Anomalies, entropy, and boundaries

Entropy and topology for manifolds with boundaries

In this work a deep relation between topology and thermodynamical features of manifolds with boundaries is shown. The expression for the Euler characteristic, through the GaussBonnet integral, and the one for the entropy of gravitational instantons are proposed in a form which makes the relation between them selfevident. A generalization of Bekenstein-Hawking formula, in which entropy and Euler...

Maximum Entropy Boundaries in Lattice Boltzmann Method

Vasili Baranau1 1. Department of Chemistry, Philipps-Universität Marburg, Hans-Meerwein-Strasse, 35032 Marburg, Germany Corresponding author: Vasili Baranau, [email protected] Abstract: We propose a universal approach in the framework of the lattice Boltzmann method (LBM) to modeling constant velocity constraints and constant temperature constraints on curved walls, which doesn’t depend ...

Detection, Classification and Visualization of Anomalies using Generalized Entropy Metrics

Relation of water anomalies to the excess entropy.

Using the five-site transferable intermolecular potential (TIP5P) we perform molecular dynamics simulations to investigate the relationship between the excess entropy and anomalies of water. We find that the two-body excess entropy is an ideal quantity to predict the regions of structural, dynamic, and thermodynamic anomalies of water in its pressure-temperature and density-temperature phase di...

A Maximum Entropy Approach to Identifying Sentence Boundaries

We present a trainable model for identifying sentence boundaries in raw text. Given a corpus annotated with sentence boundaries, our model learns to classify each occurrence of . , ?, and / as either a valid or invalid sentence boundary. The training procedure requires no hand-crafted rules, lexica, part-of-speech tags, or domain-specific information. The model can therefore be trained easily o...