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Related papers: High energy density in multi-soliton collisions

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We present a few estimates of energy densities reached in heavy-ion collisions at the CERN SPS. The estimates are based on data and models of proton-nucleus and nucleus-nucleus interactions. In all of these estimates the maximum energy…

Nuclear Theory · Physics 2009-01-07 Jan Pisut , Neva Pisutova , Boris Tomasik

Inspired by the well known sine-Gordon equation, we present a symmetric coupled system of two real scalar fields in $1+1$ dimensions. There are three different topological soliton solutions which be labelled according to their topological…

Pattern Formation and Solitons · Physics 2019-06-19 Mohammad Mohammadi , Nematollah Riazi

The nuclear symmetry energy at densities above saturation density ($\rho_0\sim 0.16 fm^{-3}$) is poorly constrained theoretically and very few relevant experimental data exist. Its study is possible through Heavy Ion Collisions (HIC) at…

Nuclear Theory · Physics 2014-11-20 V. Greco , M. Colonna , M. Di Toro , H. H. Wolter

Two particle collisions close to the horizon of the rotating nonextremal black hole are analyzed. It is shown that high energy of the order of the Grand Unification scale in the centre of mass of colliding particles can be obtained when…

General Relativity and Quantum Cosmology · Physics 2012-03-23 A. A. Grib , Yu. V. Pavlov , O. F. Piattella

The (2+1)-dimension Klein-Gordon generalised equation is numerically solved through the finite differences method. Only the sine-Gordon case is focused: kink and antikink solutions are obtained in cartesian coordinates and evidence of…

Pattern Formation and Solitons · Physics 2007-05-23 M. V. Pato , P. Bicudo

The transition from integrable to non-integrable highly-dispersive nonlinear models is investigated. The sine-Gordon and $\phi^4$-equations with the additional fourth-order spatial and spatio-temporal derivatives, describing the higher…

Pattern Formation and Solitons · Physics 2008-04-24 Oksana V. Charkina , Mikhail M. Bogdan

Within the framework of the quantum molecular dynamics transport model, the pion production and constraint of the high-density symmetry energy in heavy-ion collisions near threshold energy have been thoroughly investigated. The energy…

Nuclear Theory · Physics 2024-06-10 Heng-Jin Liu , Ban Zhang , Yuan-Qing Guo , Hui-Gan Cheng , Si-Na Wei , Zhao-Qing Feng

A spatially-discrete sine-Gordon system with some novel features is described. There is a topological or Bogomol'nyi lower bound on the energy of a kink, and an explicit static kink which saturates this bound. There is no Peierls potential…

patt-sol · Physics 2009-10-31 J. M. Speight , R. S. Ward

We studied nucleus-nucleus collision in strong magnetic field based on a transport model. It is found that neutrons and protons can be separated from a nucleus by strong magnetic field and neutron-rich high density nuclear matter and low…

Nuclear Theory · Physics 2011-06-29 Gao-Chan Yong

Contrary to the decades-old understanding, SGn, the Sine-Gordon equation in (1+n) dimensions, has N-soliton solutions for any N >= 1, not only for n = 1, but also for n = 2 and 3. While SG1 solitons are confined to a line, SG2- and…

Exactly Solvable and Integrable Systems · Physics 2014-05-05 Yair Zarmi

We studied the kink-antikink collision process for the "double sine-Gordon" (DSG) equation in 1+1 dimensions at different values of the potential parameter $R>0$. For small values of $R$ we discuss the problem of resonance frequencies. We…

Condensed Matter · Physics 2015-07-28 V. A. Gani , A. E. Kudryavtsev

The nuclear symmetry energy, especially at suprasaturation densities, plays crucial roles in many astrophysical studies. However, nowadays the high-density behavior of the symmetry energy is still very controversial in nuclear community. To…

Nuclear Theory · Physics 2018-10-31 Gao-Chan Yong

In this work, we study kink collisions in a scalar field model with scalar-kinetic coupling. This model supports kink/antikink solutions with inner structure in the energy density. The collision of two such kinks is simulated by using the…

High Energy Physics - Theory · Physics 2020-03-02 Yuan Zhong , Xiao-Long Du , Zhou-Chao Jiang , Yu-Xiao Liu , Yong-Qiang Wang

In this paper, extended Klein-Gordon field systems will be introduced. Theoretically, it will be shown that for a special example of these systems, it is possible to have a single zero rest mass soliton solution, which is forced to move at…

Classical Physics · Physics 2019-10-28 Mohammad. Mohammadi , Rohollah. Gheisari

High energy heavy-ion collisions are proposed as a novel means to constrain stringently the high density (HD) behaviour of nuclear symmetry energy. Within an isospin-dependent hadronic transport model, it is shown for the first time that…

Nuclear Theory · Physics 2011-05-05 Bao-An Li

We performed a series of 769 full numerical simulations of high energy collision of black holes to search for the maximum gravitational energy emitted $E_{rad}$, during their merger. We consider equal mass binaries with spins pointing along…

General Relativity and Quantum Cosmology · Physics 2025-04-29 James Healy , Alessandro Ciarfella , Carlos O. Lousto

This paper considers the energy required for collections of finite density bodies to undergo escape under internal gravitational interactions alone. As the level of the system energy is increased there are different combinations of…

Earth and Planetary Astrophysics · Physics 2019-12-20 Daniel J. Scheeres

We study the long-time behaviour of solutions to a one-dimensional linear Klein-Gordon equation with Kelvin-Voigt damping. One of the interesting features of the equation is that the generator of the associated $C_0$-semigroup has multiple…

Analysis of PDEs · Mathematics 2026-05-25 Filippo Dell'Oro , Lassi Paunonen , David Seifert

We study the mechanism of directed energy transport for soliton ratchets. The energy flow appears due to the progressive motion of a soliton (kink) which is an energy carrier. However, the energy current formed by internal system…

Other Condensed Matter · Physics 2009-11-11 S. Denisov , S. Flach , A. Gorbach

An equation for the quasi-static soliton ansatz depending on an arbitrary set of collective variables is covariantly derived on the basis of the variational approach to the method of collective variables. The field configuration and the…

Mathematical Physics · Physics 2008-11-26 V. D. Tsukanov