From the UV to the static-field limit: rates and scaling laws of intense-field ionization of helium

We present high-accuracy calculations of ionization rates of helium at UV (195 nm) wavelengths. The data are obtained from full-dimensionality integrations of the helium-laser time-dependent Schrödinger equation. Comparison is made with our previously obtained data at 390 nm and 780 nm. We show that scaling laws introduced by Parker et al extend unmodified from the near-infrared limit into the UV limit. Static-field ionization rates of helium are also obtained, again from time-dependent full-dimensionality integrations of the helium Schrödinger equation. We compare the static-field ionization results with those of Scrinzi et al and Themelis et al, who also treat the full-dimensional helium atom, but with time-independent methods. Good agreement is obtained.

A splitting result for the algebraic K-theory of projective toric schemes

Suppose X is a projective toric scheme defined over a ring R and equipped with an ample line bundle L . We prove that its K-theory has a direct summand of the form K(R)(k+1) where k = 0 is minimal such that L?(-k-1) is not acyclic. Using a combinatorial description of quasi-coherent sheaves we interpret and prove this result for a ring R which is either commutative, or else left noetherian.

Distinguished algebraic semantics for t-norm based fuzzy logics:Methods and algebraic equivalencies

This paper is a contribution to Mathematical fuzzy logic, in particular to the algebraic study of t-norm based fuzzy logics. In the general framework of propositional core and ?-core fuzzy logics we consider three properties of completeness with respect to any semantics of linearly ordered algebras. Useful algebraic characterizations of these completeness properties are obtained and their relations are studied. Moreover, we concentrate on five kinds of distinguished semantics for these logics-namely the class of algebras defined over the real unit interval, the rational unit interval, the hyperreals (all ultrapowers of the real unit interval), the strict hyperreals (only ultrapowers giving a proper extension of the real unit interval) and finite chains, respectively-and we survey the known completeness methods and results for prominent logics. We also obtain new interesting relations between the real, rational and (strict) hyperreal semantics, and good characterizations for the completeness with respect to the semantics of finite chains. Finally, all completeness properties and distinguished semantics are also considered for the first-order versions of the logics where a number of new results are proved. © 2009 Elsevier B.V. All rights reserved.

Government Laws, Regulations and Policies: Small Fish in a Big Pond

Global development has, in recent years, been shaped by the rise of transnational capital. This has implications for the quality and effectiveness of those national laws, regulations and policies in place to monitor transnational capital, ensure that multi national organisations assume responsibility and hold them accountable should they fail to do so. In balancing these objectives, contrasting issues come to the fore, such as the fear of capital flight; an issue especially profound in small open economies where the balance may tip in the favour of retaining, as opposed to regulating, foreign capital.
This paper can be considered in three parts. First, the paper addresses the shift in global leadership from national governments to multinational corporations (with particular reference to the rise of the Transnational Capitalist Class). This shift will incorporate the connotations of the Third Way. In considering this ideology, it will propose the Third Way as a transition phase to a stage when government is more the “third wheel” than an equal partner in governance structures. Second, the implications of the changing nature of governance on the capacity of nation states to develop effective laws, regulations and policies is discussed which leads on to the third aspect of the paper which identifies the challenges for governments, business and society in reimagining the governance structure pertaining to law, regulation and policy and the need to reconsider existing structures in light of global shifts in power structures.
A new leadership structure, both within the national and international governance system has far reaching implications. Boundary constraints no longer an issue, the potential for equality and global democracy is huge. Instead, a post recessionary world faces new governance challenges in the shape of; legitimacy; accountability and responsibility. Capitalism has invaded government and the primary challenge will be in avoiding the same issues that have dogged our financial markets for the last number of years. The challenge then to laws, regulations and public policy is huge, especially considering that the governments regulating are smaller than those dictating agenda on a global level

Are power laws that estimate fractal dimension a good descriptor of soil structure and its link to soil biological properties?

