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We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

Deterministically aperiodic sequences are an intermediary between periodic sequences and completely random sequences. Materials which are translationally periodic have Bloch-like extended states, while random media exhibit Anderson…

Quantum Physics · Physics 2017-07-12 C. V. Ambarish , N. Lo Gullo , Th. Busch , L. Dell'Anna , C. M. Chandrashekar

The effects of Umklapp scattering on electronic states are studied in one spatial dimension at absolute zero. The model is basically the Hubbard model, where parameters characterizing the normal ($U$) and Umklapp ($V$) scattering are…

Strongly Correlated Electrons · Physics 2009-10-30 Masakazu Murakami , Hidetoshi Fukuyama

When particles are magnetized, a diffusion process is influenced by the ambient magnetic field. While the entropy increases, the constancy of the magnetic moment puts a constraint. Here, we compare the E-cross-B diffusion caused by random…

Plasma Physics · Physics 2018-01-25 Naoki Sato , Zensho Yoshida

We consider light scattering by two dimensional arrays of high-index dielectric spheres arranged into the triangular lattice. It is demonstrated that in the case a triple degeneracy of resonant leaky modes in the Gamma-point the scattering…

Optics · Physics 2019-09-04 E. N. Bulgakov , D. N. Maksimov

Physics of structured waves is currently limited to relatively small particle energies as the available generation techniques are only applicable to the soft $X$-ray twisted photons, to the beams of electron microscopes, to cold neutrons,…

High Energy Physics - Phenomenology · Physics 2023-05-09 D. V. Karlovets , S. S. Baturin , G. Geloni , G. K. Sizykh , V. G. Serbo

We theoretically investigate the light scattering of the super- and subradiant states which can be prepared by the excitation of a single photon which carries an orbital angular momentum (OAM).\ With this helical phase imprinted on the…

Quantum Physics · Physics 2019-03-06 H. H. Jen , M. -S. Chang , Y. -C. Chen

We solve a physically significant extension of a classic problem in the theory of diffusion, namely the Ornstein-Uhlenbeck process [G. E. Ornstein and L. S. Uhlenbeck, Phys. Rev. 36, 823, (1930)]. Our generalised Ornstein-Uhlenbeck systems…

Statistical Mechanics · Physics 2009-11-11 V. Bezuglyy , B. Mehlig , M. Wilkinson , K. Nakamura , E. Arvedson

We present a method to simultaneously engineer the energy-momentum dispersion and the local density of optical states. Using vertical symmetry-breaking in high-contrast gratings, we enable the mixing of modes with different parities, thus…

We investigate the radiation from an inertial scalar particle evolving in a de Sitter expanding Universe. In the context of scalar QED the process is generated by the first order term in the perturbation theory expansion of the S-matrix.…

High Energy Physics - Theory · Physics 2015-03-26 Robert Blaga

New model equations are derived for dynamics of self-aggregation of finite-size particles. Differences from standard Debye-Huckel and Keller-Segel models are: a) the mobility $\mu$ of particles depends on the locally-averaged particle…

Pattern Formation and Solitons · Physics 2009-11-11 Darryl D. Holm , Vakhtang Putkaradze

In a general (2+1)-dimensional scalar model, we consider the scattering of a single quantum of radiation off a domain wall string, which excites or de-excites the wall's internal shape mode. We refer to these two process as Stokes and…

High Energy Physics - Theory · Physics 2024-12-19 Hengyuan Guo , Hui Liu , Jarah Evslin

A potential scattering theory from deterministic and random $\mathcal{PT}$ collections of particles with gain and loss is introduced and the forms of their structure and pair-structure factors are elucidated. An example relating to light…

Optics · Physics 2021-04-07 Olga Korotkova , Paulo A. Brandão

We consider a charged particle following the boundary of a two-dimensional domain because a homogeneous magnetic field is applied. We develop the basic scattering theory for the corresponding quantum mechanical edge states. The scattering…

Mathematical Physics · Physics 2009-11-11 C. Buchendorfer , G. M. Graf

We consider deflection of polarizable molecules by inhomogeneous optical fields, and analyze the role of molecular orientation and rotation in the scattering process. It is shown that molecular rotation induces spectacular rainbow-like…

Quantum Physics · Physics 2015-05-19 E. Gershnabel , I. Sh. Averbukh

We analyze a dilute suspension of active particles confined between walls and subjected to fields that can modulate particle speed as well as orientation. Generally, the particle distribution is different in the bulk compared to near the…

Soft Condensed Matter · Physics 2022-08-23 Vaseem A. Shaik , Zhiwei Peng , John F. Brady , Gwynn J. Elfring

The two--dimensional diffusive dynamics of test particles in a random electromagnetic field is studied. The synthetic electromagnetic fluctuations are generated through randomly placed magnetised ``clouds'' oscillating with a frequency…

Statistical Mechanics · Physics 2007-06-01 Silvia Perri , Fabio Lepreti , Vincenzo Carbone , Angelo Vulpiani

A family of orbiting resonances in molecular scattering is globally described by using a single pole moving in the complex angular momentum plane. The extrapolation of this pole at negative energies gives the location of the bound states.…

Atomic Physics · Physics 2009-11-07 Enrico De Micheli , Giovanni Alberto Viano

The concepts of topology provide a powerful tool to tailor the propagation and localization of light. While electromagnetic waves have only two polarization states, engineered degeneracies of photonic modes provide novel opportunities…

We use wave packet mode quantization to compute the creation of massless scalar quantum particles in a colliding plane wave spacetime. The background spacetime represents the collision of two gravitational shock waves followed by trailing…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Miquel Dorca , Enric Verdaguer