We study the thermal conduction behaviors of one-dimensional lattice models with asymmetric harmonic interparticle interactions. Normal thermal conductivity that is independent of system size is observed when the latt...We study the thermal conduction behaviors of one-dimensional lattice models with asymmetric harmonic interparticle interactions. Normal thermal conductivity that is independent of system size is observed when the lattice chains are long enough. Because only the harmonic interactions are involved, the result confirms, without ambiguity, that asymmetry plays a key role in normal thermal conduction in one-dimensional momentum conserving lattices. Both equilibrium and nonequilibrium simulations are performed to support the conclusion.展开更多
We study a classical 1-dimenslonal kicked billiard model and investigate its transport behavior. The roles played by the two system parameters a and K, governing the direction and strength of the kick, respectively, a...We study a classical 1-dimenslonal kicked billiard model and investigate its transport behavior. The roles played by the two system parameters a and K, governing the direction and strength of the kick, respectively, are found to be quite crucial. For the perturbations which are not strong, i.e. K<1, we find that as the phase parameter α changes within its range of interest from -π/2 to π/2, the phase space is in turn characterized by the structure of a prevalently connected stochastic web (-π/2 ≤α<0), local stochastic webs surrounded by a stochastic sea(0<α<α/2 ) and the global stochastic sea (α=π/2). Extensive numerical investigations also indicate that the system's transport behavior in the irregular regions of the phase space for K<1 has a dependence on the system parameters and the transport coetticient D can be expressed as D≈D0(α)Kf(α).For strong kicks, i.e. K >1, the phase space is occupied by the stochastic sea, and the transport behavior of the system seems to be similar to that of the kicked rotor and independent of α.展开更多
The propagators of quantum chaotic systems in configuration space are calculated semiclassically. For the strongly chaotic system whose phase space is torus, such as baker's map, we find that, long after a logarit...The propagators of quantum chaotic systems in configuration space are calculated semiclassically. For the strongly chaotic system whose phase space is torus, such as baker's map, we find that, long after a logarithm time, the quantum propagator can be evaluated approximately as the local average of the semiclassical one on each quantum cell h.展开更多
基金the National Natural Science Foundation of China(Grants Nos.10925525 and 10805036)
文摘We study the thermal conduction behaviors of one-dimensional lattice models with asymmetric harmonic interparticle interactions. Normal thermal conductivity that is independent of system size is observed when the lattice chains are long enough. Because only the harmonic interactions are involved, the result confirms, without ambiguity, that asymmetry plays a key role in normal thermal conduction in one-dimensional momentum conserving lattices. Both equilibrium and nonequilibrium simulations are performed to support the conclusion.
基金Supported in part by the National Climbing Program(Non-linear Science)of China.
文摘We study a classical 1-dimenslonal kicked billiard model and investigate its transport behavior. The roles played by the two system parameters a and K, governing the direction and strength of the kick, respectively, are found to be quite crucial. For the perturbations which are not strong, i.e. K<1, we find that as the phase parameter α changes within its range of interest from -π/2 to π/2, the phase space is in turn characterized by the structure of a prevalently connected stochastic web (-π/2 ≤α<0), local stochastic webs surrounded by a stochastic sea(0<α<α/2 ) and the global stochastic sea (α=π/2). Extensive numerical investigations also indicate that the system's transport behavior in the irregular regions of the phase space for K<1 has a dependence on the system parameters and the transport coetticient D can be expressed as D≈D0(α)Kf(α).For strong kicks, i.e. K >1, the phase space is occupied by the stochastic sea, and the transport behavior of the system seems to be similar to that of the kicked rotor and independent of α.
文摘The propagators of quantum chaotic systems in configuration space are calculated semiclassically. For the strongly chaotic system whose phase space is torus, such as baker's map, we find that, long after a logarithm time, the quantum propagator can be evaluated approximately as the local average of the semiclassical one on each quantum cell h.