The study of interrelationships between soil structure and its functional properties is complicated by the fact that the quantitative description of soil structure is challenging. Soil scientists have tackled this challenge by taking advantage of approaches such as fractal geometry, which describes soil architectural complexity through a scaling exponent (D) relating mass and numbers of particles/aggregates to particle/aggregate size. Typically, soil biologists use empirical indices such as mean weight diameters (MWD) and percent of water stable aggregates (WSA), or the entire size distribution, and they have successfully related these indices to key soil features such as C and N dynamics and biological promoters of soil structure. Here, we focused on D, WSA and MWD and we tested whether: D estimated by the exponent of the power law of number-size distributions is a good and consistent correlate of MWD and WSA; D carries information that differs from MWD and WSA; the fraction of variation in D that is uncorrelated with MWD and WSA is related to soil chemical and biological properties that are thought to establish interdependence with soil structure (e.g., organic C, N, arbuscular mycorrhizal fungi). We analysed observational data from a broad scale field study and results from a greenhouse experiment where arbuscular mycorrhizal fungi (AMF) and collembola altered soil structure. We were able to develop empirical models that account for a highly significant and large portion of the correlation observed between WSA and MWD but we did not uncover the mechanisms that underlie this correlation. We conclude that most of the covariance between D and soil biotic (AMF, plant roots) and abiotic (C. N) properties can be accounted for by WSA and MWD. This result implies that the ecological effects of the fragmentation properties described by D and generally discussed under the framework of fractal models can be interpreted under the intuitive perspective of simpler indices and we suggest that the biotic components mostly impacted the largest size fractions, which dominate MWD, WSA and the scaling exponent ruling number-size distributions. (C) 2010 Elsevier Ltd. All rights reserved.

Laser-ion accelerators: State-of-the-art and scaling laws

A significant amount of experimental work has been devoted over the last decade to the development and optimization of proton acceleration based on the so-called Target Normal Sheath acceleration mechanism. Several studies have been dedicated to the determination of scaling laws for the maximum energy of the protons as a function of the parameters of the irradiating pulses, studies based on experimental results and on models of the acceleration process. We briefly summarize the state of the art in this area, and review some of the scaling studies presented in the literature. We also discuss some recent results, and projected scalings, related to a different acceleration mechanism for ions, based on the Radiation Pressure of an ultraintense laser pulse.

How Does Justice Sound? Enunciative Modalities, Law’s Logos and Woman’s Voice

In the throes of her mimetic exposure of the lie of phallocratic discursive unity in 'Speculum of the Other Woman', Irigaray paused on the impossibility of woman’s voice and remarked that ‘it [was] still better to speak only in riddles, allusions, hints, parables.’ Even if asked to clarify a few points. Even if people plead that they just don’t understand. After all, she said, ‘they never have understood.’ (Irigaray 1985, 143).

That the law has never understood a uniquely feminine narrative is hardly controversial, but that this erasure continues to have real and substantive consequences for justice is a reality that feminists have been compelled to remain vigilant in exposing. How does the authority of the word compound law’s exclusionary matrix? How does law remain impervious to woman’s voice and how might it hear woman’s voice? Is there capacity for a dialogic engagement between woman, parler femme, and law?

This paper will explore these questions with particular reference to the experience of women testifying to trauma during the rape trial. It will argue that a logically linked historical genealogy can be traced through which law has come to posit itself as an originary discourse by which thinking is very much conflated with being, or in other terms, law is conflated with justice. This has consequences both for women’s capacity to speak or represent the harm of rape to law, but also for law’s ability to ‘hear’ woman’s voice and objectively adjudicate in cases of rape. It will suggest that justice requires law acknowledge the presence of two distinct and different subjects and that this must be done not only at the symbolic level but also at the level of the parole, syntax and discourse.

Distillable entanglement and area laws in spin and harmonic-oscillator systems

We address the presence of nondistillable (bound) entanglement in natural many-body systems. In particular, we consider standard harmonic and spin-1/2 chains, at thermal equilibrium and characterized by few interaction parameters. The existence of bound entanglement is addressed by calculating explicitly the negativity of entanglement for different partitions. This allows us to individuate a range of temperatures for which no entanglement can be distilled by means of local operations, despite the system being globally entangled. We discuss how the appearance of bound entanglement can be linked to entanglement-area laws, typical of these systems. Various types of interactions are explored, showing that the presence of bound entanglement is an intrinsic feature of these systems. In the harmonic case, we analytically prove that thermal bound entanglement persists for systems composed by an arbitrary number of particles. Our results strongly suggest the existence of bound entangled states in the macroscopic limit also for spin-1/2 systems.

Area laws and entanglement distillability of thermal states

We study the entanglement distillability properties of thermal states of many-body systems Following the ideas presented in [6, A Ferraro et al., Phys. Rev Lett 100, 080502 (2008)], we first discuss the appearance of bound entanglement in those systems satisfying an entanglement area law Then, we extend these results to other topologies, not necessarily satisfying an entanglement area law We also study whether bound entanglement survives in the macroscopic limit of an infinite number of particles.