Fidelity metrics for virtual environment simulations based on spatial memory awareness states

This paper describes a methodology based on human judgments of memory awareness states for assessing the simulation fidelity of a virtual environment (VE) in relation to its real scene counterpart. To demonstrate the distinction between task performance-based approaches and additional human evaluation of cognitive awareness states, a photorealistic VE was created. Resulting scenes displayed on a headmounted display (HMD) with or without head tracking and desktop monitor were then compared to the real-world task situation they represented, investigating spatial memory after exposure. Participants described how they completed their spatial recollections by selecting one of four choices of awareness states after retrieval in an initial test and a retention test a week after exposure to the environment. These reflected the level of visual mental imagery involved during retrieval, the familiarity of the recollection and also included guesses, even if informed. Experimental results revealed variations in the distribution of participants’ awareness states across conditions while, in certain cases, task performance failed to reveal any. Experimental conditions that incorporated head tracking were not associated with visually induced recollections. Generally, simulation of task performance does not necessarily lead to simulation of the awareness states involved when completing a memory task. The general premise of this research focuses on how tasks are achieved, rather than only on what is achieved. The extent to which judgments of human memory recall, memory awareness states, and presence in the physical and VE are similar provides a fidelity metric of the simulation in question

Calculation of the hyperfine structure of the superheavy elements Z=119 and Z=120+

The hyperfine structure constants of the lowest $s$ and $p_{1/2}$ states of superheavy elements Z=119 and Z= 120$^+$ are calculated using {\em ab initio} approach. Core polarization and dominating correlation effects are included to all orders. Breit and quantum electrodynamic effects are also considered. Similar calculations for Cs, Fr, Ba$^+$ and Ra$^+$ are used to control the accuracy. The dependence of the hyperfine structure constants on nuclear radius is discussed.Comment: 4 pages, 3 tables, no figure

Farkas-Type Results for Vector-Valued Functions with Applications

The main purpose of this paper consists of providing characterizations of the inclusion of the solution set of a given conic system posed in a real locally convex topological space into a variety of subsets of the same space defined by means of vector-valued functions. These Farkas-type results are used to derive characterizations of the weak solutions of vector optimization problems (including multiobjective and scalar ones), vector variational inequalities, and vector equilibrium problems.This research was partially supported by MINECO of Spain and FEDER of EU, Grant MTM2014-59179-C2-1-P, by the project DP160100854 from the Australian Research Council, and by the project B2015-28-04: “A new approach to some classes of optimization problems” from the Vietnam National University - HCM city, Vietnam

The proto-neutron star inner crust in a multi-component plasma approach

Proto-neutron stars (PNS) are born hot, with temperatures exceeding a few times $10^{10}$ K. In these conditions, the PNS crust is expected to be made of a Coulomb liquid composed of an ensemble of different nuclear species. We perform a study of the beta-equilibrated PNS crust in the liquid phase in a self-consistent multi-component plasma (MCP) approach, thus allowing us to consistently calculate the impurity parameter, often taken as a free parameter in cooling simulations. We developed a self-consistent MCP approach at finite temperature using a compressible liquid-drop description of the ions, with surface parameters adjusted to reproduce experimental masses. The treatment of the ion centre-of-mass motion was included through a translational free-energy term accounting for in-medium effects. The results of self-consistent MCP calculations are systematically compared with those performed in a perturbative and in the one-component plasma treatment. We show that the inclusion of non-linear mixing terms arising from the ion centre-of-mass motion leads to a breakdown of the ensemble equivalence between the one-component and MCP approach. Our findings illustrate that the abundance of light nuclei becomes important, eventually dominating the distribution at higher density and temperature. This is reflected in the impurity parameter, which, in turn, may have a potential impact on NS cooling. For practical applications, we also provide a fitting formula for the impurity parameter in the PNS inner crust. Our results obtained within a self-consistent MCP approach show important differences in the prediction of the PNS composition with respect to those obtained with a one-component or a perturbative MCP approximation, particularly in the deeper region of the crust. This highlights the importance of a full, self-consistent MCP calculation for reliable predictions of the PNS crust composition.Comment: 16 pages, 15 figures, accepted for publication in Astronomy and Astrophysic

Light clusters in the liquid proto-neutron star inner crust

Being born hot from core-collapse supernova, the crust of the proto-neutron star is expected to be made of a Coulomb liquid and composed of an ensemble of different nuclear species. In this work, we study the beta-equilibrated proto-neutron-star crust in the liquid phase in a self-consistent multi-component approach, employing a compressible liquid-drop description of the ions including the ion centre-of-mass motion. Particular care is also devoted to the calculation of the rearrangement term, thus ensuring thermodynamic consistency. We compare the results of the multi-component plasma calculations with those obtained within a one-component (single-nucleus) approach, showing that important differences arise between the predictions of the two treatments. In particular, the abundances of helium clusters become important using a complete multi-component plasma approach, and eventually dominate the whole distribution at higher temperature in the crust.Comment: Submitted to the European Physical Journal A (EPJA) for the Topical Collection "The Nuclear Many-Body Problem