Simple equation of state for hard disks on the hyperbolic plane

A simple equation of state for hard disks on the hyperbolic plane is proposed. It yields the exact second virial coefficient and contains a pole at the highest possible packing. A comparison with another very recent theoretical proposal and simulation data is presented.Comment: 3 pages, 1 figur

On the radial distribution function of a hard-sphere fluid

Two related approaches, one fairly recent [A. Trokhymchuk et al., J. Chem. Phys. 123, 024501 (2005)] and the other one introduced fifteen years ago [S. B. Yuste and A. Santos, Phys. Rev. A 43, 5418 (1991)], for the derivation of analytical forms of the radial distribution function of a fluid of hard spheres are compared. While they share similar starting philosophy, the first one involves the determination of eleven parameters while the second is a simple extension of the solution of the Percus-Yevick equation. It is found that the {second} approach has a better global accuracy and the further asset of counting already with a successful generalization to mixtures of hard spheres and other related systems.Comment: 3 pages, 1 figure; v2: slightly shortened, figure changed, to be published in JC

Modeling the spectrum of gravitational waves in the primordial Universe

Recent observations from type Ia Supernovae and from cosmic microwave background (CMB) anisotropies have revealed that most of the matter of the Universe interacts in a repulsive manner, composing the so-called dark energy constituent of the Universe. The analysis of cosmic gravitational waves (GW) represents, besides the CMB temperature and polarization anisotropies, an additional approach in the determination of parameters that may constrain the dark energy models and their consistence. In recent work, a generalized Chaplygin gas model was considered in a flat universe and the corresponding spectrum of gravitational waves was obtained. The present work adds a massless gas component to that model and the new spectrum is compared to the previous one. The Chaplygin gas is also used to simulate a $\Lambda$-CDM model by means of a particular combination of parameters so that the Chaplygin gas and the $\Lambda$-CDM models can be easily distinguished in the theoretical scenarios here established. The lack of direct observational data is partialy solved when the signature of the GW on the CMB spectra is determined.Comment: Proc. of the Conference on Magnetic Fields in the Universe: from laboratories and stars to primordial structures, AIP(NY), eds. E. M. de Gouveia Dal Pino, G. Lugones & A. Lazarian (2005), in press. (8 pages, 11 figures

Comment on "Theory and computer simulation for the equation of state of additive hard-disk fluid mixtures"

A flaw in the comparison between two different theoretical equations of state for a binary mixture of additive hard disks and Monte Carlo results, as recently reported in C. Barrio and J. R. Solana, Phys. Rev. E 63, 011201 (2001), is pointed out. It is found that both proposals, which require the equation of state of the single component system as input, lead to comparable accuracy but the one advocated by us [A. Santos, S. B. Yuste, and M. L\'{o}pez de Haro, Mol. Phys. 96, 1 (1999)] is simpler and complies with the exact limit in which the small disks are point particles.Comment: 4 pages, including 1 figur

Caracterização e avaliação de acessos de coqueiro-anão.

O presente trabalho teve como objetivo caracterizar e avaliar acessos de coqueiro-anão, validando os descritores mínimos da lista proposta pela UPOV e identificar cultivares exemplo. O trabalho foi realizado no Campo Experimental de Itaporanga d’Ajuda, no Banco de Germoplasma de Coco, avaliando os acessos anão-verde-do-Brasil-de-Jiqui (AVeBrJ), anão-vermelho-de-Gramame (AVG) e anão-amarelo-de-Gramame (AAG) por meio de descritores morfológicos e agronômicos. Os acessos foram implantados em 2003, no delineamento experimental em blocos casualizados, com cinco repetições, com parcela composta por 16 plantas, no espaçamento de 7,5 x 7,5 x7,5 m. Os acessos foram avaliados utilizando a lista descritiva proposta pela UPOV, em comparação com a lista do (IPGRI, 1995) utilizando os seguintes descritores: altura do estipe (AE), circunferência do estipe a 20cm (CE20), comprimento da folha (CPE), largura da folha (LPE), espessura do pecíolo (EPE), comprimento da ráquis (CF) e número total de folíolos (NFOL). Foi possível avaliar, de forma preliminar, os descritores propostos. Observou-se valores diferenciais entre os acessos mas, ainda não é possível estabelecer diferenciação e identificação de cultivares exemplos apenas com base nos descritores relatados