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A new explanation for statistical entropy of charged black hole

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Science China(Physics,Mechanics & Astronomy) 2013年第9期56卷 1632-1635页

作者： zhao ren ZHANG LiCh Institute of Theoretical Physics Department of PhysicsShanxi Datong University

Using the Unruh-Verlinde temperature obtained by the idea of entropy force,we directly calculated the partition functions of Boson field in Reissner-Nordstro¨m spacetime with quantum statistical *** obtain the expression of the black hole quantum statistical *** find that the term is proportional to the area of black hole horizon and the logarithmic correction term *** result is valid for flat spacetime.

关键词： entropic force holographic screens axisymmetric spacetime thermal equilibrium

Cohomology Theories in Triangulated Categories

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Acta Mathematica Sinica,English Series 2016年第11期32卷 1377-1390页

作者： Wei ren ren Yu zhao Zhong Kui LIU School of Mathematical Sciences Fudan University Shanghai 200433 P. R. China Department of Mathematics Northwest Normal University Lanzhou 730070 P. R. China

Let C be a triangulated category with a proper class g of triangles. We prove that there exists an Avramov-Martsinkovsky type exact sequence in g, which connects ε-cohomology, ε-Tate cohomology and ε-Corenstein coh... 详细信息

关键词： Triangulated categories proper class of triangles cohomology theories

Entropy Correction for Kerr Black Hole

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Communications in Theoretical Physics 2005年第6X期44卷 1037-1040页

作者： zhao ren ZHANG Sheng-Li Department of Applied Physics Xi'an Jiaotong University Xi'an 710049 China Department of Physics Yanbei Normal Institute Datong 037009 China

In this paper, we discuss leading-order corrections to the entropy of Kerr black hole due to thermal fluctuations in the finite cavity. Then temperature is constant, the solution of the black hole is obtained within a cavity, that is, the solution of the spacetime after considering the radiation of the black hole. Therefore, we derive that the location of the black hole horizon and specific heat are the functions of temperature and the radius of the *** to entropy also are related to the radius of the cavity. Through calculation, we obtain conditions of taking the value of the cavity's radius. We provide a new way for studying the corrections of complicated spacetimes.

关键词： entropy correction entropy of Kerr black hole ellipsoid surface

Correction value to charged Bekenstein-Hawking black hole entropy

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Science China(Physics,Mechanics & Astronomy) 2008年第9期51卷 1214-1220页

作者： ZHANG LiChun WU YueQin zhao ren Department of Physics Shanxi Datong UniversityDatong 037009China

Recently,based on the study of black hole Hawking radiation with the tunnel effect method,we found that the radiation spectrum of the black hole is not a strict pure thermal spectrum. It is a very interesting problem to determine how the departure of the black hole radiation spectrum from the pure thermal spectrum affects entropy. We calculate the partition function by the energy spectrum obtained using tunnel effect. Using the relation between the partition function and entropy,we derive the correction value to Bekenstein-Hawking entropy of the charged black hole. Fur-thermore,we obtain the conditions that various thermodynamic quantities must satisfy,when phase transition of the charged black hole occurs.

关键词： tunnel effect Bekenstein-Hawking entropy quantum statistics phase transition

Privacy-preserving explainable AI: a survey

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Science China(Information Sciences) 2025年第1期 23-56页

作者： Thanh Tam NGUYEN Thanh Trung HUYNH zhao ren Thanh Toan NGUYEN Phi Le NGUYEN Hongzhi YIN Quoc Viet Hung NGUYEN School of Information and Communication Technology Griffith University School of Computer and Communication Sciences Ecole Polytechnique Federale de Lausanne Faculty of Mathematics and Computer Science University of Bremen Faculty of Information Technology HUTECH University Department of Computer Science Hanoi University of Science and Technology School of Electrical Engineering and Computer Science The University of Queensland

As the adoption of explainable AI(XAI) continues to expand, the urgency to address its privacy implications intensifies. Despite a growing corpus of research in AI privacy and explainability, there is little attention on privacy-preserving model explanations. This article presents the first thorough survey about privacy attacks on model explanations and their countermeasures. Our contribution to this field comprises a thorough analysis of research papers with a connected taxonomy that facilitates the categorization of privacy attacks and countermeasures based on the targeted explanations. This work also includes an initial investigation into the causes of privacy leaks. Finally, we discuss unresolved issues and prospective research directions uncovered in our analysis. This survey aims to be a valuable resource for the research community and offers clear insights for those new to this domain. To support ongoing research, we have established an online resource repository, which will be continuously updated with new and relevant findings.

