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We study the concentration field in a prescribed 2D Cahn-Hilliard Navier-Stokes (CHNS) system. We formulate a description for the target pattern formation and pattern merging processes, and compare this description with simulation results.…

Fluid Dynamics · Physics 2025-03-05 Qinghao Yan , P. H. Diamond

There is considerable interest in collective effects in hybrid systems formed by molecular or atomic ensembles strongly coupled by an electromagnetic resonance. For analyzing such collective effects, we develop an efficient and general…

Atomic and Molecular Clusters · Physics 2017-05-23 Pierre Fauché , Spyridon G. Kosionis , Philippe Lalanne

Metasurfaces play a key role in functionalizing light at the nanoscale. Existing dielectric metasurfaces, however, are often limited to geometric primitives and their usage in emergent hybrid metasurfaces is hampered as confinement of light…

In the present paper we describe the properties induced by disorder on an ultracold gas of Bosonic atoms loaded into a two-dimensional optical lattice with global confinement ensured by a parabolic potential. Our analysis is centered on the…

Disordered Systems and Neural Networks · Physics 2009-11-13 P. Buonsante , Francesco Massel , Vittorio Penna , Alessandro Vezzani

The disorder induced feedback makes random lasers very susceptible to any changes in the scattering medium. The sensitivity of the lasing modes to perturbations in the disordered systems have been utilized to map the regions of…

A lattice boson model is used to study ordering phenomena in regular 2D array of superconductive mesoscopic granules, Josephson junctions or pores filled with a superfluid helium. Phase diagram of the system, when quantum fluctuations of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , S. A. Verzakov , Yu. E. Lozovik

We consider classical nonlinear oscillators on hexagonal lattices. When the coupling between the elements is repulsive, we observe coexisting states, each one with its own basin of attraction. These states differ by their degree of…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 F. Ionita , D. Labavic , M. A. Zaks , H. Meyer-Ortmanns

The vortex dynamics in a low temperature superconductor deposited on top of a rectangular array of micrometer size permalloy triangles is investigated experimentally. The rectangular unit cell is such that neighboring triangles physically…

Superconductivity · Physics 2009-11-13 J. Van de Vondel , A. V. Silhanek , V. Metlushko , P. Vavassori , B. Ilic , V. V. Moshchalkov

We propose different methods for alternative representation and visual augmentation of sheet music that help users gain an overview of general structure, repeating patterns, and the similarity of segments. To this end, we explored mapping…

Human-Computer Interaction · Computer Science 2023-08-14 Frank Heyen , Quynh Quang Ngo , Michael Sedlmair

Polarity fields are known to exhibit long distance patterns, in both physical and biological systems. The mechanisms behind such patterns are poorly understood. Here, we describe the dynamics of polarity fields using an original physical…

Biological Physics · Physics 2019-07-24 Maryam Aliee , Arezki Boudaoud

We study a disordered network of bistable bonds subjected to periodic strain. The model is inspired by experiments on crumpled sheets and it features behaviors associated with glasses, including a complex energy landscape, memories, and…

Soft Condensed Matter · Physics 2025-07-18 Sheng Huang , Daniel Hexner

Ensembles of particles rotating in a two-dimensional fluid can exhibit chaotic dynamics yet develop signatures of hidden order. Such "rotors" are found in the natural world spanning vastly disparate length scales - from the rotor proteins…

Soft Condensed Matter · Physics 2022-03-09 Naomi Oppenheimer , David B. Stein , Matan Yah Ben Zion , Michael J. Shelley

We study topological phase transitions in discrete gauge theories in two spatial dimensions induced by the formation of a Bose condensate. We analyse a general class of euclidean lattice actions for these theories which contain one coupling…

Mesoscale and Nanoscale Physics · Physics 2012-05-10 F. A. Bais , J. C. Romers

We present a model to describe the spatiotemporal evolution of guided modes in semiconductor nanowires based on a coupled mode formalism. Light-matter interaction is modelled based on semiconductor Bloch equations, including many-particle…

Optics · Physics 2017-04-05 Robert Buschlinger , Michael Lorke , Ulf Peschel

We present a procedure to map the constitutive laws of elasticity (both in the linear and nonlinear regime) onto a discrete atomic lattice and we apply the resulting elastic lattice model to investigate the strain field within an embedded…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Pier Luca Palla , Stefano Giordano , Luciano Colombo

Recent experiments show that periodic modulations of cold atoms in optical lattices may be used to engineer and explore interesting models. We show that double modulation, combining lattice shaking and modulated interactions allows for the…

Quantum Gases · Physics 2014-11-05 Sebastian Greschner , Luis Santos , Dario Poletti

Ordered item response models that are in common use can be divided into three groups, cumulative, sequential and adjacent categories model. The derivation and motivation of the models is typically based on the assumed presence of latent…

Methodology · Statistics 2019-06-11 Gerhard Tutz

We show that in small and low density systems described by a lattice gas model with fixed number of particles the location of a thermodynamic phase transition can be detected by means of the distribution of the fluctuations related to an…

Nuclear Theory · Physics 2009-11-07 J. M. Carmona , J. Richert , P. Wagner

In random systems consisting of grains with size distributions the transport properties are difficult to explore by network models. However, the concentration dependence of effective conductivity and its critical properties can be…

Statistical Mechanics · Physics 2007-05-23 Ryszard Piasecki

Circuits based on sum-product structure have become a ubiquitous representation to compactly encode knowledge, from Boolean functions to probability distributions. By imposing constraints on the structure of such circuits, certain inference…

Artificial Intelligence · Computer Science 2025-02-25 Benjie Wang , Denis Deratani Mauá , Guy Van den Broeck , YooJung Choi