Heat Conduction of Lennard-Jones Particle System in Supercritical Fluid Phase

Ogushi, Fumiko; Yukawa, Satoshi; Ito, Nobuyasu

doi:10.1143/jpsj.74.827

Cited by 18 publications

(20 citation statements)

References 17 publications

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“…[1][2][3] Of course, the size limitation is always an issue to consider in finite-system analysis. Decay with an exponent of À3=2 may appear in larger 3D nonlinear lattices, and thermal conductivity may converge.…”

Section: Discussionmentioning

confidence: 99%

“…Recent studies have succeeded in reproducing the Fourier law, [1][2][3][4] and other linear nonequilibrium transport phenomena. 5,6) However, there remains an unsolved problem.…”

Section: Introductionmentioning

confidence: 99%

“…In simple particle systems, distances on the order of ten times the mean-free path are sufficient to observe the characteristic size dependence of the conductivity. [1][2][3] In nonlinear lattices, 13) however, it has been found that anomalous divergence continues up to systems of at least 64 Â 64 Â 128 lattice sites. This size corresponds to mesoscopic systems.…”

Section: Introductionmentioning

confidence: 99%

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Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices

Shiba

Ito

2008

J. Phys. Soc. Jpn.

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Heat conduction in three-dimenisional nonlinear lattice models is studied using nonequilibrium molecular dynamics simulations. We employ the FPU model, in which there exists a nonlinearity in the interaction of biquadratic form. It is confirmed that the thermal conductivity, the ratio of the energy flux to the temperature gradient, diverges in systems up to 128x128x256 lattice sites. This size corresponds to nanoscopic to mesoscopic scales of several tens of nanometers. From these results, we conjecture that the energy transport in insulators with perfect crystalline order exhibits anomalous behavior. The effects of lattice structure, random impurities, and natural length in interactions are also examined. We find that face-centered cubic (fcc) lattices display stronger divergence than simple cubic lattices. When impurity sites of infinitely large mass, which are hence fixed, are randomly distributed, such divergence vanishes.Comment: 10pages, 10 figures, Fig. 1 is replaced and some minor corrections were mad

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Section: Discussionmentioning

confidence: 99%

“…Recent studies have succeeded in reproducing the Fourier law, [1][2][3][4] and other linear nonequilibrium transport phenomena. 5,6) However, there remains an unsolved problem.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices

Shiba

Ito

2008

J. Phys. Soc. Jpn.

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“…Although it is widely believed that Fourier's law is realized in many situations, recent numerical results suggest that the heat conductivity diverges in low-dimensional systems in the thermodynamic limit, 1) while it is convergent in three-dimensional (3D) systems. 2), 3) Narayan and Ramaswamy 4) have found that the heat conductivity is proportional to L 1/3 , with the system size L. They derived this result from hydrodynamic equations with thermal fluctuations in the 1D limit. This size dependence of the heat conductivity is also applicable to 1D chains.…”

Section: Anomalous Heat Conduction In Quasi-one-dimensional Gasesmentioning

confidence: 96%

Anomalous Heat Conduction in Quasi-One-Dimensional Gases

Nishino

2007

Progress of Theoretical Physics

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From three-dimensional linearized hydrodynamic equations, it is found that the heat conductivity is proportional to $(L_x/(L_y^2 L_z^2))^{1/3}$, where $L_x$, $L_y$ and $L_z$ are the lengths of the system along the $x$, $y$ and $z$ directions, and we consider the case in which $L_x \gg L_y, L_z$. The necessary condition for such a size dependence is derived as $\phi \equiv L_x/(n^{1/2} L_y^{5/4} L_z^{5/4}) \gg 1$, where $\phi$ is the critical condition parameter and $n$ is the number density. This size dependence of the heat conductivity has been confirmed by molecular dynamics simulation.Comment: 10 pages, 4 figure

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“…Ogushi et al studied the heat conduction of the three-dimensional Lennard -Jones particle system using molecular dynamics simulation [4]. They put two thermostats with different temperatures on the both ends of the system to achieve the spontaneous phase separation.…”

Section: Introductionmentioning

confidence: 99%

Ergodicity of the Nosé–Hoover method

Kobayashi

2007

Molecular Simulation

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Ergodicity of the systems with Nosé -Hoover thermostat are studied. The dynamics of the heatbath variables are investigated and they can be periodic when the system has quick oscillation. Their periodic behaviour causes the system to lose its ergodicity. The kinetic-moments method is also studied, and the heatbath variables in this method are found to be chaotic. The chaotic behaviour makes the whole system ergodic.

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Heat Conduction of Lennard-Jones Particle System in Supercritical Fluid Phase

Cited by 18 publications

References 17 publications

Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices

Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices

Anomalous Heat Conduction in Quasi-One-Dimensional Gases

Ergodicity of the Nosé–Hoover method

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