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We analyze the formation of localized surface modes on a nonlinear cubic waveguide array in the presence of exponentially-decreasing long-range interactions. We find that the long-range coupling induces a strong asymmetry between the…

Pattern Formation and Solitons · Physics 2015-05-19 Alejandro J. Martınez , Rodrigo A. Vicencio , Mario I. Molina

The main objective of this article is to study the order-disorder phase transition and pattern formation for systems with long-range repulsive interactions. The main focus is on the Cahn-Hilliard model with a nonlocal term in the…

Statistical Mechanics · Physics 2011-06-21 Honghu Liu , Taylan Sengul , Shouhong Wang , Pingwen Zhang

Strong coupling between light and molecular matter is currently attracting interest both in chemistry and physics, in the fast-growing field of molecular polaritonics. The large near-field enhancement of the electric field of plasmonic…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Álvaro Buendía , Jose A. Sánchez-Gil , Vincenzo Giannini , William L. Barnes , Marie S. Rider

The elastic interaction, induced by the lattice distortion due to the difference of the molecular size, causes an effective long-range interaction. In spin-crossover (SC) compounds, local bistable states, i.e., high-spin and low-spin states…

Statistical Mechanics · Physics 2015-07-31 Masamichi Nishino , Seiji Miyashita

We explore the effective long-range interaction of charged particles confined to a curved low-dimensional manifold using the example of a helical geometry. Opposite to the Coulomb interaction in free space the confined particles experience…

Atomic Physics · Physics 2015-05-28 Peter Schmelcher

We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role they play in the configuration of jammed packings, we…

Soft Condensed Matter · Physics 2021-07-15 Paolo Rissone , Eric I. Corwin , Giorgio Parisi

The formation of correlated structures is of importance in many diverse contexts such as strongly coupled plasmas, soft matter, and even biological mediums. In all these contexts the dynamics are mainly governed by electrostatic…

Plasma Physics · Physics 2023-06-07 Mamta Yadav , Priya Deshwal , Srimanta Maity , Amita Das

The symmetry and topology of the coincidence structure, i.e. the locus of points in configuration space corresponding to particles in the same position, plays a critical role in extracting universal properties for few-body models with…

Quantum Physics · Physics 2018-07-04 N. L. Harshman , Adam Knapp

Different contact regimes between a spherical lens and a periodically patterned substrate are observed, when they are pressed against each other. Top contact occurs when only the highest substrate sections touch the lens, whereas mixed…

Soft Condensed Matter · Physics 2021-11-29 Rene Ledesma-Alonso , Elie Raphael , Frederic Restagno , Christophe Poulard

We study two dimensional stripe forming systems with competing repulsive interactions decaying as $r^{-\alpha}$. We derive an effective Hamiltonian with a short range part and a generalized dipolar interaction which depends on the exponent…

Statistical Mechanics · Physics 2015-03-19 Alejandro Mendoza-Coto , Daniel A. Stariolo , Lucas Nicolao

Visual long-range interaction refers to modeling dependencies between distant feature points or blocks within an image, which can significantly enhance the model's robustness. Both CNN and Transformer can establish long-range interactions…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Xiuxiu Bai , Shuaishuai Zhao , Yao Gao , Zhe Liu

While the hexagonal lattice is ubiquitous in two dimensions, the body centered cubic lattice and the face centered lattice are both commonly observed in three dimensions. A geometric variational problem motivated by the diblock copolymer…

Analysis of PDEs · Mathematics 2022-08-02 Xiaofeng Ren , Juncheng Wei

We study the bipartite entanglement of strongly correlated systems using exact diagonalization techniques. In particular, we examine how the entanglement changes in the presence of long-range interactions by studying the Pariser-Parr-Pople…

Quantum Physics · Physics 2012-03-06 Shaon Sahoo , V. M. L. Durga Prasad Goli , S. Ramasesha , Diptiman Sen

We study the single-particle density of states of one-dimensional and two-dimensional quantum disordered systems with long-range interactions. We consider a $1/\sqrt{r}$ interaction in one dimension and a Coulomb interaction in two…

Disordered Systems and Neural Networks · Physics 2015-03-20 M. Pino , A. M. Somoza , M. Ortuño

Most periodic systems are governed by short-range interactions as long-range interactions in these systems diminish uniformly. In this letter, however, we demonstrate that this is not true for a more general class of systems, which possess…

Strongly Correlated Electrons · Physics 2026-01-12 Junmo Jeon , SungBin Lee

The configuration interaction approach to nuclear structure uses the effective Hamiltonian in a finite orbital space. The various parts of this Hamiltonian and their interplay are responsible for specific features of physics including the…

Nuclear Theory · Physics 2017-02-27 S. Karampagia , Vladimir Zelevinsky

Using numerical simulations, we study how a solution of small active disks, acting as depletants, induces effective interactions on large passive colloids. Specifically, we analyze how the range, strength, and sign of these interactions are…

Soft Condensed Matter · Physics 2014-11-20 J. Harder , S. A. Mallory , C. Tung , C. Valeriani , A. Cacciuto

Interaction of particles of many systems can be effectively approximated by multiscale interaction potentials. Such potentials are widely used for investigation of colloidal systems and colloid-polymer mixtures, complex liquids (for…

Soft Condensed Matter · Physics 2019-02-13 Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok

We analyze the contact and force networks in a dense confined packing of pentagonal particles simulated by means of the contact dynamics method. The particle shape effect is evidenced by comparing the data from pentagon packing and from a…

Classical Physics · Physics 2007-09-17 émilien Azema , Farhang Radjaï , Robert Peyroux , Gilles Saussine

It is well-known that in two dimensions Turing systems produce spots, stripes and labyrinthine patterns, and in three dimensions lamellar and spherical structures or their combinations are observed. We study transitions between these states…

Statistical Mechanics · Physics 2007-05-23 Teemu Leppanen , Mikko Karttunen , R. A. Barrio , Kimmo Kaski