The shoving model for the glass-former LiCl center dot 6H(2)O: A molecular dynamics simulation study

Molecular dynamics (MD) simulations of LiCl center dot 6H(2)O Showed that the diffusion coefficient D, and also I lie structural relaxation time , follow a power law at high temperatures, D(-1) proportional to (T - T(0))(-mu), with the same experimental parameters for viscosity (T(0) = 207 K, mu = 2.08). Decoupling between D and occurs at T(x) similar to 1.1 T(0). High frequency acoustic excitations for the LiCl center dot 6H(2)O model were obtained by the calculation of time correlation functions of mass current fluctuations. The temperature dependence of the instantaneous shear modulus, G,(T), was considered in the shoving model for supercooled liquids [J.C. Dyre, T. Christensen, N.B. Olsen, J. Non-Cryst. Solids 352 (2006) 4635] resulting in a linear relationship log (D(-1)) vs. G root T. (C) 2009 Elsevier B.V. All rights reserved.

Does Gibrat’s Law hold for Swedish energy firms?

Gibrat's law predicts that firm growth is purely random and should be independent of firm size. We use a random effects-random coefficient model to test whether Gibrat's law holds on average in the studied sample as well as at the individual firm level in the Swedish energy market. No study has yet investigated whether Gibrat's law holds for individual firms, previous studies having instead estimated whether the law holds on average in the samples studied. The present results support the claim that Gibrat's law is more likely to be rejected ex ante when an entire firm population is considered, but more likely to be confirmed ex post after market selection has "cleaned" the original population of firms or when the analysis treats more disaggregated data. From a theoretical perspective, the results are consistent with models based on passive and active learning, indicating a steady state in the firm expansion process and that Gibrat's law is violated in the short term but holds in the long term once firms have reached a steady state. These results indicate that approximately 70 % of firms in the Swedish energy sector are in steady state, with only random fluctuations in size around that level over the 15 studied years.

Legal LEGO: Model based computer assisted teaching in evidence courses

This paper describes the development of a new approach to the use of ICT for the teaching of courses in the interpretation and evaluation of evidence. It is based on ideas developed for the teaching of science to school children, in particular the importance of models and qualitative reasoning skills. In the first part, we make an analysis of the basis of current research into “evidence scholarship” and the demands such a system would have to meet. In the second part, we introduce the details of such a system that we developed initially to assist police in the interpretation of evidence.

Enforcement in environmental law: an economic analysis of citizen suits

Previous to 1970, state and federal agencies held exclusive enforcement responsibilities over the violation of pollution control standards. However, recognizing that the government had neither the time nor resources to provide full enforcement, Congress created citizen suits. Citizen suits, first amended to the Clean Air Act in 1970, authorize citizens to act as private attorney generals and to sue polluters for violating the terms of their operating permits. Since that time, Congress has included citizen suits in 13 other federal statutes. The citizen suit phenomenon is sufficiently new that little is known about it. However, we do know that citizen suits have increased rapidly since the early 1980's. Between 1982 and 1986 the number of citizen suits jumped from 41 to 266. Obviously, they are becoming a widely used method of enforcing the environmental statutes. This paper will provide a detailed description, analysis and evaluation of citizen suits. It will begin with an introduction and will then move on to provide some historic and descriptive background on such issues as how citizen suit powers are delegated, what limitations are placed on the citizens, what parties are on each side of the suit, what citizens can enforce against, and the types of remedies available. The following section of the paper will provide an economic analysis of citizen suits. It will begin with a discussion of non-profit organizations, especially non-profit environmental organizations, detailing the economic factors which instigate their creation and activities. Three models will be developed to investigate the evolution and effects of citizen suits. The first model will provide an analysis of the demand for citizen suits from the point of view of a potential litigator showing how varying remedies, limitations and reimbursement procedures can effect both the level and types of activities undertaken. The second model shows how firm behavior could be expected to respond to citizen suits. Finally, a third model will look specifically at the issue of efficiency to determine whether the introduction of citizen enforcement leads to greater or lesser economic efficiency in pollution control. The database on which the analysis rests consists of 1205 cases compiled by the author. For the purposes of this project this list of citizen suit cases and their attributes were computerized and used to test a series of hypotheses derived from three original economic models. The database includes information regarding plaintiffs, defendants date notice and/or complaint was filed and statutes involved in the claim. The analysis focuses on six federal environmental statutes (Clean Water Act} Resource Conservation and Recovery Act, Comprehensive Environmental Response Compensation and Liability Act, Clean Air Act, Toxic Substances Control Act, and Safe Drinking Water Act) because the majority of citizen suits have occurred under these statutes.

