Relevant bibliographies by topics / Lennard-Jones type Particles

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Academic literature on the topic 'Lennard-Jones type Particles'

Author: Grafiati
Published: 7 September 2023

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Journal articles on the topic "Lennard-Jones type Particles"

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RETKUTE, RENATA, and JAMES P. GLEESON. "ROLE OF INTERACTION ON NOISE-INDUCED TRANSPORT OF TWO COUPLED PARTICLES IN BROWNIAN RATCHET DEVICES." Fluctuation and Noise Letters 06, no. 03 (2006): L263—L277. http://dx.doi.org/10.1142/s0219477506003409.

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The motion of elastically coupled Brownian particles in ratchet-like potentials has attracted much recent interest due to its application to transport processes in many fields, including models of DNA polymers. We consider the influence of the type of interacting force on the transport of two particles in a one-dimensional flashing ratchet. Our aim is to examine whether the common assumption of elastic coupling captures the important features of ratchet transport when the inter-particle forces are more complex. We compare Lennard-Jones type interaction to the classical case of elastically coup
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GRIDNEV, K. A., S. YU TORILOV, D. K. GRIDNEV, V. G. KARTAVENKO, and W. GREINER. "MODEL OF BINDING ALPHA-PARTICLES AND APPLICATIONS TO SUPERHEAVY ELEMENTS." International Journal of Modern Physics E 14, no. 04 (2005): 635–43. http://dx.doi.org/10.1142/s0218301305003387.

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A model of nuclear matter built from alpha-particles is proposed. In this model, nuclei possess the molecular-like structure. Analyzing the numbers of bonds, one gets the formula for the binding energy of a nucleus. The structure is determined by the minimum of the total potential energy, where interaction between alpha-particles is pairwise and the pair-potential is of Lennard–Jones type. The calculated binding energies show a good agreement with experiment. Calculations predict the stability island for superheavy nuclei around Z=120.
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TEWARI, S. P., GRIMA DHINGRA, and POONAM SILOTIA. "COLLECTIVE DYNAMICS OF A NANO-FLUID: FULLERENE, C60." International Journal of Modern Physics B 24, no. 22 (2010): 4281–92. http://dx.doi.org/10.1142/s0217979210055974.

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Collective dynamics of a strongly correlated nano-fluid of fullerenes, C 60 having number density 0.945 particles/nm3 at 1850 K has been predicted using the sphericalized inter-fullerene interaction and the self-consistent microscopic theory of fluids. The dynamical structure factors have been computed to yield much different dispersion relation of the collective excitations from that of the Lennard–Jones type fluid. The wave-vector dependent longitudinal viscosity of the nano-fluid has also been reported.
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Camrud, Evan, David P. Herzog, Gabriel Stoltz, and Maria Gordina. "Weighted L 2-contractivity of Langevin dynamics with singular potentials." Nonlinearity 35, no. 2 (2021): 998–1035. http://dx.doi.org/10.1088/1361-6544/ac4152.

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Abstract Convergence to equilibrium of underdamped Langevin dynamics is studied under general assumptions on the potential U allowing for singularities. By modifying the direct approach to convergence in L 2 pioneered by Hérau and developed by Dolbeault et al, we show that the dynamics converges exponentially fast to equilibrium in the topologies L 2(dμ) and L 2(W* dμ), where μ denotes the invariant probability measure and W* is a suitable Lyapunov weight. In both norms, we make precise how the exponential convergence rate depends on the friction parameter γ in Langevin dynamics, by providing
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Steinhauser, Martin O., and Erkai Watson. "Discrete Particle Methods for Simulating Quasi-Static Load and Hypervelocity Impact Phenomena." International Journal of Computational Methods 16, no. 05 (2019): 1740009. http://dx.doi.org/10.1142/s0219876217400096.

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In this paper, we introduce a mesh-free computational model for the simulation of high-speed impact phenomena. Within the framework of particle dynamics simulations we model a macroscopic solid ceramic tile as a network of overlapping discrete particles of microscopic size. Using potentials of the Lennard–Jones type, we integrate the classical Newtonian equations of motion and perform uni-axial, quasi-static load simulations to customize our three model parameters to the typical tensile strength, Young’s modulus and the compressive strength of a ceramic. Subsequently we perform shock load simu
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Golabczak, Marcin, Andrzej Konstantynowicz, and Andrzej Golabczak. "Use of Cellular Automata for Modelling of the Carbon Nanolayer Growth on a Light Alloy Substrate." Journal of Nano Research 26 (December 2013): 159–67. http://dx.doi.org/10.4028/www.scientific.net/jnanor.26.159.

