A definition of entropy via the Kolmogorov algorithmic complexity is discussed. As examples, we show how the meanfield theory for the Ising model, and the entropy of a perfect gas can be recovered. The connection with computations are pointed out, by paraphrasing the laws of thermodynamics for computers. Also discussed is an approach that may be adopted to develop statistical mechanics using the algorithmic point of view
We extend algorithmic information theory to quantum mechanics, taking a universal semicomputable den...
The thermodynamical concept of entropy was introduced by Clausius in 1865 in order to construct the ...
ABSTRACT. What is the physical significance of entropy? What is the physical origin of irreversibili...
Algorithmic entropy can be viewed as a special case of the entropy studied in statistical mechanics....
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...
Landauer's principle says that, in principle, a computation can be performed without consumption of ...
Landauer's principle says that, in principle, a computation can be performed without consumption of ...
This book is the first one that provides a solid bridge between algorithmic information theory and s...
In this paper, a method of measuring the entropy is presented. Problems related to the entropy and t...
This paper proposes an isomorphism between the number of accessible states of the system including s...
Algorithmic information theory in conjunction with Landauer’s principle can quantify the cost ...
The thermodynamics of computation assumes that computational processes at the molecular level can be...
Beyond its identification with the second law of thermodynamics, entropy is a formidable tool for de...
The thermodynamics of computation assumes that computational processes at the molecular level can be...
We extend algorithmic information theory to quantum mechanics, taking a universal semicomputable den...
The thermodynamical concept of entropy was introduced by Clausius in 1865 in order to construct the ...
ABSTRACT. What is the physical significance of entropy? What is the physical origin of irreversibili...
Algorithmic entropy can be viewed as a special case of the entropy studied in statistical mechanics....
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...
Landauer's principle says that, in principle, a computation can be performed without consumption of ...
Landauer's principle says that, in principle, a computation can be performed without consumption of ...
This book is the first one that provides a solid bridge between algorithmic information theory and s...
In this paper, a method of measuring the entropy is presented. Problems related to the entropy and t...
This paper proposes an isomorphism between the number of accessible states of the system including s...
Algorithmic information theory in conjunction with Landauer’s principle can quantify the cost ...
The thermodynamics of computation assumes that computational processes at the molecular level can be...
Beyond its identification with the second law of thermodynamics, entropy is a formidable tool for de...
The thermodynamics of computation assumes that computational processes at the molecular level can be...
We extend algorithmic information theory to quantum mechanics, taking a universal semicomputable den...
The thermodynamical concept of entropy was introduced by Clausius in 1865 in order to construct the ...
ABSTRACT. What is the physical significance of entropy? What is the physical origin of irreversibili...