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This article presents numerical methods in order to solve problems of tolerance analysis. A geometric specification, a contact specification and a functional requirement can be respectively characterized by a finite set of geometric…

Computational Geometry · Computer Science 2011-07-04 Denis Teissandier , Vincent Delos , Yves Couétard

Purpose: We aim to investigate the role of a few neutron transfer channels on the dynamics of fusion reactions around the Coulomb barrier by judicially selecting 11 different $^{28,30}$Si-induced systems. These reactions are chosen in such…

Nuclear Theory · Physics 2024-09-06 Rinku Prajapat

Density functional theory calculations use a significant fraction of current supercomputing time. The resources required scale with the problem size, internal workings of the code and the number of iterations to convergence, the latter…

Computational Physics · Physics 2025-09-22 Laurence Marks

A simple fit of existing data for center-of-mass energies above the b-threshold shows that the average charged particle multiplicities in pp_bar and pp interactions can be parameterized by a simple power law N_ch = N_0*(s/s_0)^(gamma) with…

High Energy Physics - Experiment · Physics 2012-06-06 M. Zavertyaev

The correlation function of a one-dimensional interface over a random substrate, bound to the substrate by a pressure term, is studied by Monte-Carlo simulation. It is found that the height correlation < h_i ; h_{i+j} >, averaged over the…

Mathematical Physics · Physics 2015-06-26 Joël De Coninck , François Dunlop , Thierry Huillet

Based on Weizs\"acker-Skyrme (WS4) mass model, the fission barriers of nuclei are systematically studied. Considering the shell corrections, the macroscopic deformation energy and a phenomenological residual correction, the fission barrier…

Nuclear Theory · Physics 2024-07-22 Ning Wang , Liu Min

We analyze the $\gamma\gamma\to \pi\pi, KK, \eta\eta, \pi\eta$ reactions through $\sqrt{s}=2$ GeV, using the master formula approach to QCD with three flavors. In this approach, the constraints of broken chiral symmetry, unitarity and…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. -H. Lee , H. Yamagishi , I. Zahed

The fusion dynamics for a positive Q-value systems: $^{27}$Al+$^{45}$Sc, at near and deep sub-barrier energies has been investigated using the proximity potentials of Skyrme energy density formalism in semi classical extended Thomas Fermi…

Nuclear Theory · Physics 2016-06-29 Dalip Singh Verma , Atul Choudhary

We calculate the first correction beyond proximity force approximation for a cylindrical graphene sheet in interaction with a flat graphene sheet or a dielectric half space.

Quantum Physics · Physics 2008-11-26 M. Bordag

Complete fusion excitations for 11,10B+159Tb have been measured at energies around the respective Coulomb barriers, and the existing complete fusion measurements for 7Li+159Tb have been extended to higher energies. The measurements show…

The stationary phase method is applied to diffusion by a potential barrier for an incoming wave packet with energies greater then the barrier height. It is observed that a direct application leads to paradoxical results. The correct…

Quantum Physics · Physics 2007-05-23 A. E. Bernardini , S. De Leo , P. Rotelli

We present a calculation of the pion form factor using overlap fermions on 2+1-flavor domain-wall configurations on a $24^3\times 64$ lattice with $a=0.11 \, {\rm{fm}}$ and on a $32^3 \times 64$ lattice with $a=0.143 \, {\rm{fm}}$ generated…

High Energy Physics - Lattice · Physics 2018-10-31 Gen Wang , Jian Liang , Terrence Draper , Keh-Fei Liu , Yi-Bo Yang

The macroscopic behavior of many materials is complex and the end result of mechanisms that operate across a broad range of disparate scales. An imperfect knowledge of material behavior across scales is a source of epistemic uncertainty of…

Computational Physics · Physics 2021-06-30 Burigede Liu , Xingsheng Sun , Kaushik Bhattacharya , Michael Ortiz

We investigate a potential obtained as the convolution of a radially symmetric function and the characteristic function of a body (the closure of a bonded open set) with exterior cones. In order to restrict the location of a maximizer of…

Differential Geometry · Mathematics 2016-03-10 Shigehiro Sakata

We propose a systematic method of analyzing pseudopotential transferability based on linear-response properties of the free atom, including self-consistent chemical hardness and polarizability. Our calculation of hardness extends the…

mtrl-th · Physics 2009-10-28 A. Filippetti , David Vanderbilt , W. Zhong , Yong Cai , G. B. Bachelet

In order to study the performance of interatomic potentials and their reliability at higher pressures, the phase diagram of four different embedded-atom type potential models of iron is compared. The calculations were done by the nested…

Materials Science · Physics 2018-03-23 Livia B. Partay

External biasing forces are often applied to enhance sampling in regions of phase space which would otherwise be rarely observed. While the typical goal of these experiments is to calculate the potential of mean force (PMF) along the…

Statistical Mechanics · Physics 2010-10-27 David D. L. Minh

The fusion probability for the production of superheavy nuclei in cold fusion reactions was investigated and compared with recent experimental results for $^{48}$Ca, $^{50}$Ti, and $^{54}$Cr incident on a $^{208}$Pb target. Calculations…

Nuclear Theory · Physics 2022-05-25 T. Cap , M. Kowal , K. Siwek-Wilczyńska

Background: Several Time-Dependent Hartree-Fock-Bogoliubov (TDHFB) calculations predict that the super- fluidity enhances the fluctuations of the fusion barrier. This effect is not fully understood and not yet revealed experimentally.…

Nuclear Theory · Physics 2018-04-25 Guillaume Scamps

Density functional theory (DFT) underpins modern atomistic simulations of transition-metal surfaces. It can predict key properties linked to catalytic performance, such as adsorption energies and barrier heights, enabling new paradigms in…

Materials Science · Physics 2026-03-23 Benjamin X. Shi , Timothy C. Berkelbach
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