1 |
Ai, B. and Hu, B. (2011), "Heat conduction in deformable frenkel-kontorova lattices: Thermal conductivity and negative differential thermal resistance", Phys. Rev. E., 83(1), 011131.
DOI
|
2 |
Andersen, H.C. (1980), "Molecular dynamics simulations at constant pressure and/or temperature", J. Chem. Phys., 72(4), 2384-2393.
DOI
|
3 |
Barik, D. (2006), "Heat conduction in 2D harmonic lattices with on-site potential", Europhys. Lett., 75(1), 42-48.
DOI
|
4 |
Berendsen, H.J., Postma, J.V., Van Gunsteren, W.F., DiNola, A.R.H.J. and Haak, J.R. (1984), "Molecular dynamics with coupling to an external bath", J. Chem. Phys., 81(8), 3684-3690.
DOI
|
5 |
Born, M. and Huang, K. (1954), Dynamical Theory of Crystal Lattices, Clarendon, Oxford.
|
6 |
Bussi, G. and Parrinello, M. (2007), "Accurate sampling using Langevin dynamics", Phys. Rev. E., 75(5), 056707.
DOI
|
7 |
Dhar, A. (2008), "Heat transport in low-dimensional systems", Adv. Phys., 57(5), 457-537.
DOI
|
8 |
Dhar, A., Venkateshan, K. and Lebowitz, J.L. (2011), "Heat conduction in disordered harmonic lattices with energy-conserving noise", Phys. Rev. E., 83(2), 021108.
DOI
|
9 |
Giardina, C., Livi, R., Politi, A. and Vassalli, M. (2000), "Finite thermal conductivity in 1D lattices", Phys. Rev. L., 84(10), 2144-2147.
DOI
|
10 |
Hatano, T. (1999), "Heat conduction in the diatomic toda lattice revisited", Phys. Rev. E., 59(1), R1-R4.
|
11 |
Hoover, W.G. (1985), "Canonical dynamics: Equilibrium phase-space distributions", Phys. Rev. A., 31(3), 1695-1697.
DOI
|
12 |
Jackson, E.A. and Mistriotis, A.D. (1989), "Thermal conductivity of one-and two-dimensional lattices", J. Phys. Condens. Matt., 1(7), 1223-1238.
DOI
|
13 |
Karpov, E.G., Park, H.S. and Liu, W.K. (2007), "A phonon heat bath approach for the atomistic and multiscale simulation of solids", Int. J. Numer. Meth. Eng., 70(3), 351-378.
DOI
|
14 |
Lepri, S., Livi, R. and Politi, A. (2003), "Thermal conduction in classical low-dimensional lattices", Phys. Rep., 377(1), 1-80.
DOI
|
15 |
Lippi, A. and Livi, R. (2000), "Heat conduction in two-dimensional nonlinear lattices", J. Stat. Phys., 100(5), 1147-1172.
DOI
|
16 |
Nishiguchi, N., Kawada, Y. and Sakuma, T. (1992), "Thermal conductivity in two-dimensional monatomic non-linear lattices", J. Phys. Condens. Matt., 4(50), 10227-10236.
DOI
|
17 |
Nose, S. (1984), "A unified formulation of the constant temperature molecular dynamics methods", J. Chem. Phys., 81(1), 511-519.
DOI
|
18 |
Pang, G. and Tang, S. (2011), "Time history kernel functions for square lattice", Comput. Mech., 48(6), 699-711.
DOI
|
19 |
Savin, A.V. and Kosevich, Y.A. (2014), "Thermal conductivity of molecular chains with asymmetric potentials of pair interactions", Phys. Rev. E., 89(3), 032102.
|
20 |
Tang, S. (2008), "A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids", J. Comput. Phys., 227(8), 4038-4062.
DOI
|
21 |
Tang, S. (2010), "A two-way interfacial condition for lattice simulations", Adv. Appl. Math. Mech., 2, 45-55.
|
22 |
Tang, S. and Liu, B. (2015), "Heat jet approach for atomic simulations at finite temperature", Comm. Comput. Phys., 18(5), 1445-1460.
DOI
|
23 |
Tang, S., Zhang, L., Ying, Y.P. and Zhang, Y.J. "A finite difference approach for finite temperature multiscale computations", Preprint.
|
24 |
Yang, L. (2002), "Finite heat conduction in a 2D disorder lattice", Phys. Rev. Lett., 88(9), 094301.
DOI
|
25 |
Wang, X. and Tang, S. (2013), "Matching boundary conditions for lattice dynamics", Int. J. Numer. Meth. Eng., 93(12), 1255-1285.
DOI
|
26 |
Xiong, D., Wang, J., Zhang, Y. and Zhao, H. (2010), "Heat conduction in two-dimensional disk models", Phys. Rev. E., 82(3), 030101.
|
27 |
Xiong, D., Zhang, Y. and Zhao, H. (2014), "Temperature dependence of heat conduction in the fermi-pastaulam-beta lattice with next-nearest-neighbor coupling", Phys. Rev. E., 90(2), 022117.
|
28 |
Yang, L., Grassberger, P. and Hu, B. (2006), "Dimensional crossover of heat conduction in low dimensions", Phys. Rev. E., 74(6), 062101.
|
29 |
Zhong, Y., Zhang, Y., Wang, J. and Zhao, H. (2012), "Normal heat conduction in one-dimensional momentum conserving lattices with asymmetric interactions", Phys. Rev. E., 85(6), 060102.
|