We calculate the entanglement entropy of scalar perturbations due to gravitational non-linearities present in any model canonically-coupled, single-field ekpyrosis. Specifically, we focus on a recent improved ekpyrosis which is able generate scale-invariant power spectrum curvature and waves as well have non-singular bounce an S-brane at end ekpyrotic contraction. By requiring that remians subd...

One-Way Processes An irreversible process is one that cannot be reversed by means of small changes in the environment.The direction in which an irreversible process proceeds is set by the change in entropy S of the system undergoing the process. Entropy S is a state property (or state function) of the system; that is, it depends only on the state of the system and not on the way in which the sy...

Using XMM-Newton observations, we investigate the scaling and structural properties of the ICM entropy in a sample of 10 nearby (z < 0.2) relaxed galaxy clusters in the temperature range 2-9 keV. We derive the local entropy-temperature (S –T ) relation at R = 0.1, 0.2, 0.3 and 0.5R200. The logarithmic slope of the relation is the same within the 1σ error at all scaled radii. However, the intrin...

Recently, we derived an improved universal upper bound to the entropy of a charged system S ≤ π(2Eb − q 2)/¯ h. There was, however, some uncertainty in the value of the numerical factor which multiply the q 2 term. In this paper we remove this uncertainty; we rederive this upper bound from an application of the generalized second law of thermodynamics to a gedanken experiment in which an entrop...

Entropy is the measure of uncertainty in any data and is adopted for maximisation of mutual information in many remote sensing operations. The availability of wide entropy variations motivated us for an investigation over the suitability preference of these versions to specific operations. Methodologies were implemented in Matlab and were enhanced with entropy variations. Evaluation of various ...

Remark that real flows should be non-isentropic. The constancy of the entropy is not compatible once shock waves develop. It is only expected that the amplitude of oscillations for the entropy are of cubic order with respect to those of the flow. There is one notable exception, that of a Chaplygin gas, whose pressure has the form p(ρ, s) = g(s)− f(s)/ρ ; then the entropy remains constant even b...

A (k, ε)-non-malleable extractor is a function nmExt : {0, 1}×{0, 1} → {0, 1} that takes two inputs, a weak source X ∼ {0, 1} of min-entropy k and an independent uniform seed s ∈ {0, 1}, and outputs a bit nmExt(X, s) that is ε-close to uniform, even given the seed s and the value nmExt(X, s′) for an adversarially chosen seed s′ 6= s. Dodis and Wichs (STOC 2009) showed the existence of (k, ε)-no...

Given a function f : {0, 1} n → R, its Fourier Entropy is de ned to be −∑S f̂(S) log f̂(S), where f̂ denotes the Fourier transform of f. This quantity arises in a number of applications, especially in the study of Boolean functions. An outstanding open question is a conjecture of Friedgut and Kalai (1996), called Fourier Entropy In uence (FEI) Conjecture, asserting that the Fourier Entropy of any ...