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We discuss quantum effects in the diffusion process which is used to describe the shape evolution from the touching configuration of fusing two nuclei to a compound nucleus. Applying the theory with quantum effects to the case where the…

Nuclear Theory · Physics 2009-11-11 Kouhei Washiyama , Bulent Yilmaz , Sakir Ayik , Noboru Takigawa

The competition among reaction processes of a weakly-bound projectile at intermediate times of a slow collision has been unraveled. This has been done using a two-center molecular continuum within a semiclassical, time-dependent…

Nuclear Theory · Physics 2021-07-14 Laura Moschini , Alexis Diaz-Torres

Nucleation and growth is the dominant relaxation mechanism driving first order phase transitions. In two-dimensional at systems nucleation has been applied to a wide range of problems in physics, chemistry and biology. Here we study…

Soft Condensed Matter · Physics 2016-03-09 Leopoldo R. Gomez , Nicolas A. Garcia , Vincenzo Vitelli , Jose Lorenzana , Daniel A. Vega

We investigate the long-time evolution of branching diffusion processes (starting with a single particle) in inhomogeneous media. The qualitative behavior of the processes depends on the intensity of the branching. We analyze the…

Probability · Mathematics 2012-07-03 Leonid Koralov , Stanislav Molchanov

The concept of grand angular momentum is widely used in the study of N-body problems quantum mechanically. Here, we applied it to a classical analysis of N-body problems. Utilizing the tree representation for Jacobi and hyperspherical…

Mathematical Physics · Physics 2025-06-12 Zhongqi Liang , Jesús Pérez-Ríos

We formulate the large deviations for a class of two scale chemical kinetic processes motivated from biological applications. The result is successfully applied to treat a genetic switching model with positive feedbacks. The corresponding…

Probability · Mathematics 2016-04-05 Tiejun Li , Feng Lin

The theoretical formalism of inclusive lepton-nucleus scattering in the two-nucleon emission channel is discussed in the context of a simplified approach, the modified convolution approximation. This allows one to write the 2p2h responses…

Nuclear Theory · Physics 2018-01-17 I. Ruiz Simo , J. E. Amaro , M. B. Barbaro , J. A. Caballero , G. D. Megias , T. W. Donnelly

We propose to use the branching ratio of channels of free-space hadron-nucleon interaction as a test in the construction and verification of the models of complicated processes in the nuclei. The particle self-energy and amplitudes of…

Nuclear Theory · Physics 2008-06-02 V. I. Nazaruk

Systems with long-range interactions when quenced into a metastable state near the pseudo-spinodal exhibit nucleation processes that are quite different from the classical nucleation seen near the coexistence curve. In systems with…

Materials Science · Physics 2009-11-07 W. Klein , T. Lookman , A. Saxena , D. Hatch

The general theory of the branching processes is used for establishing the relation between the parameters $k$ and $\bar n$ of the negative binomial distribution. This relation gives the possibility to describe the overall data on…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. G. Matinyan , E. B. Prokhorenko

We discuss the high energy photodisintegrataion of light nuclei in which the energy of the absorbed photon is equally shared between two nucleons in the target. For these reactions we investigate the model in which photon absorption by a…

Nuclear Theory · Physics 2017-08-23 Misak M. Sargsian

We suggest that superscaling in electroweak interactions with nuclei, namely the observation that the reduced electron-nucleus cross sections are to a large degree independent of the momentum transfer and of the nuclear species, can be used…

Nuclear Theory · Physics 2010-01-22 M. B. Barbaro , J. E. Amaro , J. A. Caballero , R. Cenni , T. W. Donnelly , A. Molinari , J. M. Udias

The description of quantum many-body dynamics is extremely challenging on classical computers, as it can involve many degrees of freedom. On the other hand, the time evolution of quantum states is a natural application for quantum computers…

Quantum Physics · Physics 2025-08-20 Ronen Weiss , Alessandro Baroni , Joseph Carlson , Ionel Stetcu

We present a theoretical formalism for scattering of the twisted neutrons by nuclei in a kinematic regime where interference between Coulomb interaction and the strong interaction is essential. Twisted neutrons have definite quantized…

Nuclear Theory · Physics 2021-05-26 A. V. Afanasev , D. V. Karlovets , V. G. Serbo

We study how the two-point density correlation properties of a point particle distribution are modified when each particle is divided, by a stochastic process, into an equal number of identical "daughter" particles. We consider generically…

Statistical Mechanics · Physics 2009-11-13 Andrea Gabrielli , Michael Joyce

Phase transitions ruled by nucleation and growth can occur by nonrandom arrangement of nuclei. This is verified, for instance, in thin film growth at solid surfaces by vapor condensation or by electrodeposition where, around each nucleus, a…

Statistical Mechanics · Physics 2025-06-11 M. Tomellini

We give an account of matter and (basically) a solution of a new class of problems synthesizing percolation theory and branching diffusion processes. They led us to realizing a novel type of stochastic processes, namely branching processes…

Condensed Matter · Physics 2011-12-08 A. Mezhlumian , S. A. Molchanov

This is a study of front dynamics in reaction diffusion systems near Nonequilibrium Ising-Bloch bifurcations. We find that the relation between front velocity and perturbative factors, such as external fields and curvature, is typically…

patt-sol · Physics 2009-10-28 Christian Elphick , Aric Hagberg , Ehud Meron

The two-body momentum distribution n2(p1,p2) of nuclei is studied. First, a compact analytical expression is derived for Z=N l-closed nuclei, within the context of the independent-particle shell model. Application to the light closed-shell…

Nuclear Theory · Physics 2007-05-23 P. Papakonstantinou , E. Mavrommatis , T. S. Kosmas

We study the asymptotic behavior of branching diffusion processes in periodic media. For a super-critical branching process, we distinguish two types of behavior for the normalized number of particles in a bounded domain, depending on the…

Probability · Mathematics 2020-03-05 Pratima Hebbar , Leonid Koralov , James Nolen
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