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一维原子链的热导模拟 被引量：2

Simulation of Heat Conduction in One-dimensional Chains
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摘要 提出新的碰撞模型,通过模拟几种只含两种质量粒子的一维链的能量传递,研究质量分布对热导的影响.得出的T-N图显示质量比在1到3之间时,链上的温度分布存在部分梯度,当质量比大于3时,链上粒子的温度分布不存在梯度,整体处于单一温度值T附近,而且平均温度仅与链上粒子的质量分布有关. A new collision model was put forward, the influence of mass distribution on the heat conduction was studied through simulating the energy, transportation in some one-dimensional chains which only have two different masses. The calculated T - N profiles show that it has gradient characteristic in the temperature distribution when the mass ratio is between 1 and 3. However, for larger mass ratio, the gradient in several chains no longer exist, and the whole chain is near a stable average temperature. Moreover, it is found that the average temperature is only relative to mass distribution.
作者 蒋城欢 刘红
机构地区 南京师范大学物理科学与技术学院
出处 《南京师大学报（自然科学版）》 CAS CSCD 北大核心 2006年第3期36-39,共4页 Journal of Nanjing Normal University(Natural Science Edition)
基金 江苏省教育厅自然科学基金资助项目(04KJB140065)
关键词 一维链 双原子链 Fibonacci链 Period-doubling链 Thue-Morse链 one-dimensional chain, double-atom chain, Fibonacci chain, Period-doubling chain, ThueMorse chain
分类号 O551 [理学—热学与物质分子运动论]
  • 相关文献

参考文献8

  • 1Hu Bambi, Li Baowen, Zhao Hong. Heat conduction in one - dimensional chains[J]. Phys Rev E, 1998,57 (3) :2992 -2995.
  • 2Chen Ding, Aubry S, Tsironis G P. Breather mbility in discrete Φ^4 nonlinear lattices [J].Phys Rev Lett, 1996,77 (23) :4776 - 4779.
  • 3Alonso D, Artuso R, Casati G , et al. Heat conductivity and dynamical instability[J].Phys Rev Lett, 1999,82 (9) :1859-1862.
  • 4Stefano Lepri, Roberto Livi, Antonio Politi. Heat conduction in chains of nonlinear oscillators [ J ]. Phys Rev Lett, 1997,78(10) :1896 - 1899.
  • 5Giardina C, Livi R, Politi A, et al. Finite thermal conductivity in 1D lattices[J]. Phys Rev Lett,2000,84(10) :2144 -2147.
  • 6Takahiro Hatano. Heat conduction in the diatomic Toda lattice revisited[J]. Phys Rev E, 1999,59 ( 1 ) :R1 - R4.
  • 7Abhishek Dhar. Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses[J].Phvs Rev Lett,2001,86(16) :3554 - 3557.
  • 8Gendelman O V, Savin A V. Normal heat conductivity of the one-dimensional lattice with periodic potential of nearest-neighbor interaction[J]. Phys Rev Lett,2000,84( 11 ) :2381 - 2384.

同被引文献20

  • 1Bambi Hu, Baowen Li, Hong Zhao. Heat conduction in one-dimensional chains[J]. Phys Rev Lett, 1998, 57(3) : 2 992- 2 995.
  • 2Ding Chen, Aubry S, Tsironis G P. Breather mobility in discrete f4 nonlinear lattices[J]. Phys Rev Lett, 1996, 77(23) : 4 7764-779.
  • 3Alonso D, Artuso R, Casatic G, et al. Heat conductivity and dynamical instability[ J]. Phys Rev Lett, 1999,82(9) : 1 859- 1 862.
  • 4Lepri S, Livi R, Politi A. Heat conduction in chains of nonlinear oscillators[J]. Phys Rev Lett, 1997, 78(10) : 1 896- 1 899.
  • 5Giardin6 C, Livi R, Politi A, et al. Finite thermal conductivity in 1D lattices[J]. Phys Rev Lett, 2000, 84(10) : 2 144- 2 147.
  • 6Takahiro Hatano. Heat conduction in the diatomic Toda lattice revisited[ J]..Phys Rev E, 1999, 59( 1 ) : R1-R4.
  • 7Casati G. Energy transport and the fourier heat law in classical systems[J]. Found Phys, 1986, 16( 1 ) : 51-61.
  • 8Hatano T. Heat conduction in the diatomic Toda lattice revisited[J]. Phys Rev E, 1999,59( 1 ) : R1-R4.
  • 9Du Y, Li H, Kadanoff L P. Breakdown of hydrodynamics in a one-dimensional system of inelastic particles [ J ]. Phys Rev Lett,1995, 74(8) : 1 268-1 271.
  • 10Abhishek Dhar. Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses[ J]. Phys Rev Lett, 2001, 86(16): 3554-3557.

引证文献2

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南京师大学报（自然科学版）
2006年 第3期

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