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Dynamic information theory and information description of dynamic systems

Science China(physics,Mechanics & Astronomy) 2010年第4期53卷 607-627页

作者： xing xiusan department of physics, beijing institute of technology,{2., China 1. department of physics Beijing Institute of Technology Beijing 100081 China

In this paper, we develop dynamic statistical information theory established by the author. Starting from the ideas that the state variable evolution equations of stochastic dynamic systems, classical and quantum nonequilibrium statistical physical systems and special electromagnetic field systems can be regarded as their information symbol evolution equations and the definitions of dynamic information and dynamic entropy, we derive the evolution equations of dynamic information and dynamic entropy that describe the evolution laws of dynamic information. These four kinds of evolution equations are of the same mathematical type. They show in unison when information transmits in coordinate space outside the systems that the time rate of change of dynamic information densities originates from their drift, diffusion and dissipation in state variable space inside the systems and coordinate space in the transmission processes, and that the time rate of change of dynamic entropy densities is caused by their drift, diffusion and production in state variable space inside the systems and coordinate space in the transmission processes. When space noise can be neglected, an information wave will appear. If we only consider the information change inside the systems, dynamic information evolution equations reduce to information equations corresponding to the dynamic equations which describe evolution laws of the above dynamic systems. This reveals that the evolution laws of respective dynamic systems can be described by information equations in a unified fashion. Hence, the evolution processes of these dynamic systems can be abstracted as the evolution processes of information. Furthermore, we present the formulas for information flow, information dissipation rate, and entropy production rate. We prove that the information production probably emerges in a dynamic system with internal attractive interaction between the elements, and derive a formula for this information production

关键词： dynamic information evolution equation informationization of dynamic equation information wave information flow and force information dissipation and production degradation and evolution

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On the fundamental equation of nonequilibrium statistical physics—Nonequilibrium entropy evolution equation and the formula for entropy production rate

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Science China(physics,Mechanics & Astronomy) 2010年第12期53卷 2194-2215页

作者： xing xiusan department of physics, beijing institute of technology,{2., China 1. department of physics Beijing Institute of Technology Beijing 100081 China

In this paper the author presents an overview on his own research works. More than ten years ago, we proposed a new fundamental equation of nonequilibrium statistical physics in place of the present Liouville equation. That is the stochastic velocity type’s Langevin equation in 6N dimensional phase space or its equivalent Liouville diffusion equation. This equation is time-reversed asymmetrical. It shows that the form of motion of particles in statistical thermodynamic systems has the drift-diffusion duality, and the law of motion of statistical thermodynamics is expressed by a superposition of both the law of dynamics and the stochastic velocity and possesses both determinism and probability. Hence it is different from the law of motion of particles in dynamical systems. The stochastic diffusion motion of the particles is the microscopic origin of macroscopic irreversibility. Starting from this fundamental equation the BBGKY diffusion equation hierarchy, the Boltzmann collision diffusion equation, the hydrodynamic equations such as the mass drift-diffusion equation, the Navier-Stokes equation and the thermal conductivity equation have been derived and presented here. What is more important, we first constructed a nonlinear evolution equation of nonequilibrium entropy density in 6N, 6 and 3 dimensional phase space, predicted the existence of entropy diffusion. This entropy evolution equation plays a leading role in nonequilibrium entropy theory, it reveals that the time rate of change of nonequilibrium entropy density originates together from its drift, diffusion and production in space. From this evolution equation, we presented a formula for entropy production rate (i.e. the law of entropy increase) in 6N and 6 dimensional phase space, proved that internal attractive force in nonequilibrium system can result in entropy decrease while internal repulsive force leads to another entropy increase, and derived a common expression for this entropy decrease rate or anothe

关键词： stochastic velocity type’s Langevin equation in 6N dimensional phase space drift-diffusion duality nonequilibrium entropy evolution equation entropy diffusion formula for entropy production rate entropy change from internal interaction a

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NONEQUILIBRIUM STATISTICAL FOUNDATION OF FATIGUE FRACTURE

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Acta Mechanica Sinica 1990年第1期6卷 35-44页

作者： xing xiusan, {2. of Applied {2., beijing institute of technology, beijing, 100081, China 1. department of Applied physics Beijing Institute of Technology 100081 Beijing China

The physical foundation of statistical law of fatigue fracture is discussed. The universal forms of the microcrack growth rate, fluctuation growth coefficient and distribution function and fatigue life distribution fu... 详细信息

关键词： microcrack evolution equation microscopic mechanism microcrack distribution function fatigue life distribution function

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New progress in the principle of nonequilibrium statistical physics

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Chinese Science Bulletin 2001年第6期46卷 448-454页

作者： xing xiusan{2. of Applied {2., beijing institute of technology, beijing 100081, China department of Applied physics Beijing Institute of Technology Beijing China

