Beyond its identification with the second law of thermodynamics, entropy is a formidable tool for describing systems in their relationship with their environment. This book proposes to go through some of these situations where the formulation of entropy, and more precisely, the production of entropy in out-of-equilibrium processes, makes it possible to forge an approach to the behavior of very different systems. Whether for dimensioning structures; influencing parameter variability; or optimizing power, efficiency, or waste heat reduction, simulations based on entropy production offer a tool that is both compact and reliable. In the case of systems marked by complexity, it appears to be the only way. In that sense, realistic optimization ca...
In this thesis we develop an approach to nonequilibrium quantum-statistical mechanics which is based...
We present the state of the art on the modern mathematical methods of exploiting the entropy princip...
This paper proposes an isomorphism between the number of accessible states of the system including s...
A definition of entropy via the Kolmogorov algorithmic complexity is discussed. As examples, we show...
The rate of entropy production by a stochastic process quantifies how far it is from thermodynamic e...
In order to measure and quantify the complex behavior of real-world systems, either novel mathematic...
In the last two decades, the understanding of complex dynamical systems underwent important conceptu...
The principal methods for the definition of thermodynamic entropy are discussed with special referen...
Algorithmic entropy can be viewed as a special case of the entropy studied in statistical mechanics....
summary:We overview the notion of entropy in thermodynamics. We start from the smooth case using dif...
summary:We overview the notion of entropy in thermodynamics. We start from the smooth case using dif...
The principal methods for the definition of thermodynamic entropy are discussed with special referen...
Entropy is ubiquitous in physics, and it plays important roles in numerous other disciplines ranging...
Entropy is ubiquitous in physics, and it plays important roles in numerous other disciplines ranging...
This paper discusses the way that energy and entropy can be regarded as storage functions with respe...
In this thesis we develop an approach to nonequilibrium quantum-statistical mechanics which is based...
We present the state of the art on the modern mathematical methods of exploiting the entropy princip...
This paper proposes an isomorphism between the number of accessible states of the system including s...
A definition of entropy via the Kolmogorov algorithmic complexity is discussed. As examples, we show...
The rate of entropy production by a stochastic process quantifies how far it is from thermodynamic e...
In order to measure and quantify the complex behavior of real-world systems, either novel mathematic...
In the last two decades, the understanding of complex dynamical systems underwent important conceptu...
The principal methods for the definition of thermodynamic entropy are discussed with special referen...
Algorithmic entropy can be viewed as a special case of the entropy studied in statistical mechanics....
summary:We overview the notion of entropy in thermodynamics. We start from the smooth case using dif...
summary:We overview the notion of entropy in thermodynamics. We start from the smooth case using dif...
The principal methods for the definition of thermodynamic entropy are discussed with special referen...
Entropy is ubiquitous in physics, and it plays important roles in numerous other disciplines ranging...
Entropy is ubiquitous in physics, and it plays important roles in numerous other disciplines ranging...
This paper discusses the way that energy and entropy can be regarded as storage functions with respe...
In this thesis we develop an approach to nonequilibrium quantum-statistical mechanics which is based...
We present the state of the art on the modern mathematical methods of exploiting the entropy princip...
This paper proposes an isomorphism between the number of accessible states of the system including s...