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For the water waves equations, the existence of splat singularities has been shown in [3], i.e., the interface self-intersects along an arc in finite time. The aim of this paper is to show the absence of splat singularities for the…

Analysis of PDEs · Mathematics 2015-02-24 Diego Córdoba , Tania Pernas-Castaño

We investigate the influence of couplings among continuum states in collisions of weakly bound nuclei. For this purpose, we compare cross sections for complete fusion, breakup and elastic scattering evaluated by continuum discretized…

Nuclear Theory · Physics 2013-05-29 L. F. Canto , J. Lubian , P. R. S. Gomes , M. S. Hussein

S matrix principles and symmetries impose constraints on three-particle scattering amplitudes, which can be formulated as a class of integral equations for their partial wave projections. However, these amplitudes are typically expressed in…

High Energy Physics - Phenomenology · Physics 2025-07-21 Andrew W. Jackura , Nicholas C. Chambers , Raúl A. Briceño

This paper studies singularity structures of the linear inviscid damping of two-dimensional Euler equations in a finite periodic channel. We introduce a recursive definition of singularity structures which characterize the singularities of…

Analysis of PDEs · Mathematics 2024-05-09 Wenjie Lu

From dispersion relation approach, a formalism that describes final state interaction among three particles in a coupled-channel system is presented in this work. Different representations of coupled-channel three-body formalism with only…

High Energy Physics - Phenomenology · Physics 2016-07-19 Peng Guo

This article provides a pedagogical exploration of coupled-channel scattering in hadronic physics, focusing on theoretical methodologies, and practical applications. It covers key concepts such as the $N/D$ method, Castillejo-Dalitz-Dyson…

High Energy Physics - Phenomenology · Physics 2025-01-20 José Antonio Oller

The $t$-channel singularity is a divergence in the scattering amplitude which occurs when a stable particle propagating in $t$-channel scattering process becomes an on-shell state. Such situations appear either in the system of collider…

High Energy Physics - Phenomenology · Physics 2025-11-24 Kento Asai , Nagisa Hiroshima , Joe Sato , Ryusei Sato , Masaki J. S. Yang

It is revealed that distribution functions of practical gases relate to singularities and such singularities can, with molecular motion, spread to the entire region of interest. It is also shown that even common continuous distribution…

Data Analysis, Statistics and Probability · Physics 2007-05-23 C. Y. Chen

Many real-world network are multilayer, with nontrivial correlations across layers. Here we show that these correlations amplify geometry in networks. We focus on mutual clustering--a measure of the amount of triangles that are present in…

Physics and Society · Physics 2026-02-24 Jasper van der Kolk , Dmitri Krioukov , Marián Boguñá , M. Ángeles Serrano

We summarise different results on the diffusion of a tracer particle in lattice gases of hard-core particles with stochastic dynamics, which are confined to narrow channels -- single-files, comb-like structures and quasi-one-dimensional…

Statistical Mechanics · Physics 2018-11-14 O. Benichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez

Topological singularities are ubiquitous in many areas of physics. Polarization singularities are locations at which an aspect of the polarization ellipse of light becomes undetermined or degenerate. At C points the orientation of the…

Optics · Physics 2018-10-24 L. De Angelis , F. Alpeggiani , L. Kuipers

We revisit the total scatterings (in terms of extinction, scattering and absorption cross sections) by arbitrary clusters of nonmagnetic particles that support optically-induced magnetic responses. Our reexamination is conducted from the…

Optics · Physics 2020-09-23 Qingdong Yang , Weijin Chen , Yuntian Chen , Wei Liu

We show that loop-induced processes involving new physics particles can readily satisfy Landau Equation and trigger triangular singularities at high energy colliders, leading to fully visible Standard Model final states. Four-particle…

High Energy Physics - Phenomenology · Physics 2022-11-24 Yu Gao , Yu Jia , Yugen Lin , Jia-Yue Zhang

The properties of a particle diffusing on a one-dimensional lattice where at each site a random barrier and a random trap act simultaneously on the particle are investigated by numerical and analytical techniques. The combined effect of…

Condensed Matter · Physics 2009-10-28 Achille Giacometti , K. P. N. Murthy

We experimentally investigate mutual information and generalized mutual information for coherent optical transmission systems. The impact of the assumed channel distribution on the achievable rate is investigated for distributions in up to…

Information Theory · Computer Science 2024-01-25 Tobias A. Eriksson , Tobias Fehenberger , Peter A. Andrekson , Magnus Karlsson , Norbert Hanik , Erik Agrell

The structure of the lowest states of a three-electron axially symmetric parabolic quantum dot in a zero magnetic field is investigated. It is shown that the electronic density of the triplet states possesses certain approximate symmetry…

Atomic Physics · Physics 2018-01-08 A. V. Meremianin

This study reports on the evolution of the probability distribution in the configuration space of the two-dimensional Toda system. The distribution is characterized by singularities, which predominantly take two forms: double-cusped…

Exactly Solvable and Integrable Systems · Physics 2025-03-18 Srdjan Petrovic , Nikola Starcevic , Nace Stojanov , Liang Huang

Basic properties of radiation of the atomic chains excited by a channeled particle are considered. Using a very simple two-dimensional model of a crystal lattice we have shown that the main part of this radiation is generated on the…

Accelerator Physics · Physics 2014-05-14 V. Epp , M. A. Sosedova

Diffusion-coagulation can be simply described by a dynamic where particles perform a random walk on a lattice and coalesce with probability unity when meeting on the same site. Such processes display non-equilibrium properties with strong…

Statistical Mechanics · Physics 2018-03-13 L. Turban , J. -Y. Fortin

Quantum non-Markovianity of channels can be produced by mixing Markovian channels, as observed recently by various authors. We consider an analogous question of whether singularities of the channel can be produced by mixing non-singular…

Quantum Physics · Physics 2021-04-21 Shrikant Utagi , Vinod N. Rao , R. Srikanth , Subhashish Banerjee
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