Dissipative solitons and crowdions in triangular lattice of active particles

2019 ◽  
Vol 04 (01) ◽  
pp. 1850005
Author(s):  
A. P. Chetverikov ◽  
S. V. Dmitriev ◽  
E. A. Korznikova ◽  
K. S. Sergeev
Keyword(s):  
Numerical Simulations ◽  
Triangular Lattice ◽  
Morse Potential ◽  
Initial Conditions ◽  
Local Interaction ◽  
Interacting Particles ◽  
Active Particles ◽  
Dissipative Solitons ◽  
Non Linear ◽  
Linear Friction

Behavior of dissipative solitons and crowdions in the triangular lattice of interacting particles is studied by means of numerical simulations. Active properties of particles are determined by non-linear friction which slows down the rapid particles and accelerates slower ones. Local interaction between particles is determined by the modified Morse potential with established cut-off radius. It is shown that the excitation of crowdions in active lattice is possible for some definite values of parameters. Borderlines between crowdions and solitons excitation in a space of parameters and initial conditions are determined.

Dissipative Solitons and Metastable States in a Chain of Active Particles

2018 ◽  
Vol 28 (08) ◽  
pp. 1830027 ◽  
Author(s):  
Alexandr P. Chetverikov ◽  
Konstantin S. Sergeev ◽  
Ezequiel del Rio
Keyword(s):  
Morse Potential ◽  
Initial Conditions ◽  
Periodic Boundary Conditions ◽  
Nonuniform Distribution ◽  
Metastable States ◽  
Active Particles ◽  
Dissipative Solitons ◽  
Random Initial Conditions ◽  
A Chain ◽  
Excitation Probability

The dynamics of a chain of interacting active particles of Rayleigh-type is studied. Particles are interconnected via Morse potential forces. The steady-state modes (attractors) of the chain with periodic boundary conditions look like cnoidal waves with a uniform distribution of the particles’ density maxima along the chain. However, if the system starts from random initial conditions, a metastable state with nonuniform distribution of density maxima is formed. Characteristics of metastable states, excitation probability of different modes and their lifetimes are studied by numerical simulation.

On the modeling of epidemics under the influence of risk perception

2017 ◽  
Vol 28 (04) ◽  
pp. 1750051 ◽  
Author(s):  
S. De Lillo ◽  
G. Fioriti ◽  
M. L. Prioriello
Keyword(s):  
Risk Perception ◽  
Kinetic Theory ◽  
Numerical Simulations ◽  
Stochastic Games ◽  
Initial Conditions ◽  
Nonlinear Interactions ◽  
Epidemic Spreading ◽  
Spreading Model ◽  
Active Particles

An epidemic spreading model is presented in the framework of the kinetic theory of active particles. The model is characterized by the influence of risk perception which can reduce the diffusion of infection. The evolution of the system is modeled through nonlinear interactions, whose output is described by stochastic games. The results of numerical simulations are discussed for different initial conditions.

scholarly journals The Impact of Initial Conditions in N-Body Simulations of Debris Discs

2015 ◽  
Vol 32 ◽  
Author(s):  
E. Thilliez ◽  
S. T. Maddison
Keyword(s):  
Numerical Simulations ◽  
Initial Conditions ◽  
Parent Body ◽  
Dust Trapping ◽  
Physical Context ◽  
Disc Width ◽  
Wide Range ◽  
Belt Width ◽  
New Generation ◽  
The Impact

AbstractNumerical simulations are a crucial tool to understand the relationship between debris discs and planetary companions. As debris disc observations are now reaching unprecedented levels of precision over a wide range of wavelengths, an appropriate level of accuracy and consistency is required in numerical simulations to confidently interpret this new generation of observations. However, simulations throughout the literature have been conducted with various initial conditions often with little or no justification. In this paper, we aim to study the dependence on the initial conditions of N-body simulations modelling the interaction between a massive and eccentric planet on an exterior debris disc. To achieve this, we first classify three broad approaches used in the literature and provide some physical context for when each category should be used. We then run a series of N-body simulations, that include radiation forces acting on small grains, with varying initial conditions across the three categories. We test the influence of the initial parent body belt width, eccentricity, and alignment with the planet on the resulting debris disc structure and compare the final peak emission location, disc width and offset of synthetic disc images produced with a radiative transfer code. We also track the evolution of the forced eccentricity of the dust grains induced by the planet, as well as resonance dust trapping. We find that an initially broad parent body belt always results in a broader debris disc than an initially narrow parent body belt. While simulations with a parent body belt with low initial eccentricity (e ~ 0) and high initial eccentricity (0 < e < 0.3) resulted in similar broad discs, we find that purely secular forced initial conditions, where the initial disc eccentricity is set to the forced value and the disc is aligned with the planet, always result in a narrower disc. We conclude that broad debris discs can be modelled by using either a dynamically cold or dynamically warm parent belt, while in contrast eccentric narrow debris rings are reproduced using a secularly forced parent body belt.

