We discuss the high density behavior of a system of hard spheres of diameter d on the hypercubic lattice of dimension n, in the limit n → ∞, d → ∞, d/n = δ. The problem is relevant for coding theory, and the best available bounds state that the maximum density of the system falls in the interval 1 ≤ ρVd ≤ exp(nκ(δ)), being κ(δ) > 0 and Vd the volume of a sphere of radius d. We find a solution o...

Negative contribution of entropy (negentropy) of a non-cahotic system, representing the potential of work, is a source of energy that can be transferred to an internal or inserted subsystem. In this case, the system loses order and its entropy increases. The subsystem increases its energy and can perform processes that otherwise would not happen, like, for instance, the nuclear fusion of insert...

Все явления и процессы в природе Мире, идут только двух энергетических направлениях. Или – по градиенту силового поля, с минимальной затратой энергии (энтропия), или против градиента, максимальной (негэнтропия).Графики S-кривых их номограммы характеризуют динамику изменения энтропийных составляющих зависимости от основных параметров процесса. Условием стационарного состояние системы является ра...

We study the relation between the discrete–time version of the flashing ratchet known as Parrondo’s games and a compression technique used very recently with thermal ratchets for evaluating the transfer of information – negentropy – between the Brownian particle and the source of fluctuations. We present some results concerning different versions of Parrondo’s games showing, for each case, a go...

The random matrix ensembles (RME), especially Gaussian random matrix ensembles GRME and Ginibre random matrix ensembles, are applied to following quantum systems: nuclear systems, molecular systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Measures of quantum chaos and quantum integrability with respect to eigenergies of quantum systems are defined and calculat...

Model free exploratory methods available for functional MRI analysis of one subject such as Principal Component Analysis (PCA) and Independent Component Analysis (ICA) are investigated for generalisations when analysing more than one subject. Introducing the subject dimension makes a three-way data: brain, time, subject, and multiway methods are proposed either to optimise the variance (PCA) or...

Many living organisms on Earth are strongly dependent on water, the natural liquid of the planet. A possible reason for that could be the conjecture of Ryoji Takahashi [Phys. Lett. A 141, 15 (1989)] that water microdrops release negentropy through a phase transition to a phase with zero surface tension. Biological cells could make use of such a phase transition in their duty cycle. We comment o...

In a systematic study of hybrid MR time-series with simulated "activation" (contrast-to-noise range 1-10) we investigated the power and compared the ability of the "novelty indices" (NI) kurtosis, negentropy, and 1-lag autocorrelation, to discriminate between potentially interesting ("structured") and uninteresting ("noisy") time-courses (TCs). NIs may be employed as preprocessing tools to focu...

We study the relation between the discrete–time version of the flashing ratchet known as Parrondo's games and a compression technique used very recently with thermal ratchets for evaluating the transfer of information – negentropy – between the Brownian particle and the source of fluctuations. We present some results concerning different versions of Parrondo's games, showing all of them a good ...

We study properties of the work distribution a many-body system driven through quantum phase transition in finite time. focus on non-Gaussianity distribution, which we characterize two quantitative metrics: skewness and negentropy. In particular, Ising model show that duration ramp enhances for size system. By examining characteristics full observe there is clear intermediate regime between sud...