In recent years, a new fundamental equation of nonequilibrium statistical physics was proposed in place of the Liouville equation. That is the anomalous Langevin equation in (?) space or its equivalent Liouville diffusion equation of time-reversal asymmetry. This equation reflects that the form of motion of particles in statistical thermody-namic systems has the drift-diffusion duality and the law of motion of statistical thermodynamics is stochastic in essence, but does not obey the Newton equation of motion, though it is also constrained by dynamics. The stochastic diffusion of the particles is the microscopic origin of macroscopic irre-versibility. Starting from this equation, the BBGKY diffusion equation hierarchy was presented, the hydrodynamic equations, such as the generalized Navier-Stokes equation, the mass drift-diffusion equation and the thermal conductivity equation have been derived succinctly. The unified description of all three level equations of microscopic, kinetic and hydrodynamic

关键词： anomalous Langevin equation in space drift-diffusion duality stochastic law nonequilibrium entropy evolution equation entropy diffusion.

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NONEQUILIBRIUM STATISTICAL THEORY OF FATIGUE FRACTURE (Ⅱ)——FROM MICROSCOPIC MECHANISM TO MACROSCOPIC PROPERTIES OF FATIGUE FRACTURE

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中国科学A辑(英文版) 1986年第12期29卷 1318-1333页

作者：邢修三 institute of Atomic Energy beijing

The stochastic evolution equation of microcracks is given. The microcrack density distribution function is obtained on the basis of dislocation mechanism. The fatigue fracture probability, reliability, σ_a-N curves,... 详细信息

关键词： fatigue deviation stochastic Probability dislocation quantities latter brittle hardening infinite

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NONEQUILIBRIUM STATISTICAL THEORY OF FATIGUE FRACTURE(Ⅰ)——THE MICROSCOPIC MECHANISM AND STATISTICAL NATURE OF FATIGUE CRACK GROWTH

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Science in China,Ser.A 1986年第10期29卷 1051-1062页

作者：邢修三 institute of Atomic Energy beijing

In papers (Ⅰ) and (Ⅱ), we try by nonequilibrium statistical concepts and methods to construct a theory of fatigue fracture in connecting mnicroscopic mechanism with macroscopic properties. In this paper the physical picture of fatigue fracture process is described. The stochastic growth equation is given. The dislocation mechanism of growth is discussed. The transport growth rate and fluctuation growth coefficient are obtained, and thus the microcrack distribution function is derived.

关键词： NONEQUILIBRIUM STATISTICAL THEORY OF FATIGUE FRACTURE THE MICROSCOPIC MECHANISM AND STATISTICAL NATURE OF FATIGUE CRACK GROWTH length rate exp

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β-delayed proton decays near the proton drip line

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Science China(physics,Mechanics & Astronomy) 2005年第3期48卷 257-267页

作者： XU Shuwei 1 , LI Zhankui 1 , XIE Yuanxiang 1 , HUANG Wenxue 1 , SHU Nengchuan 2., CHEN Yongshou 2., XU Furong 3 , WANG Kun 4 , PAN Qiangyan 1 , WANG Xudong 1 , YU Yong 1 & xing Yebing 1 1. institute of Modern {2., Chinese Academy of Sciences, Lanzhou 730000, China 2. Nuclear {2. department, China institute of Atomic Energy, beijing 102.13, China 3. department of Technical {2., Peking University, beijing 100871, China 4. Shanghai institute for Nuclear Research, Shanghai 2.1800, China 1. institute of Modern physics Chinese Academy of Sciences 730000 Lanzhou China 2. Nuclear physics department China Institute of Atomic Energy 102413 Beijing China 3. department of Technical physics Peking University 100871 Beijing China 4. Shanghai institute for Nuclear Research 201800 Shanghai China

We briefly reviewed the experimental study on a-delayed proton decays near the proton drip line published by our group during the period of 1996―2.04, namely the first observation of the a-delayed proton decays of 9 new nuclides in the rare-earth region and the new measurements of a-delayed proton decays of 5 nuclides in the mass ～90 region near the N = Z line with the aid of the “p-?” coincidence in combination with a He-jet tape transport system. In the meantime some important experimental technique details were supplemented. The experimental results, including the half -lives, spins, parities, deformations and production reaction cross sections for the 14 nuclei were summarized and compared with the current nuclear-model predictions, and then the following points were represented. (1) The experimental half-lives for 85Mo and 92.h as well as the predicted “waiting point” nuclei 89Ru and 93Pd are 5―10 times longer than the theoretical predictions given by M?ller et al. using a macroscopic-microscopic model. It considerably influences the predictions of the abundances of the nuclides produced in the rp-process. (2. The current-model predictions are not consistent with the experimental assignments of the spins and parities for the proton drip-line nuclei 142.o and 12.Pm. However, the nuclear potential energy surface (PES) calculated by using a Woods- Saxon-Strutinsky method reproduced the experimental results. (3) The Alice code overestimated the production reaction cross sections of the studied 9 rare-earth nuclei by one order of magnitude or two, while HIVAP code overestimated them by one order of magnitude approximately.

