메뉴 건너뛰기




Volumn 92, Issue 3-4, 1998, Pages 651-658

Stationary coverage of a stochastic adsorption-desorption process with diffusional relaxation

Author keywords

Dimers; Stationary state; Stochastic lattice gas

Indexed keywords


EID: 0032136246     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023044822735     Document Type: Article
Times cited : (8)

References (21)
  • 1
    • 34250944089 scopus 로고
    • Zur theorie der markoffschen ketten
    • A. Kolmogoroff, Zur Theorie der Markoffschen Ketten, Math. Ann. 112:155 (1936).
    • (1936) Math. Ann. , vol.112 , pp. 155
    • Kolmogoroff, A.1
  • 2
    • 85010985264 scopus 로고
    • Stochastic processes in physics and chemistry
    • North-Holland, Amsterdam
    • N. G. van Kampen, Stochastic Processes in Physics and Chemistry, Rev. and Enl. Ed. (North-Holland, Amsterdam, 1992).
    • (1992) Rev. and Enl. Ed.
    • Van Kampen, N.G.1
  • 3
    • 0001625507 scopus 로고
    • Monte Carlo calculation of renormalized coupling parameters
    • R. H. Swendsen, Monte Carlo calculation of renormalized coupling parameters, Phys. Rev. Lett. 52:1165 (1984); Monte Carlo calculation of renormalized coupling parameters. I. d=2 Ising models, Phys. Rev. B 30:3866 (1984); Monte Carlo calculation of renormalized coupling parameters. II. d=3 Ising models, Phys. Rev. B 30:3875 (1984); J. H. Berry et al., Exact solutions for perpendicular susceptibilities of kagomé and decorated-kagomé Ising models, Phys. Rev. B 35:8601 (1987); Exact solutions for Ising-model even-number correlations on planar lattices, Phys. Rev. B 37:5193 (1988); D. A. Browne and P. Kleban, Equilibrium statistical mechanics for kinetic phase transitions, Phys. Rev. A 40:1615 (1989); M. J. Oliveira, Coupling constants for stochastic spin systems, Physica A 203:13 (1994).
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 1165
    • Swendsen, R.H.1
  • 4
    • 4244181881 scopus 로고
    • Monte Carlo calculation of renormalized coupling parameters. I. D=2 Ising models
    • R. H. Swendsen, Monte Carlo calculation of renormalized coupling parameters, Phys. Rev. Lett. 52:1165 (1984); Monte Carlo calculation of renormalized coupling parameters. I. d=2 Ising models, Phys. Rev. B 30:3866 (1984); Monte Carlo calculation of renormalized coupling parameters. II. d=3 Ising models, Phys. Rev. B 30:3875 (1984); J. H. Berry et al., Exact solutions for perpendicular susceptibilities of kagomé and decorated-kagomé Ising models, Phys. Rev. B 35:8601 (1987); Exact solutions for Ising-model even-number correlations on planar lattices, Phys. Rev. B 37:5193 (1988); D. A. Browne and P. Kleban, Equilibrium statistical mechanics for kinetic phase transitions, Phys. Rev. A 40:1615 (1989); M. J. Oliveira, Coupling constants for stochastic spin systems, Physica A 203:13 (1994).
    • (1984) Phys. Rev. B , vol.30 , pp. 3866
  • 5
    • 0040543276 scopus 로고
    • Monte Carlo calculation of renormalized coupling parameters. II. D=3 Ising models
    • R. H. Swendsen, Monte Carlo calculation of renormalized coupling parameters, Phys. Rev. Lett. 52:1165 (1984); Monte Carlo calculation of renormalized coupling parameters. I. d=2 Ising models, Phys. Rev. B 30:3866 (1984); Monte Carlo calculation of renormalized coupling parameters. II. d=3 Ising models, Phys. Rev. B 30:3875 (1984); J. H. Berry et al., Exact solutions for perpendicular susceptibilities of kagomé and decorated-kagomé Ising models, Phys. Rev. B 35:8601 (1987); Exact solutions for Ising-model even-number correlations on planar lattices, Phys. Rev. B 37:5193 (1988); D. A. Browne and P. Kleban, Equilibrium statistical mechanics for kinetic phase transitions, Phys. Rev. A 40:1615 (1989); M. J. Oliveira, Coupling constants for stochastic spin systems, Physica A 203:13 (1994).
