Analysis of generalized Forchheimer flows of compressible fluids in porous media
This work is focused on the analysis of nonlinear flows of slightly compressible fluids in porous media not adequately described by Darcy's law. We study a class of generalized nonlinear momentum equa...
This work is focused on the analysis of nonlinear flows of slightly compressible fluids in porous media not adequately described by Darcy's law. We study a class of generalized nonlinear momentum equa...
Computation for the canonical measures of a colored disordered lattice gas and spectral gap
In this work we deal with spectral gap and canonical measures related to a model called colored disordered lattice gas. We consider the approach used in the work of Dermoune and Heinrich [“A sma...
In this work we deal with spectral gap and canonical measures related to a model called colored disordered lattice gas. We consider the approach used in the work of Dermoune and Heinrich [“A sma...
A note on the definition of deformed exponential and logarithm functions
J. Math. Phys. 50, 103301 (2009); doi:10.1063/1.3227657
Published 6 October 2009
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The recent generalizations of the Boltzmann–Gibbs statistics mathematically rely on the deformed logarithmic and exponential functions defined through some deformation parameters. In the present work, we investigate whether a deformed logarithmic/exponential map is a bijection from ![[openface R]](http://scitation.aip.org/servlet/GetImg?key=JMAPAQ000050000010103301000001%3A0%3A0%3A28&t=a&d=a)
+/ (set of positive real numbers/all real numbers) to /+, as their undeformed counterparts. We show that their inverse map exists only in some subsets of the aforementioned (co)domains. Furthermore, we present conditions which a generalized deformed function has to satisfy, so that the most important properties of the ordinary functions are preserved. The fulfillment of these conditions permits us to determine the validity interval of the deformation parameters. We finally apply our analysis to Tsallis q-deformed functions and discuss the interval of concavity of the Rényi entropy.
©2009 American Institute of Physics
| History: | Received 26 June 2009; accepted 20 August 2009; published 6 October 2009 |
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http://link.aip.org/link/?JMAPAQ/50/103301/1 |
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REFERENCES (12)
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