메뉴 건너뛰기




Volumn 12, Issue 2, 1999, Pages 447-474

The Equilibrium Behavior of Reversible Coagulation-Fragmentation Processes

Author keywords

Coagulation fragmentation processes; Interacting particle systems; Reversibility; equilibrium

Indexed keywords


EID: 0033434682     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021682212351     Document Type: Article
Times cited : (59)

References (38)
  • 1
    • 0000668517 scopus 로고
    • Convergence to equilibrium in a system of reacting polymers
    • Aizenman, M., and Bak, T. A. (1979). Convergence to equilibrium in a system of reacting polymers. Commun. Math. Phys. 65, 203-230.
    • (1979) Commun. Math. Phys. , vol.65 , pp. 203-230
    • Aizenman, M.1    Bak, T.A.2
  • 3
    • 0007384887 scopus 로고    scopus 로고
    • Stochastic coalescence. Documenta Mathematica
    • Invited Lectures, Berlin
    • Aldous, D. (1998). Stochastic coalescence. Documenta Mathematica, Proc. Int'l. Congress of Mathematicians, Vol. III, Invited Lectures, Berlin, pp. 205-211.
    • (1998) Proc. Int'l. Congress of Mathematicians , vol.3 , pp. 205-211
    • Aldous, D.1
  • 5
    • 0000120890 scopus 로고
    • The Becker-Döring cluster equations: Basic properties and asymptotic behavior of solutions
    • Ball, J. M., Carr, J., and Penrose, O. (1986). The Becker-Döring cluster equations: Basic properties and asymptotic behavior of solutions. Commun. Math. Phys. 104, 657-692.
    • (1986) Commun. Math. Phys. , vol.104 , pp. 657-692
    • Ball, J.M.1    Carr, J.2    Penrose, O.3
  • 6
    • 34247636053 scopus 로고
    • Coagulation with fragmentation
    • Barrow, J. D. (1981). Coagulation with fragmentation. J. Phys. A: Math. Gen. 14, 729-733.
    • (1981) J. Phys. A: Math. Gen. , vol.14 , pp. 729-733
    • Barrow, J.D.1
  • 7
    • 0032063461 scopus 로고    scopus 로고
    • The load transfer model
    • Beguin, M., Gray, L., and Ycart, B. (1998). The load transfer model. Ann. Appl. Prob. 8(2), 337-353.
    • (1998) Ann. Appl. Prob. , vol.8 , Issue.2 , pp. 337-353
    • Beguin, M.1    Gray, L.2    Ycart, B.3
  • 9
    • 0001140480 scopus 로고
    • A general mathematical survey of the coagulation equation
    • Drake, R. L. (1972). A general mathematical survey of the coagulation equation. Topics in Current Aerosol Res., Part 2, 3, 201-376.
    • (1972) Topics in Current Aerosol Res., Part 2 , vol.3 , pp. 201-376
    • Drake, R.L.1
  • 10
    • 0039966855 scopus 로고
    • The order of singularity of solutions for the stationary coagulation equation
    • Dubovskii, P. B., and Stewart, I. W. (1995). The order of singularity of solutions for the stationary coagulation equation. Appl. Math. Lett. 8, 17-20.
    • (1995) Appl. Math. Lett. , vol.8 , pp. 17-20
    • Dubovskii, P.B.1    Stewart, I.W.2
  • 11
    • 0002758518 scopus 로고
    • Ten lectures on particle systems, Springer, New York
    • Durrett, R. (1995). Ten lectures on particle systems, Springer, New York, Lecture Notes in Math. 1608, 97-201.
    • (1995) Lecture Notes in Math. , vol.1608 , pp. 97-201
    • Durrett, R.1
  • 12
    • 0002513650 scopus 로고
    • Kinetics of clustering in irreversible aggregation
    • Ernst, M. H. (1986). Kinetics of clustering in irreversible aggregation. Fractals in Physics, pp. 289-302.
    • (1986) Fractals in Physics , pp. 289-302
    • Ernst, M.H.1
  • 13
    • 0042283118 scopus 로고
    • Remarks on the law of succession
    • Ewens, W. J. (1995). Remarks on the law of succession. Lecture Notes in Statist. 114, 229-244.
    • (1995) Lecture Notes in Statist. , vol.114 , pp. 229-244
    • Ewens, W.J.1
  • 14
    • 85045721616 scopus 로고    scopus 로고
    • The steady-state distributions of coagulation-fragmentation processes
    • in press
    • Gueron, S. The steady-state distributions of coagulation-fragmentation processes. J. Math. Biol. (in press).
    • J. Math. Biol.
    • Gueron, S.1
  • 15
    • 0028989481 scopus 로고
    • The dynamics of group formation
    • Gueron, S., and Levin, S. A. (1995). The dynamics of group formation. Math. Biosci. 128, 243-264.
    • (1995) Math. Biosci. , vol.128 , pp. 243-264
    • Gueron, S.1    Levin, S.A.2
  • 20
    • 84963009234 scopus 로고
    • On an infinite set of nonlinear differential equations I
    • McLeod, J. H. (1962). On an infinite set of nonlinear differential equations I. Quart. J. Math. Oxford 13(2), 119-128.
