173 citations · 537 across the 27 of their papers we have counts for
27 papers
On the Kaniadakis distributions applied in statistical physics and natural sciences
Tatsuaki Wada, Antonio M. Scarfone
Constitutive relations are fundamental and essential to characterize physical systems. By utilizing the -deformed functions, some constitutive relations are generalized. We here…
A Weyl geometric approach to the gradient-flow equations in information geometry
Tatsuaki Wada
The gradient-flow equations with respect to the potential functions in information geometry are reconsidered from the perspective of the Weyl integrable geometry. The pre-geodesic…
Consistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average
A. M. Scarfone, H. Matsuzoe, T. Wada
We show the robustness of the structure of Legendre transform in thermodynamics against the replacement of the standard linear average with the Kolmogorov-Nagumo nonlinear average…
A short note on basic of information geometry from thermodynamics and thermostatistics
Tatsuaki Wada
This is a short note for some basics of information geometry from thermodynamics and Callen's themostatistics.
Huygens' equations and the gradient-flow equations in information geometry
Tatsuaki Wada, Antonio M. Scarfone, Hiroshi Matsuzoe
We revisit the relation between the gradient-flow equations and Hamilton's equations in information geometry. By regarding the gradient-flow equations as Huygens' equations in geom…
An eikonal equation approach to thermodynamics and the gradient flows in information geometry
Tatsuaki Wada, Antonio M. Scarfone, Hiroshi Matsuzoe
We can incorporate a "time" evolution into thermodynamics as a Hamilton-Jacobi dynamics. A set of the equations of states in thermodynamics is considered as the generalized eikonal…