Dielectric response of graded composites having general power-law-graded cylindrical inclusions

The dielectric response of graded composites having general power-law-graded cylindrical inclusions under a uniform applied electric field is investigated. The dielectric profile of the cylindrical inclusions is modeled by the equation epsilon(i)(r)=c(b+r)(k) (where r is the radius of the cylindrical inclusions and c, b and k are parameters). Analytical solutions for the local electrical potentials are derived in terms of hypergeometric functions and the effective dielectric response of the graded composites is predicted in the dilute limit. Moreover, for a simple power-law dielectric profile epsilon(i)(r) = cr(k) and a linear dielectric profile epsilon(i)(r) = c(b + r), analytical expressions of the electrical potentials and the effective dielectric response are derived exactly from our results by taking the limits b -> 0 and k -> 1, respectively. For a higher concentration of inclusions, the effective dielectric response is estimated by an effective-medium approximation. In addition, we have discussed the effective response of graded cylindrical composites with a more complex dielectric profile of inclusion, epsilon(i)(r)=c(b+r)(k)e(beta r). (c) 2005 American Institute of Physics.

Effective dielectric responses of graded composites of the particles with a general power-law gradation profile

The effective dielectric response of graded spherical composites having general power-law gradient inclusions is investigated under a uniform applied electric field, where the dielectric gradation profile of the spherical inclusions is modeled by the equation epsilon(i) (r) = c(b+r)(k). Analytical solutions of the local electrical potentials are derived in terms of hyper-geometric function and the effective dielectric response of the graded composites is predicted in the dilute limit. From our result, the local potentials of graded spherical composites having both simple power-law dielectric profile epsilon(i)(r) = cr(k) and linear dielectric profile epsilon(i) (r) = c(b+r) are derived exactly by taking the limits b --> 0 and k --> 1, respectively. In the dilute limit, our exact result is used to test the validity of differential effective dipole approximation (DEDA) for estimating the effective response of graded spherical composites, and it is shown that the DEDA is in excellent agreement with exact result. (C) 2005 Elsevier B.V. All rights reserved.

ARTICLE: On the Curious Disappearance of Human Servitude from General International Law

The following study considers the fragmentation of law which occurred in 1956 with regard to the law on servitude. As States were unwilling to go as far as the Universal Declaration on Human in establishing that "no one shall be held in [...] servitude", the negotiators of the 1956 Supplementary Conventions moved to expunge the very term 'servitude' from the text and to replace it with the phrase 'institutions and practices similar to slavery' which could then be abolished 'progressively and as soon as possible'. The negotiation history of the 1956 Convention clear demonstrate that the Universal Declaration on Human was the elephant in the room and that it ultimately lead to a fragmentation of the law as between general international law manifest in the 1956 Supplementary Convention on the one hand and international human rights law on the other. It is for this reason that, for instance the 2001 UN and 2005 Council of Europe trafficking conventions mention both 'practices similar to slavery' and 'servitude' as types of human exploitation to be suppressed in their definition of 'trafficking in persons'.

General Legitimacy of Judicial Review and the Fundamental Basis of Constitutional Law

Four questions dominate normative contemporary constitutional theroy: What is the purpose of a constitution? What makes a constitution legitimate? What kinds of arguments are legitimate within the process of constitutional interpretation? What can make judicial review of legislation legitimate in principle? The main purpose of this text is to provide one general answer to the last question. The secondary purpose is to show how this answer may bear upon our understanding of the fundamental basis of constitutional law. These two purposes should suggest particular answers to the first three questions.

Impoverishment of The Law by The Law: A Critique of The Attorney General's Vision of The Rule of Law and The Federal Principle

This brief article is devoted to a critique of the arguments put forward by the Attorney General of Canada in connection with the Reference concerning certain questions relating to the secession of Quebec (hereinafter, "the Reference"). This critique will not be presented from a plainly positivist standpoint. On the contrary, I will be examining in particular (1) how the approach taken by the Attorney General impoverished the legal concepts of the rule of law anf federalism, both of which were, however, central to her submission; and, in a more general way, (2) how the excessively detailed analysis of constitutional texts contributes to the impoverishment of the symbolic function of the law, however essential that dimension may be to its legitimacy. My criticism will take into account the reasons for judgement delivered recently by the Supreme Court in the Reference.