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Carbon deposition forming a nanolayer on a light alloy substrate is a physico-chemical process of the discrete type in all of its aspects. Thus, use of cellular automata, intrinsic discrete, as a mathematical tool for modelling, is fully justified. We adopted two-dimensional (i.e. surface), two-layer automation with Moore vicinity of a cell, for modelling of the carbon deposition process, starting from bonding to the light alloy substrate, leading through layer growth and finishing at the phase transition process, converting graphite into diamond form. To achieve this, we related the transitio
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Prozorova, Evelina. "Some Consequences of Mathematical Inaccuracies in Mechanics." WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS 17 (September 16, 2022): 124–31. http://dx.doi.org/10.37394/232011.2022.17.17.

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The article is devoted to the study of some violations of the known laws of mathematics and classical mechanics in continuum mechanics and kinetics. The most common is open non-stationary systems. From the equations formulated earlier and some experiments, a connection traced between the gradients of physical quantities and the angular momentum (force). The use of Hamilton's formalism and the dependence of force only on the distance between particles limits the study. In the collision integral, for example, for a rarefied gas, the Lennard-Jones potential, which not related to the type under co
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8

Thiel, Robert, and Jens Jäkel. "Simulation of a passive position control for ferromagnetic particles with multiple Halbach rings." Current Directions in Biomedical Engineering 8, no. 2 (2022): 773–76. http://dx.doi.org/10.1515/cdbme-2022-1197.

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Abstract Various types of magnetic nanoparticles have been developed for a range of medical applications and some have the potential to treat diseases. In this paper, a new method for controlling the position of these magnetic particles by changing the magnetic field surrounding them using three Halbach ringsis investigated with the aid of a simulation. The inner ring controls the direction, and the position of the two outer rings can keep the group of particles together. In the simulation, the magnetic field is calculated analytically for each time step and the movement of the particles is si
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OKABE, TSUNEYASU, and HIROAKI YAMADA. "DYNAMICAL INSTABILITY OF ONE-DIMENSIONAL MORSE SYSTEM." Modern Physics Letters B 13, no. 09n10 (1999): 303–15. http://dx.doi.org/10.1142/s0217984999000403.

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Dynamical instability in an one-dimensional many-body system with Morse-type interaction potential is studied by computer simulation. The dynamical instability of the Morse system is caused by two kinds of instability. One is the parametric instability caused by the stochastic fluctuation of positive curvature of a Riemannian manifold and the other is the local instability approximated by the local negative eigenvalues of the Hessian matrix for the potential function. We investigate the energy dependence of the maximal Lyapunov exponent in order to emphasize the characteristic dynamical instab
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Mizerski, Krzysztof A. "The detrimental effect of hydrodynamic interactions on the process of Brownian flocculation in shear flow." Journal of Fluid Mechanics 748 (April 29, 2014): 328–49. http://dx.doi.org/10.1017/jfm.2014.190.

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AbstractThe problem of Brownian flocculation of spherical particles in strong shearing flow without hydrodynamic interactions is studied in detail using the singular perturbation method. All other types of interparticle interactions, such as van der Waals or Lennard-Jones forces, are also ignored. In the limit of strong external flow, the strength of which is measured by the Péclet number ($Pe\gg 1$), a complicated boundary layer structure for the pair probability density function ($P_{2}$) is identified and the complete stationary spatial distribution of $P_{2}(\boldsymbol {x})$ in the domain
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Conference papers on the topic "Lennard-Jones type Particles"

1

Streator, Jeffrey L. "Micro-Scale Simulation of Adhesive Effects During Normal Impact." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-3914.

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Abstract A numerical simulation is developed to investigate the role of adhesive forces during the normal impact of a rigid body against an elastic surface. The model consists of a rigid, 2D translating body and a surface that is composed of a flexible linear array of particles, coupled to a fixed base via linear springs. Adhesive effects are incorporated in the model by ascribing a Lennard-Jones type interaction potential between the surface and the body. Dynamical equations of motion for the interface are integrated numerically during an impact event. It is found that the coefficient of rest
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