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.

Maxwell's Demon, Rectifiers, and the Second Law: Computer Simulation of Smoluchowski's Trapdoor

We have simulated numerically an automated Maxwell's demon inspired by Smoluchowski's ideas of 1912. Two gas chambers of equal area are connected via an opening that is covered by a trapdoor. The trapdoor can open to the left but not to the right, and is intended to rectify naturally occurring variations in density between the two chambers. Our results confirm that though the trapdoor behaves as a rectifier when large density differences are imposed by external means, it can not extract useful work from the thermal motion of the molecules when left on its own.

A Note of Zipf's Law, Natural Languages, and Noncoding DNA Regions

In Phys. Rev. Letters (73:2), Mantegna et al. conclude on the basis of Zipf rank frequency data that noncoding DNA sequence regions are more like natural languages than coding regions. We argue on the contrary that an empirical fit to Zipf"s "law" cannot be used as a criterion for similarity to natural languages. Although DNA is a presumably "organized system of signs" in Mandelbrot"s (1961) sense, and observation of statistical featurs of the sort presented in the Mantegna et al. paper does not shed light on the similarity between DNA's "gramar" and natural language grammars, just as the observation of exact Zipf-like behavior cannot distinguish between the underlying processes of tossing an M-sided die or a finite-state branching process.

Law, "Tradition" and Legitimacy: Contesting Driglam Namzha.

A critical examination of diglam namzha and the production of "tradition".

Multiple Principles and the Obligation to Obey the Law

Nkiruka, A., Multiple Principles and the Obligation to Obey the Law, Deakin Law Review. Vol. 10. No. 2. 2005. p. 524 RAE2008

The Impact of the Oil Industry on Water in Nigeria: How Adequate is the Law and its Enforcement?

Engobo, E., The Impact of the Oil Industry on Water in Nigeria: How Adequate is the Law and its Enforcement? 1 Benin Journal of Public Law (2003) 88-112 RAE2008

Ubuntu and the Obligation to Obey the Law

Nkiruka, M., Ubuntu and the Obligation to Obey the Law, Cambrian Law Review. Vol. 37. 2006. p. 17 RAE2008

Eggs, Jurisdiction and the Internet

Kohl, U. (2002). Eggs, Jurisdiction and the Internet', International and Comparative Law Quarterly, 51 (3), 556-582. RAE2008

The Organization for Security and Co-operation in Europe and European Security Law

Odello, Marco, The Organization for Security and Co-operation in Europe and European Security Law, In: European Security Law, Oxford University Press, pp. 295-328, 2007. RAE2008

Intention and Causation in Medical Non-Killing: The impact of criminal law concepts on euthanasia and assisted suicide

null RAE2008

The Limitations of Law in promoting synergy between environment and development policies in developing countries

Journal of Energy and Natural Resources Law, 24(4) pp.574-606 RAE2008

Identifying the Aggressor under International Law: A Principles Approach

null RAE2008

Double Jeopardy Without Parameters: Re-characterization in International Criminal Law

Olusanya, O. (2004). Double Jeopardy Without Parameters: Re-characterization in International Criminal Law. Series Supranational Criminal Law: Capita Selecta, volume 2. Antwerp: Intersentia. RAE2008

'Possession is nine tenths of the law': Britain and the boundaries of Eastern Europe since 1945

Hughes, R. G., ''Possession is nine tenths of the law': Britain and the boundaries of Eastern Europe since 1945', Diplomacy and Statecraft, (2005) 16(4) pp.723-747 RAE2008