    • (1984) Phys. Rev. B , vol.30 , pp. 3875
  • 6
    • 0000095742 scopus 로고
    • Exact solutions for perpendicular susceptibilities of kagomé and decorated-kagomé Ising models
    • R. H. Swendsen, Monte Carlo calculation of renormalized coupling parameters, Phys. Rev. Lett. 52:1165 (1984); Monte Carlo calculation of renormalized coupling parameters. I. d=2 Ising models, Phys. Rev. B 30:3866 (1984); Monte Carlo calculation of renormalized coupling parameters. II. d=3 Ising models, Phys. Rev. B 30:3875 (1984); J. H. Berry et al., Exact solutions for perpendicular susceptibilities of kagomé and decorated-kagomé Ising models, Phys. Rev. B 35:8601 (1987); Exact solutions for Ising-model even-number correlations on planar lattices, Phys. Rev. B 37:5193 (1988); D. A. Browne and P. Kleban, Equilibrium statistical mechanics for kinetic phase transitions, Phys. Rev. A 40:1615 (1989); M. J. Oliveira, Coupling constants for stochastic spin systems, Physica A 203:13 (1994).
    • (1987) Phys. Rev. B , vol.35 , pp. 8601
    • Berry, J.H.1
  • 7
    • 4243534960 scopus 로고
    • Exact solutions for Ising-model even-number correlations on planar lattices
    • R. H. Swendsen, Monte Carlo calculation of renormalized coupling parameters, Phys. Rev. Lett. 52:1165 (1984); Monte Carlo calculation of renormalized coupling parameters. I. d=2 Ising models, Phys. Rev. B 30:3866 (1984); Monte Carlo calculation of renormalized coupling parameters. II. d=3 Ising models, Phys. Rev. B 30:3875 (1984); J. H. Berry et al., Exact solutions for perpendicular susceptibilities of kagomé and decorated-kagomé Ising models, Phys. Rev. B 35:8601 (1987); Exact solutions for Ising-model even-number correlations on planar lattices, Phys. Rev. B 37:5193 (1988); D. A. Browne and P. Kleban, Equilibrium statistical mechanics for kinetic phase transitions, Phys. Rev. A 40:1615 (1989); M. J. Oliveira, Coupling constants for stochastic spin systems, Physica A 203:13 (1994).
    • (1988) Phys. Rev. B , vol.37 , pp. 5193
  • 8
    • 0000958710 scopus 로고
    • Equilibrium statistical mechanics for kinetic phase transitions
    • R. H. Swendsen, Monte Carlo calculation of renormalized coupling parameters, Phys. Rev. Lett. 52:1165 (1984); Monte Carlo calculation of renormalized coupling parameters. I. d=2 Ising models, Phys. Rev. B 30:3866 (1984); Monte Carlo calculation of renormalized coupling parameters. II. d=3 Ising models, Phys. Rev. B 30:3875 (1984); J. H. Berry et al., Exact solutions for perpendicular susceptibilities of kagomé and decorated-kagomé Ising models, Phys. Rev. B 35:8601 (1987); Exact solutions for Ising-model even-number correlations on planar lattices, Phys. Rev. B 37:5193 (1988); D. A. Browne and P. Kleban, Equilibrium statistical mechanics for kinetic phase transitions, Phys. Rev. A 40:1615 (1989); M. J. Oliveira, Coupling constants for stochastic spin systems, Physica A 203:13 (1994).
    • (1989) Phys. Rev. A , vol.40 , pp. 1615
    • Browne, D.A.1    Kleban, P.2
  • 9
    • 25544457432 scopus 로고
    • Coupling constants for stochastic spin systems
    • R. H. Swendsen, Monte Carlo calculation of renormalized coupling parameters, Phys. Rev. Lett. 52:1165 (1984); Monte Carlo calculation of renormalized coupling parameters. I. d=2 Ising models, Phys. Rev. B 30:3866 (1984); Monte Carlo calculation of renormalized coupling parameters. II. d=3 Ising models, Phys. Rev. B 30:3875 (1984); J. H. Berry et al., Exact solutions for perpendicular susceptibilities of kagomé and decorated-kagomé Ising models, Phys. Rev. B 35:8601 (1987); Exact solutions for Ising-model even-number correlations on planar lattices, Phys. Rev. B 37:5193 (1988); D. A. Browne and P. Kleban, Equilibrium statistical mechanics for kinetic phase transitions, Phys. Rev. A 40:1615 (1989); M. J. Oliveira, Coupling constants for stochastic spin systems, Physica A 203:13 (1994).