Competition and cooperation between international courts: a critical approach to the new paradigms of cross-border dispute resolution model

This article examines the arising cross-border dispute resolution models (Cooperation and Competition among national Courts) from a critical perspective. Although they have been conceived to surpass the ordinary solution of a Modern paradigm (exclusive jurisdiction, choice of court, lis pendens, forum non conveniens, among others), they are insufficient to deal with problems raised with present globalization, as they do not abandon aspects of that paradigm, namely, (i) statebased Law; and (ii) standardization of cultural issues.

An economic model of gun control

Guns stolen from law-abiding households provide the principal source of guns for criminals. The lethality of crime instruments increases with the availability of guns, so the gun market is subject to externalities that generate excessive ownership and inadequate spending on protective measures to deter gun theft. One motive for gun ownership is self defense, and the gun market is subject to coordination failure: the more guns purchased lawfully, the more will be stolen by criminals, so the greater the incentive for lawful . consumers to purchase guns for self defense. As a result, there may be multiple equilibria in the gun market and more than one equilibrium crime rate. We show that a simple refundable deposit for guns will internalize the externalities in the gun market and may cause large downward jumps in gun ownership, the lethality of crime instruments, and the social costs of crime.

Global stabilizing feedback law for a problem of biological control of mosquito-borne diseases

The control of the spread of dengue fever by introduction of the intracellular parasitic bacterium Wolbachia in populations of the vector Aedes aegypti, is presently one of the most promising tools for eliminating dengue, in the absence of an efficient vaccine. The success of this operation requires locally careful planning to determine the adequate number of mosquitoes carrying the Wolbachia parasite that need to be introduced into the natural population. The latter are expected to eventually replace the Wolbachia-free population and guarantee permanent protection against the transmission of dengue to human. In this paper, we propose and analyze a model describing the fundamental aspects of the competition between mosquitoes carrying Wolbachia and mosquitoes free of the parasite. We then introduce a simple feedback control law to synthesize an introduction protocol, and prove that the population is guaranteed to converge to a stable equilibrium where the totality of mosquitoes carry Wolbachia. The techniques are based on the theory of monotone control systems, as developed after Angeli and Sontag. Due to bistability, the considered input-output system has multivalued static characteristics, but the existing results are unable to prove almost-global stabilization, and ad hoc analysis has to be conducted.

Two-branes with variable tension model and the effective Newtonian constant

It is shown that, in the two brane time variation model framework, if the hidden brane tension varies according to the phenomenological Eotvos law, the visible brane tension behavior is such that its time derivative is negative in the past and positive after a specific time of cosmological evolution. This behavior is interpreted in terms of a useful mechanical system analog and its relation with the variation of the Newtonian (effective) gravitational constant is explored.

A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Notes on the two-brane model with variable tension

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Can Drag Force Suppress Fermi Acceleration in a Bouncer Model?

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Non-uniform drag force on the Fermi accelerator model

Some dynamical properties of a particle suffering the action of a generic drag force are obtained for a dissipative Fermi Acceleration model. The dissipation is introduced via a viscous drag force, like a gas, and is assumed to be proportional to a power of the velocity: F alpha -nu(gamma). The dynamics is described by a two-dimensional nonlinear area-contracting mapping obtained via the solution of Newton's second law of motion. We prove analytically that the decay of high energy is given by a continued fraction which recovers the following expressions: (i) linear for gamma = 1; (ii) exponential for gamma = 2; and (iii) second-degree polynomial type for gamma = 1.5. Our results are discussed for both the complete version and the simplified version. The procedure used in the present paper can be extended to many different kinds of system, including a class of billiards problems.