In many real-world situations, there are constraints on the ways in which a physical system can be manipulated. We investigate entropy production (EP) and extractable work involved bringing from some initial distribution p to final p?, given that set of master equations available driving protocol obeys constraints. first derive general bounds EP work, as well decomposition nonequilibrium free e...

The maximum entropy procedure is an axiomatically derived inference technique, producing density functions from moment constraints. In this paper we consider the implications of a hypothesized neuronal prediction based on the maximum entropy principle and investigate the computational and biological consequences of this hypothesis. The ultimate goal of the paper is to translate, as generally as...

Using the fact that we only observe those modes exit Hubble horizon during inflation, one can calculate entanglement entropy of such long-wavelength perturbations by tracing out unobservable sub-Hubble fluctuations they are coupled with. On requiring this perturbative entropy, which increases with time, obey covariant bound for an accelerating background, find upper on duration inflation. This ...

We investigate the generation of baryon asymmetry from corrections brought about in Friedman equations due to Barrow entropy. In particular, by applying gravity-thermodynamics conjecture one obtains extra terms Friedmann that change Hubble function evolution during radiation-dominated epoch. Hence, even case standard coupling between Ricci scalar and current they can lead a non-zero asymmetry. ...

Directionality in populations of replicating organisms can be parametrized in terms of a statistical concept: evolutionary entropy. This parameter, a measure of the variability in the age of reproducing individuals in a population, is isometric with the macroscopic variable body size. Evolutionary trends in entropy due to mutation and natural selection fall into patterns modulated by ecological...

This paper is concerned with some feasibility issues in mathematical programs with equilibrium constraints (MPECs) where additional joint constraints are present that must be satis ed by the state and design variables of the problems. We introduce su cient conditions that guarantee the feasibility of these MPECs. It turns out that these conditions also guarantee the feasibility of the quadratic...

We adapt the statistical mechanics of the shallow-water equations to the case where the flow is forced at small scales. We assume that the statistics of forcing is encoded in a prior potential vorticity distribution which replaces the specification of the Casimir constraints in the case of freely evolving flows. This determines a generalized entropy functional which is maximized by the coarse-g...

This article extends the non-extensive entropy of Tsallis and uses this entropy to model an energy producing system in an absorbing heat bath. This modified non-extensive entropy is superficially identical to the one proposed by Tsallis, but also incorporates a “hidden” parameter that provides greater flexibility for modeling energy constraints. This modified non-extensive entropy also leads to...

We study the design of entropy{constrained successively reenable scalar quantizers. We propose two algorithms to minimize the average distortion and design such a quantizer. We consider two sets of constraints on the entropy: (i) constraint on the average rate and (ii) constraint on aggregate rates. Both algorithms can be easily extended to design vector quantizers.