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Particles moving inside a fluid near, and interacting with, invariant manifolds is a common phenomenon in a wide variety of applications. One elementary question is whether we can determine once a particle has entered a neighbourhood of an…

Dynamical Systems · Mathematics 2018-12-24 Christian Kuehn , Francesco Romano , Hendrik C. Kuhlmann

After a short review of the history and problems of relativistic Hamiltonian mechanics with action-at-a-distance inter-particle potentials, we study isolated two-body systems in the rest-frame instant form of dynamics. We give explicit…

High Energy Physics - Theory · Physics 2008-11-26 David Alba , Horace W. Crater , Luca Lusanna

A computational procedure is developed for determining the conversion probability for reaction-diffusion systems in which a first-order catalytic reaction is performed over active particles. We apply this general method to systems on metric…

Soft Condensed Matter · Physics 2020-03-19 Renato Feres , Matthew Wallace , Ari Stern , Gregory Yablonsky

The spontaneous (so-called Quincke) rotation of an uncharged, solid, dielectric, spherical particle under a steady electric field is analyzed, accounting for the inertia of the particle and the transient fluid inertia, or ``hydrodynamic…

Fluid Dynamics · Physics 2025-09-15 Jason K. Kabarowski , Aditya S. Khair , Rahil N. Valani

The formulation of a universal theory for bulk viscosity and heat conduction represents a theoretical challenge for our understanding of relativistic fluid dynamics. Recently, it has been shown that the multifluid variational approach…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

We recast the problem of infinite neutral nonrelativistic matter interacting via U(1) gauge fields in the hydrodynamic language. We treat the nuclei as being spinless bosons for simplicity(for example in He4). We write down the formal…

Statistical Mechanics · Physics 2016-08-31 Girish S. Setlur

We study the dynamics of a system made up of particles of two different species undergoing irreversible quadratic autocatalytic reactions: $A + B \to 2A$. We especially focus on the reaction velocity and on the average time at which the…

Statistical Mechanics · Physics 2008-12-01 E. Agliari , R. Burioni , D. Cassi , F. M. Neri

The framework of anisotropic hydrodynamics is generalized to include finite particle masses. Two schemes are introduced and their predictions compared with exact solutions of the kinetic equation in the relaxation time approximation. The…

High Energy Physics - Phenomenology · Physics 2014-05-22 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

We define and calculate the mass multipole moments of a material body of mass $M$ and electric charge $Q$ tidally deformed by a particle of mass $m \ll M$ and charge $q \ll Q$ placed at a distance $r_0$ from the body. Given $Q/M$ and $r_0$,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Victoria Leaker , Tristan Pitre , Eric Poisson

The beam-plasma instability, i.e. the response of the plasma bulk to the injection of supra thermal charged-particle beams, results to be appropriately characterized by a long-range interaction system. This physical system hosts a number of…

We suggest a novel way to use strong Rydberg dipole-dipole interactions in order to induce non-trivial conditional dynamics in individual-atom systems and mesoscopic ensembles. Contrary to previous works, we suggest to excite atoms into…

Quantum Physics · Physics 2009-11-13 E. Brion , A. S. Mouritzen , K. Molmer

We propose a form for the action of a relativistic particle subject to a positional force that is invariant under time reparametrization and therefore allows for a consistent Hamiltonian formulation of the dynamics. This approach can be…

Classical Physics · Physics 2012-10-10 S. Mignemi

Relativistically covariant equation of motion for real dust particle under the action of electromagnetic radiation is derived. The particle is neutral in charge. Equation of motion is expressed in terms of particle's optical properties,…

Astrophysics · Physics 2007-05-23 Jozef Klacka

We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation. We formulate a generic hydrodynamic theory for this combination of fractonic constraints and numerically verify its…

Quantum Gases · Physics 2022-05-31 A. G. Burchards , J. Feldmeier , A. Schuckert , M. Knap

A hybrid mesoscopic multi-particle collision model is used to study diffusion-influenced reaction kinetics. The mesoscopic particle dynamics conserves mass, momentum and energy so that hydrodynamic effects are fully taken into account.…

Chemical Physics · Physics 2007-05-23 Kay Tucci , Raymond Kapral

A relativistic version of the rational extended thermodynamics of polyatomic gases based on a new hierarchy of moments that takes into account the total energy composed by the rest energy and the energy of the molecular internal mode is…

Statistical Mechanics · Physics 2022-01-12 Takashi Arima , Maria Cristina Carrisi , Sebastiano Pennisi , Tommaso Ruggeri

In classical electrodynamics for rotating with variable angular velocity charged rigid sphere are found: the exact values of electromagnetic fields, the flux of radiating energy and the exact integral equation of rotation including the…

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

For the rigid, nonrotating motion of an extended charge in an arbitrary electromagnetic field, an equation of motion is derived by Lorentz-invariantly calculating the 4-Lorentz force = external 4-force + 4-self-force, acting upon the…

Mathematical Physics · Physics 2007-05-23 Helmut Stoeckel

We consider the integrable family of symmetric boundary-driven interacting particle systems that arise from the non-compact XXX Heisenberg model in one dimension with open boundaries. In contrast to the well-known symmetric exclusion…

Mathematical Physics · Physics 2024-05-27 Rouven Frassek , Cristian Giardinà

We study a system of interacting particles that randomly react to form new particles. The reaction flux is the rescaled number of reactions that take place in a time interval. We prove a dynamic large-deviation principle for the reaction…

Probability · Mathematics 2019-10-02 Robert Patterson , Michiel Renger
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