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In this paper we introduce the class of W_p scale mixture random vectors with a particular radial decomposition and a independent splitting property specified by some random variable W_p, and a positive constant p. We derive several…

Probability · Mathematics 2013-05-14 Enkelejd Hashorva

We find limit shapes for a family of multiplicative measures on the set of partitions, induced by exponential generating functions with expansive parameters, $a_k\sim Ck^{p-1}, k\to\infty, p>0$,where $C$ is a positive constant. The measures…

Probability · Mathematics 2007-06-19 Michael Erlihson , Boris Granovsky

A study of multiplicity distribution of singly charged, doubly charged, multi charged projectile fragments and shower particles have been carried out for the peripheral collisions in 16O-emulsion,22Ne-emulsion and 28Si-emulsion interactions…

Nuclear Experiment · Physics 2018-02-20 Swarnapratim Bhattacharyya , Maria Haiduc , Alina Tania Neagu , Elena Firu

The near-side distribution of particles at intermediate transverse momentum, associated with a high momentum trigger hadron produced in a high energy heavy-ion collision, is broadened in rapidity compared with the jet cone. This broadened…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Majumder , Berndt Muller , Steffen A. Bass

We analyze the fragmentation behavior of random clusters on the lattice under a process where bonds between neighboring sites are successively broken. Modeling such structures by configurations of a generalized Potts or random-cluster model…

Statistical Mechanics · Physics 2016-08-08 Eren Metin Elçi , Martin Weigel , Nikolaos G. Fytas

In the paper (Goloveshkin and Myagkov 2014) we proposed a two-dimensional energy-based model of fragmentation of rapidly expanding cylinder under plane strain conditions. The model allowed one to estimate the average fragment length and the…

Classical Physics · Physics 2018-03-28 V. A. Goloveshkin , N. N. Myagkov

We study the propagation of waves in a quasi 1D homogeneous host medium filled with various resonators. We first prove that a far field coupling between the elements explains its dispersive nature. This coupling is interpreted as a Fano…

Optics · Physics 2011-12-13 Fabrice Lemoult , Mathias Fink , Geoffroy Lerosey

Consider a system of independent random walks in the discrete torus with creation-annihilation of particles and possible explosion of the total number of particles in finite time. Rescaling space and rates for…

Probability · Mathematics 2015-06-05 Tertuliano Franco , Pablo Groisman

The fragmentation function of vector particle into possible bound S-wave states with a heavy antiquark is calculated in the leading order of perturbative QCD for the high energy processes at large transverse momenta with the different…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. V. Kiselev , A. E. Kovalsky

We introduce and analyse a class of fragmentation-coalescence processes defined on finite systems of particles organised into clusters. Coalescent events merge multiple clusters simultaneously to form a single larger cluster, while…

Probability · Mathematics 2017-01-31 Andreas E. Kyprianou , Steven W. Pagett , Tim Rogers

A simple model of cosmic ray electron acceleration at the jet boundary (Ostrowski 2000) yields a power-law particle energy distribution of ultrarelativistic electrons with an energy cut-off growing with time and finally, a growing particle…

Astrophysics · Physics 2009-11-07 L. Stawarz , M. Ostrowski

We consider the exchangeable fragmentation-coagulation (EFC) processes, where the coagulations are multiple and not simultaneous, as in a $\Lambda$-coalescent, and the fragmentations dislocate at finite rate an individual block into…

Probability · Mathematics 2020-12-18 Clément Foucart , Xiaowen Zhou

The single-particle inclusive fragmentation function and the particle multiplicity are observables of fundamental importance in studying properties of quantum chromodynamics at colliders. It is well-known that at high energies, the…

High Energy Physics - Phenomenology · Physics 2024-06-06 Zhong-Bo Kang , Robert Kao , Andrew J. Larkoski

We show that the size distributions of fragments created by high energy nuclear collisions are remarkably well reproduced within the framework of a parameter free percolation model. We discuss two possible scenarios to explain this…

Statistical Mechanics · Physics 2009-10-31 X. Campi , H. Krivine , E. Plagnol , N. Sator

The property of extended longitudinal scaling of rapidity distributions was noticed recently over a broad range of beam energies. It is shown here that this property is consistent with predictions of the statistical thermal model up to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Cleymans , J. Strümpfer , L. Turko

We study the fragmentation (far forward/backward) region of heavy ion collisions by considering an at-rest nucleus which is struck by a relativistic sheet of colored glass. By means of a simple classical model, we calculate the subsequent…

High Energy Physics - Phenomenology · Physics 2021-05-05 Isobel Kolbé , Mawande Lushozi , Larry D. McLerran , Gongming Yu

Given any regularly varying dislocation measure, we identify a natural self-similar fragmentation tree as scaling limit of discrete fragmentation trees with unit edge lengths. As an application, we obtain continuum random tree limits of…

Probability · Mathematics 2009-09-29 Bénédicte Haas , Grégory Miermont , Jim Pitman , Matthias Winkel

Broadening of the transverse momentum of a parton propagating through a medium is treated using the color dipole formalism, which has the advantage of being a well developed phenomenology in deep-inelastic scattering and soft processes.…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. B. Johnson , B. Z. Kopeliovich , A. V. Tarasov

Recent results in the theory of multiphoton spectra for coherent radiation sources are overviewed, with the emphasis on channeling radiation. For the latter case, the importance of the order of resummation and averaging is illustrated.…

Accelerator Physics · Physics 2015-12-09 M. V. Bondarenco

The kinematical characteristics of fragments and light particles observed in central highly fragmented nuclear collisions at intermediate energies are compared with the results of a model assuming that the initial momentum distribution of…

Nuclear Experiment · Physics 2007-05-23 A. Van Lauwe , D. Durand et al
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