Showing 1 - 10 of 3,515
An increasing number of natural phenomena appear to deviate from standard statistical distributions. It has kindled interest in alternative formulation of statistical mechanics which should preserve most of the mathematical structures of the Boltzmann–Gibbs theory, while reproducing the...
Persistent link: https://www.econbiz.de/10011062279
We show that simple diffusive systems, such as the Lorentz gas and multibaker maps, are perfectly compatible with the laws of irreversible thermodynamics, despite the fact that the moving particles, or their equivalents, in these models do not interact with each other, and that the dynamics...
Persistent link: https://www.econbiz.de/10010590819
We analyze some models of nonequilibrium systems proposed in the past decade which derive the laws of irreversible thermodynamics from deterministic dynamics. We find that these models do not posses the crucial property of local thermodynamic equilibrium, since they represent noninteracting...
Persistent link: https://www.econbiz.de/10010873161
to be at the origin of the positive entropy production of nonequilibrium thermodynamics. Furthermore, large … dynamics such as the Lyapunov exponents, the Kolmogorov–Sinai entropy per unit time, and the fractal dimensions. We show that … new formula relating the entropy production to the difference between an entropy per unit time of Kolmogorov–Sinai type …
Persistent link: https://www.econbiz.de/10010590395
The current Special Issue brought out the newest trends in Econophysics that have made use of the most recent available tools, such as Big Data. The emphasis of the reprint is on deciphering the effects of current world events, such as the repercussions of the recent war conflicts, the oil and...
Persistent link: https://www.econbiz.de/10015324883
We discuss bounds on the values adopted by the generalized statistical complexity measures [M.T. Martin et al., Phys. Lett. A 311 (2003) 126; P.W. Lamberti et al., Physica A 334 (2004) 119] introduced by López Ruiz et al. [Phys. Lett. A 209 (1995) 321] and Shiner et al. [Phys. Rev. E 59 (1999)...
Persistent link: https://www.econbiz.de/10011063250
Information entropy is applied to the analysis of time series generated by dynamical systems. Complexity of a temporal … trajectory manifold, and the entropy of the globally linearized manifold. When the entropies are Tsallis entropies, the …
Persistent link: https://www.econbiz.de/10011064665
The two notions of temporal and thermodynamic irreversibility are distinguished. It is shown that the irreversibility … concept of Arrow-Debreu, while establishing temporal irreversibility, does not encompass thermodynamic irreversibility. This … means, the standard irreversibility concept of production theory is too weak to be in full accordance with the laws of …
Persistent link: https://www.econbiz.de/10005596756
approach of irreversibility. They allow us to evaluate both the technological level and the environmental impact of the …
Persistent link: https://www.econbiz.de/10012651926
concept of entropy. We use Boltzmann's approach of the degree of order to give an illustration of the entropy concept. We then …
Persistent link: https://www.econbiz.de/10014374449