Microstructure and Mechanical Properties at the Unsteady Areas of Non-Linear Friction Stir Welding

2007 ◽  
Vol 561-565 ◽  
pp. 1059-1062 ◽  
Author(s):  
H. Takahara ◽  
Masato Tsujikawa ◽  
Sung Wook Chung ◽  
Y. Okawa ◽  
Kenji Higashi
Keyword(s):  
Mechanical Properties ◽  
Friction Stir Welding ◽  
Welding Parameter ◽  
Butt Joints ◽  
Friction Stir ◽  
Non Linear ◽  
Linear Friction ◽  
Fsw Parameters ◽  
Five Axis ◽  
Welding Direction

The influence of tool control in non-linear friction stir welding (FSW) on mechanical properties of joints was investigated. FSW is widely applied to linear joints. It is impossible for five axis FSW machines, however, to keep all the FSW parameters in optimum conditions at non-linear welding. Non-linear FSW joints should be made by compromise with the order of priority for FSW parameters. The tensile test results of butt joints with rectangular change in welding direction on plate plane (L-shaped butt joints) with various welding parameter change. It was found that turn to the retreating side is encouraged when welding direction change. And the method of zero inclination tool angle is effective at non-linear and plane welding.

A non-linear friction work formulation for the analysis of self-excited vibrations

2019 ◽  
Vol 443 ◽  
pp. 328-340 ◽  
Author(s):  
Z. Zhang ◽  
S. Oberst ◽  
J.C.S. Lai
Keyword(s):  
Non Linear ◽  
Linear Friction

Numerical Simulations as a Reliable Alternative for Landmine Explosion Studies: The AUTODYN Approach

2010 ◽  
Author(s):  
Stephanie Follett ◽  
Amer Hameed ◽  
S. Darina ◽  
John G. Hetherington
Keyword(s):  
Experimental Data ◽  
Numerical Simulations ◽  
Reasonable Agreement ◽  
Specific Impulse ◽  
Numerical Procedure ◽  
Ground Surface ◽  
Time Of Arrival ◽  
Linear Dynamics ◽  
Non Linear

In order to validate the numerical procedure, the explosion of a mine was recreated within the non-linear dynamics software, AUTODYN. Two models were created and analysed for the purposes of this study — buried and flush HE charge in sand. The explosion parameters — time of arrival, maximum overpressure and specific impulse were recorded at two stand-off distances above the ground surface. These parameters are then compared with LS-DYNA models and published experimental data. The results, presented in table format, are in reasonable agreement.

scholarly journals Entanglement and geometric phase of the coherent field interacting with a three two-level atoms in the presence of non-linear terms

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 237-245
Author(s):  
Eman Hilal ◽  
Sadah Alkhateeb ◽  
Sayed Abel-Khalek ◽  
Eied Khalil ◽  
Amjaad Almowalled
Keyword(s):  
Coherent State ◽  
Geometric Phase ◽  
Initial Conditions ◽  
Von Neumann Entropy ◽  
Field Mode ◽  
Von Neumann ◽  
Coherent Field ◽  
Non Linear ◽  
Atomic States ◽  
The Impact

We study the interaction of a three two-level atoms with a one-mode optical coherent field in coherent state in the presence of non-linear Kerr medim. The three atoms are initially prepared in upper and entangled states while the field mode is in a coherent state. The constants of motion, three two-level atoms and field density matrix are obtained. The analytic results are employed to perform some investigations of the temporal evolution of the von Neumann entropy as measure of the degree of entanglement between the three two-level atoms and optical coherent field. The effect of the detuning and the initial atomic states on the evolution of geometric phase and entanglement is analyzed. Also, we demonstrate the link between the geometric phase and non-classical properties during the evolution time. Additionally the effect of detuning and initial conditions on the Mandel parameter is studied. The obtained results are emphasize the impact of the detuning and the initial atomic states of the feature of the entanglement, geometric phase and photon statistics of the optical coherent field.

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