• Corpus ID: 119322499

Steepest entropy ascent paths towards the Max-Ent distribution

@article{Beretta2013SteepestEA,
  title={Steepest entropy ascent paths towards the Max-Ent distribution},
  author={Gian Paolo Beretta},
  journal={arXiv: Mathematical Physics},
  year={2013}
}
  • G. Beretta
  • Published 18 December 2013
  • Computer Science
  • arXiv: Mathematical Physics
With reference to two general probabilistic description frameworks, Information Theory and Classical Statistical Mechanics, we discuss the geometrical reasoning and mathematical formalism leading to the differential equation that defines in probability space the smooth path of Steepest Entropy Ascent (SEA) connecting an arbitrary initial probability distribution to the unique Maximum Entropy (MaxEnt) distribution with the same mean values of a set of constraints. The SEA path is relative to a… 

Figures from this paper

References

SHOWING 1-10 OF 10 REFERENCES

Steepest-Entropy-Ascent and Maximal-Entropy-Production Dynamical Models of Irreversible Relaxation to Stable Equilibrium from Any Non-Equilibrium State. Unified Treatment for Six Non-Equilibrium Frameworks

By suitable reformulations, we review the mathematical frameworks of six different approaches to the description of non-equilibrium dynamics with the purpose to set up a unified formulation of the

Modeling Non-Equilibrium Dynamics of a Discrete Probability Distribution: General Rate Equation for Maximal Entropy Generation in a Maximum-Entropy Landscape with Time-Dependent Constraints

The rate equation is extended to include the case of assigned time-dependences of the constraints and the entropy, such as for modeling non-equilibrium energy and entropy exchanges.

The Minimum Entropy Production Principle

It seems intuitively reasonable that Gibbs' variational principle de­ termining the conditions of heterogeneous equilibrium can be gener­ alized to nonequilibrium conditions. That is, a

On the general equation of motion of quantum thermodynamics and the distinction between quantal and nonquantal uncertainties

A general quantum theory encompassing Mechanics, Thermodynamics and irreversible dynamics is presented in two parts. The first part is concerned exclusively with the description of the states of any

Steepest Entropy Ascent in Quantum Thermodynamics

Quantum Thermodynamics [I] is a unified quantum theory that includes within a single uncontradictory nonstatistical structure the whole of Quantum Mechanics and Classical Equilibrium Thermodynamics,

Mesoscopic non-equilibrium thermodynamics for quantum systems

Quantum thermodynamics. A new equation of motion for a single constituent of matter

SummaryA novel nonlinear equation of motion is proposed for quantum systems consisting of a single elementary constituent of matter. It is satisfied by pure states and by a special class of mixed