关键词： proton drip line, β-delayed proton decay, He-jet tape transport system, "p-γ" coincidence, spin, parity, deformation, production reaction cross section.

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Reinforcement Learning-Based Dynamic Order Recommendation for On-Demand Food Delivery

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Tsinghua Science and technology 2024年第2期29卷 356-367页

作者： xing Wang Ling Wang Chenxin Dong Hao Ren Ke xing department of Automation Tsinghua UniversityBeijing 100080China School of Mechanical and Automotive Engineering Qingdao Hengxing University of Science and TechnologyQingdao 266100China Meituan Beijing 100015China

On-demand food delivery(OFD)is gaining more and more popularity in modern *** a kernel order assignment manner in OFD scenario,order recommendation directly influences the delivery efficiency of the platform and the delivery experience of *** paper addresses the dynamism of the order recommendation problem and proposes a reinforcement learning solution *** actor-critic network based on long short term memory(LSTM)unit is designed to deal with the order-grabbing conflict between different ***,three rider sequencing rules are accordingly proposed to match different time steps of the LSTM unit with different *** test the performance of the proposed method,extensive experiments are conducted based on real data from Meituan delivery *** results demonstrate that the proposed reinforcement learning based order recommendation method can significantly increase the number of grabbed orders and reduce the number of order-grabbing conflicts,resulting in better delivery efficiency and experience for the platform and riders.

关键词： on-demand food delivery order recommendation reinforcement learning actor-critic network long short term memory

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A fiducial argument for generalized p-value

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Science China Mathematics 2007年第7期50卷 957-966页

作者： Xin-min LI~(1+) xing-zhong XU~2.Guo-ying LI~3 1 institute of Applied Mathematics,Shandong University of {2.,Zibo 2.5049,China 2.3} of Mathematics,beijing institute of {2.,beijing 100801,China 3 Academy of Mathematics and Systems Science,Chinese Academy of Sciences,beijing 100800,China institute of Applied Mathematics Shandong University of Technology Zibo 255049 China department of Mathematics Beijing Institute of Technology Beijing 100801 China Academy of Mathemtics Systems Science Chinese Academy of Sciences Beijing 100800 China

This paper provides a general method for constructing generalized p-value via the fiducial ***,the power properties of the generalized test are *** illustrations, the two-parameter exponential distribution and unbalan... 详细信息

关键词： fiducial distribution generalized p-value frequency property two-parameter exponential distribution variance component 62.03 62.15

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Stimuli-evoked NOergic molecules and neuropeptides at acupuncture points and the gracile nucleus contribute to signal transduction of propagated sensation along the meridian through the dorsal medulla-thalamic pathways

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Journal of Integrative Medicine 2024年第5期22卷 515-522页

作者： Sheng-xing Ma Lundquist institute for Biomedical Innovation Harbor-University of California at Los Angeles(UCLA)Medical CenterTorranceCA 90502USA department of Obstetrics and Gynecology David Geffen School of Medicine at UCLA and Harbor-UCLA Medical CenterTorranceCA 90502USA

Numerous studies from different international groups have demonstrated that sensations can be propagated along acupuncture channel *** propagated sensation along the channel pathway(PSCP)can be elicited by electroacupuncture(EA),transcutaneous electrical nerve stimulation(TENS),manual acupuncture(MA),and heat applied to distal acupuncture points(acupoints).Nitric oxide(NO)levels were reported to be elevated in the gracile nucleus and skin regions near to the EA sites,with higher levels at acupoints associated with an enhanced expression of NO synthase and transient receptor potential vanilloid type *** stimuli,EA,MA,TENS,and heat,have been used to elicit axonal reflexes,which increase local release of NO and neuropeptides such as calcitonin gene related ***,the sensation of PSCP along the body surface occurs only ipsilaterally to the stimulated acupoints in various human studies,which does not support the involvement of the spinal-thalamic pathway,which would involve cross over transmission of the *** gracile nucleus receives ascending input from the sciatic nerve and responds to somatosensory stimulation mainly on the ipsilateral side via the dorsal column *** at Zusanli(ST36)increases NO release and expression of NO synthase mainly in the ipsilateral side of the gracile nucleus,while the cardiovascular effects and analgesic responses to EA at ST36 are changed by influences of l-arginine-derived NO synthesis in the ipsilateral gracile nucleus in *** stimuli-induced release of NOergic molecules and neuropeptides exist high levels in the acupoints,which contain rich neuronal components and blood *** NOergic molecules at acupoints cause axon reflexes during the stimuli,which elevate cutaneous blood *** NOergic molecules and local blood flow may spread over acupoints one after another along the meridian lines differing from nerve pathways following the stimuli to induce *** same types of stimula

关键词： Axon reflex Nitric oxide Biophysical approaches Calcitonin related polypeptide Dorsal funiculus tract Meridian system

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