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Related papers: Multiparticle Reactions with Spatial Anisotropy

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We consider the trapping reaction A + B -> B in space dimension d<=2. By formally eliminating the B particles from the problem we derive an effective dynamics for the A particles from which the survival probability of a given A particle and…

Statistical Mechanics · Physics 2009-11-07 Alan J. Bray , Satya N. Majumdar , Richard A. Blythe

Exact results on particle-densities as well as correlators in two models of immobile particles, containing either a single species or else two distinct species, are derived. The models evolve following a descent dynamics through…

Statistical Mechanics · Physics 2012-11-12 Christophe Chatelain , Malte Henkel , Mário J. De Oliveira , Tânia Tomé

We consider a multidimensional monostable reaction-diffusion equation whose nonlinearity involves periodic heterogeneity. This serves as a model of invasion for a population facing spatial heterogeneities. As a rescaling parameter tends to…

Analysis of PDEs · Mathematics 2015-03-16 Matthieu Alfaro , Thomas Giletti

The azimuthal anisotropy of high-pt particle production in non-central heavy ion collisions is among the most promising observables of partonic energy loss in an azimuthally non-symmetric volume of quark-gluon plasma. We discuss the…

High Energy Physics - Phenomenology · Physics 2016-09-06 I. P. Lokhtin , A. M. Snigirev , I. Vitev

We investigate the interplay between spatial anisotropy and further exchange interactions in the spin-$\frac{1}{2}$ Heisenberg antiferromagnetic model on a triangular lattice. We use the Schwinger boson theory by including Gaussian…

Strongly Correlated Electrons · Physics 2020-12-14 M. G. Gonzalez , E. A. Ghioldi , C. J. Gazza , L. O. Manuel , A. E. Trumper

We analyze the azimuthal anisotropy of jet spectra due to energy loss of hard partons in quark-gluon plasma, created initially in nuclear overlap zone in collisions with non-zero impact parameter. The calculations are performed for…

High Energy Physics - Phenomenology · Physics 2016-09-06 I. P. Lokhtin , S. V. Petrushanko , L. I. Sarycheva , A. M. Snigirev

Among systems that display generic scale invariance, those whose asymptotic properties are anisotropic in space (strong anisotropy, SA) have received a relatively smaller attention, specially in the context of kinetic roughening for…

Statistical Mechanics · Physics 2015-06-11 Edoardo Vivo , Matteo Nicoli , Rodolfo Cuerno

While there are many well-known and extensively tested results involving diffusion-limited binary reactions, reactions involving subdiffusive reactant species are far less understood. Subdiffusive motion is characterized by a mean square…

Statistical Mechanics · Physics 2009-11-11 J. J. Ruiz-Lorenzo , S. B. Yuste , Katja Lindenberg

Azimuthal anisotropy is a key observation made in ultrarelativistic heavy-ion collisions. This phenomenon has played a crucial role in the development of the field over the last two decades. In addition to its interest for studying the…

Nuclear Experiment · Physics 2023-10-20 Jean-Yves Ollitrault

We initiate a study of anisotropic plasma at strong coupling using the AdS/CFT correspondence. We construct an exact dual geometry which represents a static uniform but anisotropic system and find, that although it is singular, it allows…

High Energy Physics - Theory · Physics 2008-11-26 Romuald A. Janik , Przemyslaw Witaszczyk

There is increasing interest in discrete or "pixelated" spacetime models as a foundation for a satisfactory theory of quantum gravity. If spacetime possesses a cellular structure, there should be observable consequences: for example, the…

High Energy Physics - Theory · Physics 2023-08-29 Paul C. W. Davies , Philip Tee

Using stochastic conformal mappings we study the effects of anisotropic perturbations on diffusion limited aggregation (DLA) in two dimensions. The harmonic measure of the growth probability for DLA can be conformally mapped onto a constant…

Statistical Mechanics · Physics 2009-11-10 M. N. Popescu , H. G. E. Hentschel , F. Family

For reaction-diffusion processes without exclusion, in which the particles can exist in the same site of a one-dimensional lattice, we study all the integrable models which can be obtained by imposing a boundary condition on the master…

Statistical Mechanics · Physics 2009-11-11 M. Alimohammadi

We are pointing out relevant anisotropic effects, related to spatial separation, miscibility and mass-symmetry, due to dipole-dipole interactions in rotating binary dipolar Bose-Einstein condensates, by considering symmetric…

Quantum Gases · Physics 2019-04-10 Ramavarmaraja Kishor Kumar , Lauro Tomio , Arnaldo Gammal

We consider a reaction-diffusion process with retardation. The particles, immersed in traps initially, remain inactive until another particle is annihilated spontaneously with a rate $\lambda$ at a certain point $\vec x$. In that case the…

Statistical Mechanics · Physics 2015-06-25 Michael Schulz , Steffen Trimper , Knud Zabrocki

A two-dimensional fracture model where the interaction among elements is modeled by an anisotropic stress-transfer function is presented. The influence of anisotropy on the macroscopic properties of the samples is clarified, by…

Statistical Mechanics · Physics 2008-02-22 R. C. Hidalgo , S. Zapperi , H. J. Herrmann

The quantum Brownian motion of a single neutral particle with nonzero electric dipole moment placed in a photon gas at fixed temperature and close to a conducting wall is here examined. The interaction of the particle with the photon field…

Quantum Physics · Physics 2023-06-23 G. H. S. Camargo , V. A. De Lorenci , A. L. Ferreira Junior , C. C. H. Ribeiro

We point out that the intrinsic relationship between space and momentum in quantum physics through the uncertainty principle has potential implications for momentum anisotropy in heavy-ion collisions. Using a harmonic oscillator potential…

Nuclear Theory · Physics 2019-06-04 Denes Molnar , Chris. H. Greene , Fuqiang Wang

We study reaction-diffusion processes with concentration-dependent diffusivity. First, we determine the decay of the concentration in the single-species and two-species diffusion-controlled annihilation processes. We then consider two…

Statistical Mechanics · Physics 2013-05-30 P. L. Krapivsky

Employing the Polyakov chiral SU(3) mean field (PCQMF) model, we investigate how momentum-space anisotropy, characteristic of quark-gluon plasma (QGP) in ultrarelativistic heavy-ion collisions (uRHIC), impacts the thermodynamic behavior and…

High Energy Physics - Phenomenology · Physics 2025-09-26 Dhananjay Singh , Arvind Kumar