Boltzmann-like Entropy in Reliability Theory

Boltzmann-like Entropy in Reliability Theory

We introduce the entropy function in order to study the reliability and repairability of systems. In detail we establish the explicit relationships between reliability and repairability; then we calculate the decay of a system due to its regular running.

. the Boltzmann Entropy and Randomness

A Science-Based Theory of Reliability Founded on Thermodynamic Entropy

Failure data-driven stochastic and probabilistic techniques that underlie reliability analysis of components and structures remain unchanged for decades. The present study relies on a science-based explanation of damage as the source of material failure, and develops an alternative approach to reliability assessment based on the second law of thermodynamics. The common definition of damage, whi...

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 ...

Nonequilibrium entropy limiters in lattice Boltzmann methods

We construct a system of nonequilibrium entropy limiters for the lattice Boltzmann methods (LBM). These limiters erase spurious oscillations without blurring of shocks, and do not affect smooth solutions. In general, they do the same work for LBM as flux limiters do for finite differences, finite volumes and finite elements methods, but for LBM the main idea behind the construction of nonequili...