“Superficial Water Concessions In Light Of The General Theory of the Administrative Act” The Incidence of the Public Law’s Dogmatic Tradition of Public Law Within Environmental Law

This paper seeks the determine the ways in which anomalous decisions derived from the particularization and constitutionalization of environmental law can arise given the general theory of administrative action. This is seen through the lens of a study and characterization of administrative decisions issued by the Regional Autonomous Corporation of Cundinamarca –CAR- within the superficial water concessions procedure. It also discusses the conceptual contents of these licenses.

An overview of liability and compensation for personal injury in China under the general principles of civil law

This article reviews the personal injury tort system in the People's Republic of China (PRC). The Chinese torts law has a number of unique features. To begin with, it is quite new — the legal framework of torts law was established only in 1986. The unique features of the Chinese torts law also stem from its long and difficult evolution over nearly 40 years. Equally important has been the remarkable blend of influences that have shaped its current law — a mixture of socialist objectives, capitalist pragmatism, and feudal doctrines combined with jurisprudential models taken from a range of western civil codes and, more recently, the common law.

Part one of the article briefly analyses the most important features of the existing Chinese legal system. Part two provides a background to the enactment of the General Principles of Civil Law (GPCL), which incorporates Chinese torts law. The review looks at the development and drafting of the GPCL legislation, and the influences that guided the formulation of legal principles. Part three of the article provides an overview of the torts law provisions in the GPCL. Part four examines the law of personal injury established by the GPCL. Part five uses some case studies to illustrate the principles highlighted in the previous two parts and part six contains a brief conclusion and some pointers to the directions that Chinese torts law may take in the future.

Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradox

We investigate and solve in the context of general relativity the apparent paradox which appears when bodies floating in a background fluid are set in relativistic motion. Suppose some macroscopic body, say, a submarine designed to lie just in equilibrium when it rests (totally) immersed in a certain background fluid. The puzzle arises when different observers are asked to describe what is expected to happen when the submarine is given some high velocity parallel to the direction of the fluid surface. on the one hand, according to observers at rest with the fluid, the submarine would contract and, thus, sink as a consequence of the density increase. on the other hand, mariners at rest with the submarine using an analogous reasoning for the fluid elements would reach the opposite conclusion. The general relativistic extension of the Archimedes law for moving bodies shows that the submarine sinks. As an extra bonus, this problem suggests a new gedankenexperiment for the generalized second law of thermodynamics.

A regional approach to the consultations held by the Secretary-General of the United Nations on part XI of the United Nations Convention on the Law of the Sea

Includes bibliography

European Criminal Law and General Principles of Union Law. Research Papers in Law, 5/2005

From the Introduction. The European Court of Justice, partly followed in this by the European legislator, has regulated Community law and policy through a set of general principles of law. For the Community legal order in the first pillar, general legal principles have developed from functional policy areas such as the internal market, the customs union, the monetary union, the common agricultural policy, the European competition policy, etc., which are of great importance for the quality and legitimacy of Community law. The principles in question are not so much general legal principles of an institutional character, such as the priority of Community law, direct effect or Community loyalty, but rather principles of law which shape the fundamental rights and basic rights of the citizen. I refer to the principle of legality, of nulla poena, the inviolability of the home, the nemo tenetur principle, due process, the rights of the defence, etc. Many of these legal principles have been elevated to primary Community law status by the European Court of Justice, often as a result of preliminary questions. Nevertheless, a considerable number of them have also been elaborated in the context of contentious proceedings before the Court of Justice, such as in the framework of European competition law and European public servants law.