Hinrichsen

Recent work has highlighted roles for thermodynamic phase behavior in diverse cellular processes. Proteins and nucleic acids can phase separate into three-dimensional liquid droplets in the cytoplasm and nucleus and the plasma membrane of…

Biological Physics · Physics 2022-02-23 Mason Rouches , Sarah Veatch , Benjamin Machta

Within a general theoretical framework we study the effective, deformation-induced interaction between two colloidal particles trapped at a fluid interface in the regime of small deformations. In many studies, this interaction has been…

Soft Condensed Matter · Physics 2010-06-18 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

Interfacial fluctuation effects occuring at wedge and cone filling transitions are investigated and shown to exhibit very different characteristics. For both geometries we show how the conditions for observing critical (continuous) filling…

Soft Condensed Matter · Physics 2009-10-31 A. O. Parry , A. J. Wood , C. Rascon

We report two decentralized multi-agent cooperative localization algorithms in which, to reduce the communication cost, inter-agent state estimate correlations are not maintained but accounted for implicitly. In our first algorithm, to…

Robotics · Computer Science 2019-07-23 Jianan Zhu , Solmaz S. Kia

We investigated on the interface modes in a heterostructure consisting of a semi-infinite metallic layer and a semi-infinite Fibonacci quasi-periodic structure. Various properties of the interface modes, such as their spatial localizations,…

Optics · Physics 2015-05-19 Xiao-Ning Pang , Jian-Wen Dong , He-Zhou Wang