Asymmetric Nonlinear System is Not sufficient for Non-Reciprocal Quantum Wave Diode

We demonstrate symmetric wave propagations in asymmetric nonlinear quantum systems. By solving the nonlinear Sch\"ordinger equation, we first analytically prove the existence of symmetric transmission in asymmetric systems with a single nonlinear delta-function interface. We then point out that a finite width of the nonlinear interface region is necessary to produce non-reciprocity in asymmetric systems. However, a geometrical resonant condition for breaking non-reciprocal propagation is then identified theoretically and verified numerically. With such a resonant condition, the nonlinear interface region of finite width behaves like a single nonlinear delta-barrier so that wave propagations in the forward and backward directions are identical under arbitrary incident wave intensity. As such, reciprocity re-emerges periodically in the asymmetric nonlinear system when changing the width of interface region. Finally, similar resonant conditions of discrete nonlinear Sch\"ordinger equation are discussed. Therefore, we have identified instances of Reciprocity Theorem that breaking spatial symmetry in nonlinear interface systems is not sufficient to produce non-reciprocal wave propagation.Comment: 6 pages, 5 figures, submittin

Animal use in Han dynasty cities: Zooarchaeological evidence from Yishengci, Nanyang (China)

Using zooarchaeological methods, this article examines and discusses the faunal remains recovered from a Han dynasty non-elite residential site in Yishengci, situated in the southeastern corner of the ancient city of Wan (Nanyang, Henan Province). Despite its limited size, the assemblage provides valuable insights into the local economy, which the relative taxonomy suggests was predominantly agricultural, with pigs, cattle, and dogs being the most prevalent species. Pigs played a crucial role as meat producers, with cattle and dogs also contributing to a lesser extent. The evidence points to the exploitation of animals for traction in addition to the manufacture of animal-derived products including the use of horns and antlers for tool-making. Patterns in faunal mortality and biometry suggest that animals served as a meat source for the urban population and supported intensive small-scale agriculture in the surrounding area. Population size, land management and high-yield farming production were important factors that shaped, and were shaped by animal use at Yishengci. This research contributes to a better understanding of the subsistence strategies that supported the increasing urbanization during the early empire, supplementing what is predominantly known from historical texts and iconography

Nonlinear Heat Radiation Induces Thermal Rectifier in Asymmetric Holey Composites

Asymmetric design and nonlinearity are essential to give rise to thermal rectification. In addition to the linear Fourier’s law of thermal conduction, we introduce the nonlinear thermal radiation following Stefan–Boltzmann law to asymmetric holey composites to realize the thermal rectifier. The thermal rectification results from the competition between the linear thermal conduction and the nonlinear thermal radiation, which we explain as a thermal resistor network with the linear and nonlinear components connected in series-parallel. All the results are confirmed by an analytical model that is composed of one central nonlinear thermal radiation region sandwiched by two linear conduction regions with different conductances. We can get the optimal rectification effect around the room temperature when the temperature difference is fixed, which allows the application of the designed materials to energy-saving buildings

Asymmetric Nonlinear System is Not sufficient for Non-Reciprocal Quantum Wave Diode

We demonstrate symmetric wave propagations in asymmetric nonlinear quantum systems. By solving the nonlinear Sch\"ordinger equation, we first analytically prove the existence of symmetric transmission in asymmetric systems with a single nonlinear delta-function interface. We then point out that a finite width of the nonlinear interface region is necessary to produce non-reciprocity in asymmetric systems. However, a geometrical resonant condition for breaking non-reciprocal propagation is then identified theoretically and verified numerically. With such a resonant condition, the nonlinear interface region of finite width behaves like a single nonlinear delta-barrier so that wave propagations in the forward and backward directions are identical under arbitrary incident wave intensity. As such, reciprocity re-emerges periodically in the asymmetric nonlinear system when changing the width of interface region. Finally, similar resonant conditions of discrete nonlinear Sch\"ordinger equation are discussed. Therefore, we have identified instances of Reciprocity Theorem that breaking spatial symmetry in nonlinear interface systems is not sufficient to produce non-reciprocal wave propagation

Public security patrol path planning recommendation method based on wolf-pack optimization algorithm using DAF and BRS

Abstract The public security patrol path planning plays a key role in public security work, however, existing ones has varying degrees of shortcomings. To address these shortcomings, this paper proposes a public security patrol path planning recommendation method based on an improved wolf-pack optimization algorithm (S3PRM-DAF-BRS-CWOA). Firstly, an optimization objective function regarding the public security patrol path planning (S3P-Function) was abstracted from the actual situation; Moreover, this paper proposed an improved wolf-pack optimization algorithm named DAF-BRS-CWOA using Dynamic-Adjustment-Factor(DAF) and Balanced-Raid-Strategy (BRS), and DAF devoted to adjust the overall wolf-pack running strategy by dynamically adjusting the number of airdropped wolves during the stage of Summon-Raid while BRS with symmetric property was to improve both the algorithm’s global exploration as well as the local development capabilities by increasing the number of checking locations, that means not only checking the reverse position of the current wolf, but also the positions generated according to certain rules between the reverse position of the current wolf and the current optimal wolf during the stage of Summon-Raid; Finally, DAF-BRS-CWOA was adopted to optimize S3P-Function, forming a public security patrol path planning recommendation method based on DAF-BRS-CWOA (S3PRM-DAF-BRS-CWOA). 30 independent numerical experiments were conducted on 20 public classical datasets by DAF-BRS-CWOA compared with GA, PSO, WDX-WPOA. The results indicated that the time-spent of DAF-BRS-CWOA was shortened and the optimization accuracy is the highest as well as S3PRM-DAF-BRS-CWOA has the best effect and is more time-efficient for solving public safety patrol path planning