The evolutionary dynamics first conceived by Darwin and Wallace, referring to as Darwinian
dynamics in the present paper, has been found to be universally valid in biology. The …

By suitable reformulations, we cast the mathematical frameworks of several well-known
different approaches to the description of nonequilibrium dynamics into a unified formulation …

We first discuss the geometrical construction and the main mathematical features of the
maximum-entropy production/steepest-entropy-ascent nonlinear evolution equation …

We discuss a nonlinear model for relaxation by energy redistribution within an isolated,
closed system composed of noninteracting identical particles with energy levels ei with i= 1 …

When thermodynamics is understood as the science (or art) of constructing effective models
of natural phenomena by choosing a minimal level of description capable of capturing the …

Numerous expressions exist in the scientific literature purporting to represent entropy. Are
they all acceptable? To answer this question, we review the thermodynamic definition of …

The steepest-entropy-ascent quantum thermodynamic (SEAQT) framework is used to model
the decoherence that occurs during the state evolution of two different microscopic …

The current stage of quantum computing technology, called noisy intermediate-scale
quantum technology, is characterized by large errors that prohibit it from being used for real …

By reformulating the steepest-entropy-ascent (SEA) dynamical model for nonequilibrium
thermodynamics in the mathematical language of differential geometry, we compare it with …

This paper presents a study of the nonequilibrium relaxation process of chemically reactive
systems using steepest-entropy-ascent quantum thermodynamics (SEAQT). The trajectory of …