    • (1962) Quart. J. Math. Oxford , vol.13 , Issue.2 , pp. 119-128
    • McLeod, J.H.1
  • 22
    • 0009615371 scopus 로고
    • Stochastic models of grouping changes
    • Morgan, B. J. T. (1976). Stochastic models of grouping changes. Adv. Appl. Prob. 8, 30-57.
    • (1976) Adv. Appl. Prob. , vol.8 , pp. 30-57
    • Morgan, B.J.T.1
  • 23
    • 0022854743 scopus 로고
    • Dynamical aspects of minimal grouping; swarms, schools, flocks and herds
    • Okubo, A. (1986). Dynamical aspects of minimal grouping; swarms, schools, flocks and herds. Adv. Biophys. 22, 1-94.
    • (1986) Adv. Biophys. , vol.22 , pp. 1-94
    • Okubo, A.1
  • 24
    • 0001477522 scopus 로고
    • Metastable states for the Becker-Döring cluster equations
    • Penrose, O. (1989). Metastable states for the Becker-Döring cluster equations. Commun. Math. Phys. 124, 515-541.
    • (1989) Commun. Math. Phys. , vol.124 , pp. 515-541
    • Penrose, O.1
  • 25
    • 0031256457 scopus 로고    scopus 로고
    • The Becker-Döring equations at large times and their connection with the LSW theory of coarsening
    • Penrose, O. (1997). The Becker-Döring equations at large times and their connection with the LSW theory of coarsening. J. Statist. Phys. 89(1/2), 305-320.
    • (1997) J. Statist. Phys. , vol.89 , Issue.1-2 , pp. 305-320
    • Penrose, O.1
  • 27
    • 84971160444 scopus 로고
    • An existence theorem for the discrete coagulation-fragmentation equations
    • Spouge, J. L. (1984). An existence theorem for the discrete coagulation-fragmentation equations. Math. Proc. Camb. Phil. Soc. 96, 351-356.
    • (1984) Math. Proc. Camb. Phil. Soc. , vol.96 , pp. 351-356
    • Spouge, J.L.1
  • 29
    • 84988158553 scopus 로고
    • A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels
    • Stewart, I. W. (1989). A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels. Math. Methods Appl. Sci. 11, 627-648.
    • (1989) Math. Methods Appl. Sci. , vol.11 , pp. 627-648
    • Stewart, I.W.1
  • 30
    • 0000861380 scopus 로고    scopus 로고
    • A uniqueness theorem for the coagulation-fragmentation equation
    • Stewart, I. W. A uniqueness theorem for the coagulation-fragmentation equation. Math. Proc. Camb. Phil. Soc. 107, 573-578.
    • Math. Proc. Camb. Phil. Soc. , vol.107 , pp. 573-578
    • Stewart, I.W.1
  • 31
    • 0012990731 scopus 로고
    • Density conservation for a coagulation equation
    • Stewart, I. W. (1991). Density conservation for a coagulation equation. J. Appl. Math. Phys. 42, 746-756.
    • (1991) J. Appl. Math. Phys. , vol.42 , pp. 746-756
    • Stewart, I.W.1
  • 32
    • 0012944367 scopus 로고    scopus 로고
    • Approach to equilibrium for the coagulation fragmentation equation via a Lyapunov functional
    • Stewart, I. W., and Dubovskii, P. B. (1996). Approach to equilibrium for the coagulation fragmentation equation via a Lyapunov functional. Math. Methods. Appl. Sci. 19, 171-184.
    • (1996) Math. Methods. Appl. Sci. , vol.19 , pp. 171-184
    • Stewart, I.W.1    Dubovskii, P.B.2
  • 34
    • 0000745012 scopus 로고
    • Kinetics of reversible polymerization
    • van Dongen, P. G. J., and Ernst, M. H. (1984). Kinetics of reversible polymerization. J. Stat. Phys. 37, 301-324.
    • (1984) J. Stat. Phys. , vol.37 , pp. 301-324
    • Van Dongen, P.G.J.1    Ernst, M.H.2
  • 35
    • 0011241542 scopus 로고
    • Cluster size distribution in irreversible aggregation at large times
    • van Dongen, P. G. V., and Ernst, M. H. (1985). Cluster size distribution in irreversible aggregation at large times. J. Phys. A: Math. Gen. 18, 2779-2793.
    • (1985) J. Phys. A: Math. Gen. , vol.18 , pp. 2779-2793
    • Van Dongen, P.G.V.1    Ernst, M.H.2
  • 36
    • 84966219939 scopus 로고
    • A global existence theorem for Smoluchowski's coagulation equations
    • White, W. H. (1980). A global existence theorem for Smoluchowski's coagulation equations. Proc. Amer. Math. Soc. 80, 273-276.
    • (1980) Proc. Amer. Math. Soc. , vol.80 , pp. 273-276
    • White, W.H.1
  • 38
    • 33748373364 scopus 로고
    • The kinetics of cluster fragmentation and depolymerization
    • Ziff, R. M., and McGrady, A. A. (1985). The kinetics of cluster fragmentation and depolymerization. J. Phys. A 18, 3027-3037.
    • (1985) J. Phys. a , vol.18 , pp. 3027-3037
    • Ziff, R.M.1    McGrady, A.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.