메뉴 건너뛰기




Volumn 284, Issue 1-4, 2000, Pages 299-308

Tsallis and Rényi entropies in fractional diffusion and entropy production

Author keywords

Entropy production; Fractional diffusion equation; Irreversible processes; R nyi entropy; Tsallis entropy

Indexed keywords

CURVE FITTING; ENTROPY; INTEGRAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY DENSITY FUNCTION; WAVE PROPAGATION;

EID: 0034274113     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00174-6     Document Type: Article
Times cited : (46)

References (14)
  • 2
    • 26744431713 scopus 로고
    • Analytical solutions for diffusion on fractal objects
    • B. O'Shaughnessy, I. Proccacia, Analytical solutions for diffusion on fractal objects, Phys. Rev. Lett. 54 (1985) 455-458.
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 455-458
    • O'Shaughnessy, B.1    Proccacia, I.2
  • 3
    • 0001553919 scopus 로고
    • Fractional diffusion and wave equation
    • W.R. Schneider, W. Wyss, Fractional diffusion and wave equation, J. Math. Phys. 30 (1989) 134-144.
    • (1989) J. Math. Phys. , vol.30 , pp. 134-144
    • Schneider, W.R.1    Wyss, W.2
  • 4
    • 43949160695 scopus 로고
    • Fractional model equation for anomalous diffusion
    • R. Metzler, W.G. Glöcke, T.F. Nonnenmacher, Fractional model equation for anomalous diffusion, Physica A 211 (1994) 13-24.
    • (1994) Physica a , vol.211 , pp. 13-24
    • Metzler, R.1    Glöcke, W.G.2    Nonnenmacher, T.F.3
  • 5
    • 21344453247 scopus 로고    scopus 로고
    • Non-equilibrium thermodynamics and anomalous diffusion
    • A. Compte, D. Jou, Non-equilibrium thermodynamics and anomalous diffusion, J. Phys. A 29 (1996) 4321-4329.
    • (1996) J. Phys. a , vol.29 , pp. 4321-4329
    • Compte, A.1    Jou, D.2
  • 6
    • 0038874109 scopus 로고    scopus 로고
    • Fractional differential equations and initial value problems
    • M. Davison, C. Essex, Fractional differential equations and initial value problems, Math. Scientist 23 (1998) 108-116.
    • (1998) Math. Scientist , vol.23 , pp. 108-116
    • Davison, M.1    Essex, C.2
  • 7
    • 30244506293 scopus 로고
    • Stochastic measures in nonequilibrium thermodynamics
    • F. Schlögl, Stochastic measures in nonequilibrium thermodynamics, Phys. Rep. 62 (1980) 267-380.
    • (1980) Phys. Rep. , vol.62 , pp. 267-380
    • Schlögl, F.1
  • 8
    • 33646516485 scopus 로고
    • Possible generalization of Boltzmann-Gibbs statistics
    • C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics, J. Stat. Phys. 52 (1988) 479-487.
    • (1988) J. Stat. Phys. , vol.52 , pp. 479-487
    • Tsallis, C.1
  • 9
    • 0032337028 scopus 로고    scopus 로고
    • Information gain within nonextensive thermostatistics
    • L. Borland, A.R. Plastino, C. Tsallis, Information gain within nonextensive thermostatistics, J. Math. Phys. 39 (1998) 6490-6501.
    • (1998) J. Math. Phys. , vol.39 , pp. 6490-6501
    • Borland, L.1    Plastino, A.R.2    Tsallis, C.3
  • 10
    • 0008892140 scopus 로고
    • Stellar polytropes and Tsallis entropy
    • A.R. Plastino, A. Plastino, Stellar polytropes and Tsallis entropy, Phys. Lett. A 174 (1993) 384-386.
    • (1993) Phys. Lett. a , vol.174 , pp. 384-386
    • Plastino, A.R.1    Plastino, A.2
  • 11
    • 0000557971 scopus 로고    scopus 로고
    • Generalized entropy-based criterion for consistent testing
    • C. Tsallis, Generalized entropy-based criterion for consistent testing, Phys. Rev. E 58 (1998) 1442-1445.
    • (1998) Phys. Rev. E , vol.58 , pp. 1442-1445
    • Tsallis, C.1
  • 12
    • 0000681124 scopus 로고
    • On the irreversible nature of the Tsallis and Rényi entropies
    • A.M. Mariz, On the irreversible nature of the Tsallis and Rényi entropies, Phys. Lett. A 165 (1992) 409-411.
    • (1992) Phys. Lett. a , vol.165 , pp. 409-411
    • Mariz, A.M.1
  • 13
    • 0002038577 scopus 로고
    • H-theorems for the Tsallis and Rényi entropies
    • J.D. Ramshaw, H-theorems for the Tsallis and Rényi entropies, Phys. Lett. A 175 (1993) 169-170.
    • (1993) Phys. Lett. a , vol.175 , pp. 169-170
    • Ramshaw, J.D.1
  • 14
    • 6144281107 scopus 로고
    • Irreversibility and generalized entropies
    • J.D. Ramshaw, Irreversibility and generalized entropies, Phys. Lett. A 175 (1993) 171-172.
    • (1993) Phys. Lett. a , vol.175 , pp. 171-172
    • Ramshaw, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.