Energy Dissipation and the Stochastic Process in Heavy-Ion Collisions

Matsuzaki, Hisao; Ishii, Chikai; Honda, Toshio; Tsukamoto, Tatsuo

doi:10.1143/ptp.63.2119

Cited by 4 publications

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“…,(3)(4),(3)(4)(5) and(3)(4)(5)(6) lead to the differential equation that describes the time evolution of sex, t), -A(x)AI(t)+ B(x)A12(t)= -dAo/dt-xdAl(t)/dt . (3-7)…”

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confidence: 99%

Linear Surprisal and Stochastic Process. II: Within the Framework of Fokker-Planck Equation

Tsukamoto

Honda

Matsuzaki

et al. 1987

Progress of Theoretical Physics

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Among birth and death processes with discrete spaces only the simple birth, death and immigration on process (SEDI) preserves the linearity of surprisal; that is, if once the surprisal occurs to be a linear function of the observables under consideration it will remain so forever. Among onedimensional diffusion processes we show that "linear surprisal" is preserved only for those obtained as the limiting process of an SED!. The time development of the variance, however, is essentially different between an SEDI and its diffusion process limit; the variance for the latter never decreases unlike the one for the former. Some examples for violation of the linear-surprisal preservation condition are also discussed. § 1. Introduction

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“…,(3)(4),(3)(4)(5) and(3)(4)(5)(6) lead to the differential equation that describes the time evolution of sex, t), -A(x)AI(t)+ B(x)A12(t)= -dAo/dt-xdAl(t)/dt . (3-7)…”

mentioning

confidence: 99%

Linear Surprisal and Stochastic Process. II: Within the Framework of Fokker-Planck Equation

Tsukamoto

Honda

Matsuzaki

et al. 1987

Progress of Theoretical Physics

Self Cite

View full text Add to dashboard Cite

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“…(2) Here, < ) means the ensemble average and D is the diffusion coefficient. But there are some experimental data3)~5) which have two relaxation times and cannot be described by Eq.…”

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confidence: 99%

“…vanishing value for the variance « (2), paral· leI to the work by Rehm,") in which the massfragmentation degree of freedom was considered. Then the variance of TKEL is given by (5£2 of Eq.…”

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confidence: 99%