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Thermodynamics of the Reissner-Nordstrm-de Sitter black hole

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Science China(Physics,Mechanics & Astronomy) 2011年第8期54卷 1384-1387页

作者： ZHANG LiChun LI HuaiFan zhao ren Institute of Theoretical Physics Department of Physics Shanxi Datong University Datong 037009 China

Considering the relationship between the black hole horizon and the cosmological horizon, the thermodynamic property of the charged de Sitter spacetime is discussed. The effective temperature and energy are obtained. The result shows that the upper limit of the energy in the charged de Sitter spacetime is just the energy in the pure de Sitter spacetime. The thermal capacity of the charged de Sitter spacetime is positive, thus satisfying the thermal stability condition.

关键词： charged de Sitter spacetime Nernst theorem dark energy effective temperature

Entropy of Higher-Dimensional Charged de Sitter Black Holes and Phase Transition

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Communications in Theoretical Physics 2018年第11期69卷 578-584页

作者： ren zhao Li-Chun Zhang Institute of Theoretical Physics Shanxi Datong University Department of Physics Shanxi Datong University

From a new perspective, we discuss the thermodynamic entropy of (n+2)-dimensional Reissner-Nordstrmde Sitter (RNdS) black hole and analyze the phase transition of the effective thermodynamic system. Considering the correlations between the black hole event horizon and the cosmological horizon, we conjecture that the total entropy of the RNdS black hole should contain an extra term besides the sum of the entropies of the two horizons. In the lukewarm case, the effective temperature of the RNdS black hole is the same as that of the black hole horizon and the cosmological horizon. Under this condition, we obtain the extra contribution to the total entropy. With the corrected entropy, we derive other effective thermodynamic quantities and analyze the phase transition of the RNdS black hole in analogy to the usual thermodynamic system.

关键词： de Sitter space black hole entropy phase transition

Perspectives on the treatment of colorectal carcinoma

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World Journal of Gastrointestinal Oncology 2010年第5期2卷 229-234页

作者： ren zhao Jing Li Shanghai Jiao Tong Univ Ruijin Hosp Dept Gen Surg 197 Ruijin Er Rd Shanghai 200025 Peoples R China

Colorectal cancer includes cancerous growths in the colon, rectum and appendix. With 655000 deaths worldwide per year, it is the third most common form of cancer and the second leading cause of cancer-related death in the Western world. Advances in imaging, genetics, molecular diagnostics, surgical techniques and chemotherapy are now making significant gains in our ability to prevent, diagnose, and treat this serious disease. This article reviews some of these recent successes and shares a vision of future care based on current research.

关键词： Treatment Colorectal carcinoma Resection margin Chemotherapy Chemoprevention Screening technology Endoscopic submucosal surgery

First Description of Fossil Naucoridae (Heteroptera:Nepomorpha) from Late Mesozoic of China

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Acta Geologica Sinica(English Edition) 2011年第2期85卷 490-500页

作者： ZHANG Weiting YAO Yunzhi ren Dong zhao Yunyun College of Life Sciences Capital Normal University Beijing 100048 China

Herein the description and illustration of two new fossil genera and species of Naucoridae,Exilcrus cameriferus gen. ＆ sp. Nov. and Miroculus laticephlus gen. ＆ sp. Nov., are provided. Both species were collected from the Late Jurassic to Early Cretaceous Yixian Formation of western Liaoning, China. The complete preservation of the new specimens enable us to determine the characters of the specimens reported here. This finding represents the first record of fossil Naucoridae from China, which includes well-preserved nymphs. The possibility of a predatory habit of these specimens is discussed.

关键词： Naucoridae fossil Yixian Formation Upper Mesozoic China