Yepez J
Air Force Research Laboratory, Hanscom Air Force Base, MA 01731, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Apr;63(4 Pt 2):046702. doi: 10.1103/PhysRevE.63.046702. Epub 2001 Mar 29.
Quantum-computing ideas are applied to the practical and ubiquitous problem of fluid dynamics simulation. Hence, this paper addresses two separate areas of physics: quantum mechanics and fluid dynamics (or specifically, the computational simulation of fluid dynamics). The quantum algorithm is called a quantum lattice gas. An analytical treatment of the microscopic quantum lattice-gas system is carried out to predict its behavior at the mesoscopic scale. At the mesoscopic scale, a lattice Boltzmann equation with a nonlocal collision term that depends on the entire system wave function, governs the dynamical system. Numerical results obtained from an exact simulation of a one-dimensional quantum lattice model are included to illustrate the formalism. A symbolic mathematical method is used to implement the quantum mechanical model on a conventional workstation. The numerical simulation indicates that classical viscous damping is not present in the one-dimensional quantum lattice-gas system.
量子计算思想被应用于流体动力学模拟这一实际且普遍存在的问题。因此，本文涉及物理学的两个不同领域：量子力学和流体动力学（或者具体来说，流体动力学的计算模拟）。该量子算法被称为量子晶格气。对微观量子晶格气系统进行了分析处理，以预测其在介观尺度下的行为。在介观尺度上，一个具有依赖于整个系统波函数的非局部碰撞项的晶格玻尔兹曼方程支配着动力学系统。文中包含了从一维量子晶格模型的精确模拟中获得的数值结果，以说明该形式体系。使用一种符号数学方法在传统工作站上实现量子力学模型。数值模拟表明，一维量子晶格气系统中不存在经典粘性阻尼。
