Anomalous heat conduction in a one-dimensional ideal gas
نویسندگان
چکیده
منابع مشابه
Anomalous Heat Conduction in a Quasi One-Dimensional Gases
Fourier’s law is the relation between the heat flux J and the temperature gradient as J = −λ∇T where λ and T are the heat conductivity and the temperature, respectively. Although it is widely believed that the 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, while it is conve...
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From three-dimensional linearized hydrodynamic equations, it is found that the heat conductivity is proportional to (Lx/(L 2 yL 2 z)) , where Lx, Ly and Lz are the lengths of the system along the x, y and z directions, and we consider the case in which Lx ≫ Ly, Lz. The necessary condition for such a size dependence is derived as φ ≡ Lx/(n L 5/4 y L 5/4 z ) ≫ 1, where φ is the critical condition...
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In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long-time correlation of the corresponding currents. The effective asymptotic behavior is addressed with reference to the problem of heat transport in one-dimensional crystals, modeled by chains of classical nonlinear oscillators. Extensive accurate equilibrium and nonequilibrium numerical simulation...
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We present large scale simulations for a one-dimensional chain of hard-point particles with alternating masses and correct several claims in recent literature based on much smaller simulations. We find heat conductivities kappa to diverge with the number N of particles. These depended strongly on the mass ratio, and extrapolations to N--> infinity, and t--> infinity, are difficult due to very l...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2003
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.67.015203