205 citations · 3.3k across the 120 of their papers we have counts for
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Nonextensive thermodynamic relations
Sumiyoshi Abe, S. Martinez, F. Pennini +1
The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier,…
Macroscopic thermodynamics of equilibrium characterized by power-law canonical distributions
Sumiyoshi Abe, A. K. Rajagopal
Macroscopic thermodynamics of equilibrium is constructed for systems obeying power-law canonical distributions. With this, the connection between macroscopic thermodynamics and mic…
Rates of convergence of nonextensive statistical distributions to Levy distributions in full and half spaces
Sumiyoshi Abe, A. K. Rajagopal
The Levy-type distributions are derived using the principle of maximum Tsallis nonextensive entropy both in the full and half spaces. The rates of convergence to the exact Levy sta…
Entropic uncertainty relation for power-law wave packets
Sumiyoshi Abe, S. Martinez, F. Pennini +1
For the power-law quantum wave packet in configuration space, the variance of the position observable may be divergent. Accordingly, the information-entropic formulation of the unc…
Ideal gas in nonextensive optimal Lagrange multipliers formalism
Sumiyoshi Abe, S. Martinez, F. Pennini +1
Based on the prescription termed the optimal Lagrange multipliers formalism for extremizing the Tsallis entropy indexed by q, it is shown that key aspects of the treatment of the i…
A problem with the escort distribution representation of nonextensive statistical mechanics
Sumiyoshi Abe
It is pointed out that the Tsallis entropy functional represented in terms of the escort distribution is not concave of the entropic index is less than unity. It is emphasized…