Fluids with power-law repulsion: Hyperuniformity and energy fluctuations.

We revisit the equilibrium statistical mechanics of a classical fluid of point-like particles with repulsive power-law pair interactions, focusing on density and energy fluctuations at finite temperature. Such long-range interactions, decaying with inter-particle distanceas1/rsindimensions, are known to fall into two qualitatively different categories. For < ('strongly' long-range interactions) there are screening of correlations and suppression of large-wavelength density fluctuations (hyperuniformity).

Universal Relation between Entropy and Kinetics.

Relating thermodynamic and kinetic properties is a conceptual challenge with many practical benefits. Here, based on first principles, we derive a rigorous inequality relating the entropy and the dynamic propagator of particle configurations. It is universal and applicable to steady states arbitrarily far from thermodynamic equilibrium.

A Case Report of Familial Mayer-Rokitansky-Küster-Hauser Syndrome as Part of the Phenotypic Spectrum of the 2q37 Deletion.

We performed a genetic investigation into the case of an inherited Mayer-Rokitansky-Küster-Hauser (MRKH) syndrome. Our patients were an adolescent and her mother, both with MRKH syndrome. The delivery of a biological offspring was achieved via a gestational carrier.

Detecting and characterizing phase transitions in active matter using entropy.

A major challenge in the study of active matter lies in quantitative characterization of phases and transitions between them. We show how the entropy of a collection of active objects can be used to classify regimes and spatial patterns in their collective behavior. Specifically, we estimate the contributions to the total entropy from correlations between the degrees of freedom of position and orientation.

Resolving entropy contributions in nonequilibrium transitions.

We derive a functional for the entropy contributed by any microscopic degrees of freedom as arising from their measurable pair correlations. Applicable both in and out of equilibrium, this functional yields the maximum entropy which a system can have given a certain correlation function. When applied to different correlations, the method allows us to identify the degrees of freedom governing a certain physical regime, thus capturing and characterizing dynamic transitions.