In this paper, we introduce the fractional generalized Langevin equation (FGLE) in quantum systems with memory effect. For a particular form of memory kernel that characterizes the quantum system, we obtain the analyt...In this paper, we introduce the fractional generalized Langevin equation (FGLE) in quantum systems with memory effect. For a particular form of memory kernel that characterizes the quantum system, we obtain the analytical solution of the FGLE in terms of the two-parameter Mittag-Leffler function. Based on this solution, we study the time evolution of this system including the qubit excited-state energy, polarization and von Neumann entropy. Memory effect of this system is observed directly through the trapping states of these dynamics.展开更多
A Reynolds stress closure based on the generalized Langevin model (GLM), developed by Haworth and Pope, is applied to the flow calculation with swirl-induced recirculation. The purpose of the work is to assess the per...A Reynolds stress closure based on the generalized Langevin model (GLM), developed by Haworth and Pope, is applied to the flow calculation with swirl-induced recirculation. The purpose of the work is to assess the performance of this model under the complex flow conditions caused by the presence of strong swirl which gives rise to both unconventional recirculation in the vicinity of the symmetry axis and strong anisotropy in the turbulence field. Comparison of the computational results are made both with the experimental data of Roback and Johnson and the computational results obtained with the typical isotropization of production model (IPM) and the k-∈ type Boussinesq viscosity model.展开更多
复杂多体系统通常可以看作是一个系统和热浴相互耦合作用构成的体系.从郎之万方程的推导出发,可以得出线性耦合情况下热浴的关联函数为〈F(t)·F(τ)〉=kT∑j((λ_j^2)/(m_jω_j^2))cosω_j(t-τ).线性耦合情况下系统的郎之万方程为...复杂多体系统通常可以看作是一个系统和热浴相互耦合作用构成的体系.从郎之万方程的推导出发,可以得出线性耦合情况下热浴的关联函数为〈F(t)·F(τ)〉=kT∑j((λ_j^2)/(m_jω_j^2))cosω_j(t-τ).线性耦合情况下系统的郎之万方程为P(t)+(H_S^(m)/Q)+λ~2 integral from n=0 to t(dτK(t-τ)·P(τ)=λF(t))展开更多
文摘In this paper, we introduce the fractional generalized Langevin equation (FGLE) in quantum systems with memory effect. For a particular form of memory kernel that characterizes the quantum system, we obtain the analytical solution of the FGLE in terms of the two-parameter Mittag-Leffler function. Based on this solution, we study the time evolution of this system including the qubit excited-state energy, polarization and von Neumann entropy. Memory effect of this system is observed directly through the trapping states of these dynamics.
文摘A Reynolds stress closure based on the generalized Langevin model (GLM), developed by Haworth and Pope, is applied to the flow calculation with swirl-induced recirculation. The purpose of the work is to assess the performance of this model under the complex flow conditions caused by the presence of strong swirl which gives rise to both unconventional recirculation in the vicinity of the symmetry axis and strong anisotropy in the turbulence field. Comparison of the computational results are made both with the experimental data of Roback and Johnson and the computational results obtained with the typical isotropization of production model (IPM) and the k-∈ type Boussinesq viscosity model.
文摘复杂多体系统通常可以看作是一个系统和热浴相互耦合作用构成的体系.从郎之万方程的推导出发,可以得出线性耦合情况下热浴的关联函数为〈F(t)·F(τ)〉=kT∑j((λ_j^2)/(m_jω_j^2))cosω_j(t-τ).线性耦合情况下系统的郎之万方程为P(t)+(H_S^(m)/Q)+λ~2 integral from n=0 to t(dτK(t-τ)·P(τ)=λF(t))
