205 citations · 3.3k across the 120 of their papers we have counts for
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Quantum dynamics in view of Einstein's theory of Brownian motion
Sumiyoshi Abe, A. K. Rajagopal
A quantum-mechanical version of Einstein's 1905 theory of Brownian motion is presented. Starting from the Hamiltonian dynamics of an isolated composite of objective and environment…
Geometric effect and gauge field in nonequilibrium quantum thermostatistics
Sumiyoshi Abe, Satoshi Kaneko
The concept of work is studied in quantum thermostatistics of a system surrounded by an environment and driven by an external force. It is found that there emerges the gauge theore…
Temperature of nonextensive system: Tsallis entropy as Clausius entropy
Sumiyoshi Abe
The problem of temperature in nonextensive statistical mechanics is studied. Considering the first law of thermodynamics and a "quasi-reversible process", it is shown that the Tsal…
Analytic formula for hidden variable distribution: Complex networks arising from fluctuating random graphs
Sumiyoshi Abe, Stefan Thurner
In analogy to superstatistics, which connects Boltzmann-Gibbs statistical mechanics to its generalizations through temperature fluctuations, complex networks are constructed from t…
Optimality of Natural Time Representation of Complex Time Series
Sumiyoshi Abe, N. V. Sarlis, E. S. Skordas +2
The concept of natural time turned out to be useful in revealing dynamical features behind complex time series including electrocardiograms, ionic current fluctuations of membrane…