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In this work, we study a particular system of coagulation equations characterized by two values, namely volume $v$ and surface area $a$. Compared to the standard one-dimensional models, this model incorporates additional information about…

Analysis of PDEs · Mathematics 2024-03-12 Iulia Cristian , Juan J. L. Velázquez

Two major recent developments in theory and computational resources created the favorable conditions for achieving a microscopic description of nuclear fission almost eighty years after its discovery in 1939 by Hahn and Strassmann (1930).…

Nuclear Theory · Physics 2017-12-11 A. Bulgac , S. Jin , P. Magierski , K. Roche , N. Schunck , I. Stetcu

The sub-barrier fusion hindrance has been observed in the domain of very low energies of astrophysical relevance. This phenomenon can be analyzed effectively using an uncomplicated straightforward elegant mathematical formula gleaned…

Nuclear Theory · Physics 2023-04-10 Vinay Singh , Joydev Lahiri , Partha Roy Chowdhury , D. N. Basu

Multifragmentation is the dominant decay mode of heavy nuclear systems with excitation energies near their binding energies and is characterized by a multiple production of nuclear fragments with intermediate mass. At relativistic…

Nuclear Experiment · Physics 2007-05-23 W. Trautmann

Couplings between relative motion and internal structures are known to affect fusion barriers by dynamically modifying the densities of the colliding nuclei. The effect is expected to be stronger at energies near the barrier top, where…

Nuclear Theory · Physics 2014-03-13 A. S. Umar , C. Simenel , V. E. Oberacker

We present results for calculating fusion cross-sections using a new microscopic approach based on a time-dependent density-constrained DFT calculations. The theory is implemented by using densities and other information obtained from TDDFT…

Nuclear Theory · Physics 2014-03-25 R. Keser , A. S. Umar , V. E. Oberacker , J. A. Maruhn , P. -G. Reinhard

A Fourier inversion problem lies at the heart of determining spatio-temporal characteristica of the final stage of a heavy ion collision: From the measured two-particle momentum correlations C(p_1,p_2) of identical particles, pions say, a…

Nuclear Theory · Physics 2007-05-23 Urs Achim Wiedemann

Deformation, a key concept in our understanding of heavy nuclei, is based on a mean-field description that breaks the rotational invariance of the nuclear many-body Hamiltonian. We present a method to analyze nuclear deformations at finite…

Nuclear Theory · Physics 2015-01-07 Y. Alhassid , C. N. Gilbreth , G. F. Bertsch

Fractional Brownian motion and the fractional Langevin equation are models of anomalous diffusion processes characterized by long-range power-law correlations in time. We employ large-scale computer simulations to study these models in two…

Statistical Mechanics · Physics 2021-04-22 Thomas Vojta , Alex Warhover

Systematic calculations of fission barriers allowing for triaxial deformation are performed for even-even superheavy nuclei with charge number $Z=112-120$ using three classes of covariant density functional models. The softness of nuclei in…

Nuclear Theory · Physics 2015-06-05 H. Abusara , A. V. Afanasjev , P. Ring

We present a comparison of our model treating fission dynamics in conjunction with light-particle (n, p, alpha) evaporation with the available experimental data for the nuclei 126Ba, 188Pt and three isotopes of the element Z=110. The…

Background: Nuclear fission is a complex large-amplitude collective decay mode in heavy nuclei. Microscopic density functional studies of fission have previously concentrated on adiabatic approaches based on constrained static calculations…

Nuclear Theory · Physics 2015-11-18 P. M. Goddard , P. D. Stevenson , A. Rios

We develop a novel approach to fusion reactions for syntheses of superheavy elements, which combines the time-dependent Hartree-Fock (TDHF) method with a dynamical diffusion model based on the Langevin equation. In this approach, the…

Nuclear Theory · Physics 2019-05-29 K. Sekizawa , K. Hagino

We study the dynamics of Brownian particles in a heterogeneous one-dimensional medium with a spatially-dependent diffusion coefficient of the form $D(x)\sim |x|^c$, at constant temperature. The particle's probability distribution function…

Statistical Mechanics · Physics 2016-08-03 Shaked Regev , Niels Grønbech-Jensen , Oded Farago

A novel combination of discontinuous molecular dynamics and the Langevin equation, together with an intermediate-resolution model, are used to carry out long (several $\mu$s) simulation and study folding transition and transport of proteins…

Soft Condensed Matter · Physics 2011-11-09 Leili Javidpour , Muhammad Sahimi , M. Reza Rahimi Tabar

We employ a statistical approach to investigate the influence of axial asymmetry on the nuclear level density and entropy along the fission pathways of a superheavy nucleus, explicitly focusing on the $^{296}$Lv isotope. These pathways are…

Nuclear Theory · Physics 2024-01-12 A. Rahmatinejad , T. M. Shneidman , G. G. Adamian , N. V. Antonenko , P. Jachimowicz , M. Kowal

We investigate the application of deformation quantization to the system of a free particle evolving within a universe described by a Friedmann-Lemaitre-Robertson-Walker (FLRW) geometry. This approach allows us to analyze the dynamics of…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Alfonso F. Bobadilla , Jose A. R. Cembranos

We examine the manifestation of transient effects in fission by analysing experimental data where fission is induced by peripheral heavy-ion collisions at relativistic energies. Available total nuclear fission cross sections of 238U at 1 A…

Nuclear Experiment · Physics 2009-11-10 B. Jurado , C. Schmitt , K. -H. Schmidt , J. Benlliure , A. R. Junghans

This work is focused on the analysis of the corrective effects of the temperature, surface tension, and nuclear matter density on the fusion barriers and also fusion cross sections caused by the original version of the proximity formalism…

Nuclear Theory · Physics 2020-10-09 Reza Gharaei , Elham Sarvari

Using the time-dependent superfluid local density approximation, the dynamics of fission is investigated in real time from just beyond the saddle to fully separated fragments. Simulations produced in this fully microscopic framework can…

Nuclear Theory · Physics 2019-10-01 I. Stetcu , A. Bulgac , S. Jin , K. J. Roche , N. Schunck