116 citations · 267 across the 27 of their papers we have counts for
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Relation between the escort average in microcanonical ensemble and the escort average in canonical ensemble in the Tsallis statistics
Masamichi Ishihara
We studied the escort averages in microcanonical and canonical ensembles in the Tsallis statistics of entropic parameter . The quantity is the measure of the deviation…
Thermodynamic quantities of independent harmonic oscillators in microcanonical and canonical ensembles in the Tsallis statistics
Masamichi Ishihara
We study the energy and entropies for independent harmonic oscillators in the microcanonical and the canonical ensembles in the Tsallis classical and the Tsallis quantum statis…
Thermodynamics of the independent harmonic oscillators with different frequencies in the Tsallis statistics
Masamichi Ishihara
We study the thermodynamic quantities in the system of the independent harmonic oscillators with different frequencies in the Tsallis statistics of the entropic parameter (…
Thermodynamic relations and fluctuations in the Tsallis statistics
Masamichi Ishihara
The thermodynamic relations in the Tsallis statistics were studied with physical quantities. An additive entropic variable related to the Tsallis entropy was introduced by assuming…
Derivation of the density operator with quantum analysis for the generalized Gibbs ensemble in quantum statistics
Masamichi Ishihara
We derived the equation of the density operator for generalized entropy and generalized expectation value with quantum analysis when conserved quantities exist. The derived equatio…
Derivation of density operators for generalized entropies with quantum analysis
Masamichi Ishihara
We gave a simple derivation of density operator with the quantum analysis. We dealt with the functional of a density operator, and applied maximum entropy principle. We obtained ea…
Momentum distribution and correlation for a free scalar field in the Tsallis nonextensive statistics based on density operator
Masamichi Ishihara
We derived the expression of the normalized -expectation value based on the density operator to the order with the physical temperature in the Tsallis nonextensive statist…
Phase transition for the system of small volume in the theory in the Tsallis nonextensive statistics
Masamichi Ishihara
We studied the effects of the nonextensivity on the phase transition for the system of small volume in the theory in the Tsallis nonextensive statistics of entropic param…
Application of optimization method to the model in the Tsallis nonextensive statistics
Masamichi Ishihara
We study the effects of the environment described by the Tsallis nonextensive statistics on physical quantities using an optimization method in the case of small deviation from the…
Environmental effects on the model in Tsallis statistics
Masamichi Ishihara
The author studied the effects of the environment described by Tsallis statistics in quantum mechanics, when the deviation from Boltzmann-Gibbs (BG) statistics is small. The $x^{4}…
Suppression of growth by multiplicative white noise in a parametric resonant system
Masamichi Ishihara
The author studied the growth of the amplitude in a Mathieu-like equation with multiplicative white noise. The approximate value of the exponent at the extremum on parametric reson…
Amplification induced by white noise
Masamichi Ishihara
We investigate the amplification of the field induced by white noise. In the present study, we study a stochastic equation which has two parameters, the energy of a fr…