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KRAMERS: 作品数：62被引量：99H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：包立平周建军张梦洁郑薇许金刚更多>>; 相关机构：华东师范大学杭州电子科技大学四川大学南京理工大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金河北省自然科学基金更多>>

REGULARITY THEORY AND NUMERICAL ALGORITHM FOR THE TIME-FRACTIONAL KLEIN-KRAMERS EQUATION: 《Journal of Computational Mathematics》2025年第2期257-279,共23页Jing Sun Daxin Nie Weihua Deng; supported by the National Natural Science Foundation of China(Grant Nos.12201270,12071195,12225107);by the Innovative Groups of Basic Research in Gansu Province(Grant No.22JR5RA391);by the Science and Technology Plan of Gansu Province(Grant No.22JR5RA535);by the Major Science and Technology Projects in Gansu Province-Leading Talents in Science and Technology(Grant No.23ZDKA0005);by the Fundamental Research Funds for the Central Universities(Grant No.lzujbky-2022-pd04);by the China Postdoctoral Science Foundation(Grant No.2022M721439).; Fractional Klein-Kramers equation can well describe subdiffusion in phase space.In this paper,we develop the fully discrete scheme for time-fractional Klein-Kramers equation based on the backward Euler convolution qua...; 关键词：Time-fractional Klein-Kramers equation Regularity estimate Convolution quadrature Local discontinuous Galerkin method Error analysis

A simple model for two-proton radioactivity: 《Chinese Physics C》2024年第10期247-255,共9页Jie-Dong Jiang Xiao Liu Dong-Meng Zhang Ming Li Xi-Jun Wu Xiao-Hua Li; Supported in part by the National Natural Science Foundation of China(12175100,11975132);the Construct Program of the Key Discipline in Hunan Province,the Research Foundation of Education Bureau of Hunan Province,China(21B0402,18A237);the Natural Science Foundation of Hunan Province,China(2018JJ2321);the Innovation Group of Nuclear and Particle Physics in USC,the Natural Science Foundation of Shandong Province,China(ZR2022JQ04);the Innovation Foundation For Postgraduate of Hunan Province,China(CX20220993);the Opening Project of Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment,University of South China(2019KFZ10)。; In this work,considering the preformation factor of the emitted two protons in parent nucleus S_(2p) and the effect of the parent nucleus deformation,based on the Wentzel-Kramers-Brillouin approximation and Bohr-Somme...; 关键词：two-proton radioactivity HALF-LIVES Wentzel-Kramers-Brillouin approximation

On Mathematical Aspects of the Theory of Topological Insulators: 《Acta Mathematica Sinica,English Series》2024年第1期81-106,共26页Innocenti MARESIN Armen SERGEEV Egor TEPLYAKOV; Supported by RFBR(Grant Nos.19-01-00474,20-51-05006)。; This review is devoted to one of the most interesting and actively developing fields in condensed matter physics—theory of topological insulators.Apart from its importance for theoretical physics,this theory enjoys n...; 关键词：Topological insulators Bloch theory fermionic Fock spaces Kramers degeneration Maiorana states

Single-shot Kramers–Kronig complex orbital angular momentum spectrum retrieval被引量：4: 《Advanced Photonics》2023年第3期135-143,共9页Zhongzheng Lin Jianqi Hu Yujie Chen Camille-Sophie Bres Siyuan Yu; supported by the National Key Research and Development Program of China (2018YFB1801803, 2019YFA0706302);the Basic and Applied Basic Research Foundation of Guangdong Province (2021B1515020093, 2021B1515120057);the Local Innovative and Research Teams Project of Guangdong Pearl River Talents Program (2017BT01X121);the Swiss National Science Foundation (P2ELP2_199825); Orbital angular momentum (OAM) spectrum diagnosis is a fundamental building block for diverseOAM-based systems. Among others, the simple on-axis interferometric measurement can retrieve theamplitude and phase informat...; 关键词：orbital angular momentum Kramers-Kronig relations single-shot measurement phase retrieval

Detecting physical laws from data of stochastic dynamical systems perturbed by non-Gaussianα-stable Lévy noise: 《Chinese Physics B》2023年第5期337-342,共6页陆凌弘志李扬刘先斌; the National Natural Science Foundation of China(Grant No.12172167);the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD)。; Massive data from observations,experiments and simulations of dynamical models in scientific and engineering fields make it desirable for data-driven methods to extract basic laws of these models.We present a novel me...; 关键词：data-driven modelling noise-induced transitions Lévy noise Kramers–Moyal formuas

Levy过程驱动的随机振动系统逼近: 《枣庄学院学报》2023年第2期16-20,共5页张梦洁吕艳房永磊; 国家自然科学基金资助项目(11671204)。; 研究具有Levy噪声随机振动方程的Smoluchowski-Kramers逼近问题,利用分项估计方法优化随机微分方程模型,证明了在奇异扰动ε趋向于0时,原二阶方程可以由相应的一阶方程进行逼近,原方程的解X_(t)^(ε)依概率收敛到X_(t)^(ε)。; 关键词：随机振动方程 Smoluchowski-Kramers逼近 Levy噪声

Rate of the phase transition for a charged anti-de Sitter black hole: 《Science China(Physics,Mechanics & Astronomy)》2023年第4期61-66,共6页Zhen-Ming Xu Bin Wu Wen-Li Yang; supported by the National Natural Science Foundation of China (Grant Nos. 12105222, 12275216, and 12247103);the Double First-class University Construction Project of Northwest University。; Phase transition is a core content of black hole thermodynamics. This study adopted Kramer’s escape rate method for describing the Brownian motion of particles in an external field to investigate the intensity of the...; 关键词：black hole thermodynamics phase transition thermal potential Kramer’s escape rate

Global-in-Time L^(p)-L^(q) Estimates for Solutions of the Kramers-Fokker-Planck Equation: 《Communications in Mathematical Research》2022年第4期560-578,共19页Xue Ping Wang Lu Zhu; In this work,we prove an optimal global-in-time L^(p)-L^(q) estimate for solutions to the Kramers-Fokker-Planck equation with short range potential in dimension three.Our result shows that the decay rate as t-→+∞ is...; 关键词：Global-in-time estimates nonselfadjoint operators kinetic equation Kramers-Fokker-Planck operator

Data-driven modeling of a four-dimensional stochastic projectile system: 《Chinese Physics B》2022年第7期157-162,共6页Yong Huang Yang Li; the Six Talent Peaks Project in Jiangsu Province,China(Grant No.JXQC-002)。; The dynamical modeling of projectile systems with sufficient accuracy is of great difficulty due to high-dimensional space and various perturbations.With the rapid development of data science and scientific tools of m...; 关键词：data-driven modeling machine learning projectile systems Kramers–Moyal formulas

多尺度随机系统的渐近行为: 《数学理论与应用》2022年第2期47-60,共14页李楠楠解龙杰; 国家自然科学基金项目(No.12071186);江苏省研究生科研与实践创新项目(No.KYCX21-2612)资助。; 本文总结具有不规则系数的多尺度随机系统渐近行为的最新进展,介绍平均化原理、正态偏差及扩散逼近;特别地,对于由布朗噪音驱动的经典随机Langevin方程与由Lévy噪音驱动的随机Langevin方程,介绍其Smoluchowski-Kramers逼近.与经典的布...; 关键词：扩散逼近 Smoluchowski-Kramers逼近正态偏差多尺度系统平均化原理

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