    • (1994) Physica A , vol.203 , pp. 13
    • Oliveira, M.J.1
  • 10
    • 0001563758 scopus 로고
    • Effective Hamiltonian description of nonequilibrium spin systems
    • P. L. Garrido and J. Marro, Effective Hamiltonian description of nonequilibrium spin systems, Phys. Rev. Lett. 62:1929 (1989).
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 1929
    • Garrido, P.L.1    Marro, J.2
  • 11
    • 0001754406 scopus 로고
    • Exact solutions for stochastic adsorption-desorption models and catalytic surface processes
    • M. D. Grynberg, T. J. Newman, and R. B. Stinchcombe, Exact solutions for stochastic adsorption-desorption models and catalytic surface processes, Phys. Rev. E 50:957 (1994).
    • (1994) Phys. Rev. E , vol.50 , pp. 957
    • Grynberg, M.D.1    Newman, T.J.2    Stinchcombe, R.B.3
  • 12
    • 3342916092 scopus 로고
    • Dynamic correlation functions of adsorption stochastic systems with diffusional relaxation
    • M. D. Grynberg and R. B. Stinchcombe, Dynamic correlation functions of adsorption stochastic systems with diffusional relaxation, Phys. Rev. Lett. 74:1242 (1995); Dynamics of adsorption-desorption processes as a soluble problem of many fermions, Phys. Rev. E 52:6013 (1995); Autocorrelation functions of driven reaction-diffusion processes, Phys. Rev. Lett. 76:851 (1996).
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1242
    • Grynberg, M.D.1    Stinchcombe, R.B.2
  • 13
    • 29444431527 scopus 로고
    • Dynamics of adsorption-desorption processes as a soluble problem of many fermions
    • M. D. Grynberg and R. B. Stinchcombe, Dynamic correlation functions of adsorption stochastic systems with diffusional relaxation, Phys. Rev. Lett. 74:1242 (1995); Dynamics of adsorption-desorption processes as a soluble problem of many fermions, Phys. Rev. E 52:6013 (1995); Autocorrelation functions of driven reaction-diffusion processes, Phys. Rev. Lett. 76:851 (1996).
    • (1995) Phys. Rev. E , vol.52 , pp. 6013
  • 14
    • 0000946929 scopus 로고    scopus 로고
    • Autocorrelation functions of driven reaction-diffusion processes
    • M. D. Grynberg and R. B. Stinchcombe, Dynamic correlation functions of adsorption stochastic systems with diffusional relaxation, Phys. Rev. Lett. 74:1242 (1995); Dynamics of adsorption-desorption processes as a soluble problem of many fermions, Phys. Rev. E 52:6013 (1995); Autocorrelation functions of driven reaction-diffusion processes, Phys. Rev. Lett. 76:851 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 851
  • 15
    • 0000906816 scopus 로고
    • Diffusion-annihilation in the presence of a driving field
    • G. M. Schütz, Diffusion-annihilation in the presence of a driving field, J. Phys. A: Math. Gen. 28:3405 (1995); Nonequilibrium correlation functions in the A + A → ∅ system, Phys. Rev. E 53:1475 (1996).
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 3405
    • Schütz, G.M.1
  • 16
    • 4243898420 scopus 로고    scopus 로고
    • G. M. Schütz, Diffusion-annihilation in the presence of a driving field, J. Phys. A: Math. Gen. 28:3405 (1995); Nonequilibrium correlation functions in the A + A → ∅ system, Phys. Rev. E 53:1475 (1996).
    • (1996) Phys. Rev. E , vol.53 , pp. 1475
  • 17
    • 11644279337 scopus 로고
    • Time-dependent statistics of the Ising model
    • R. J. Glauber, Time-dependent statistics of the Ising model, J. Math. Phys. 4:294 (1963).
    • (1963) J. Math. Phys. , vol.4 , pp. 294
    • Glauber, R.J.1
  • 18
    • 0001369506 scopus 로고
    • Diffusion annihilation in one dimension and the kinetics of the Ising model at zero temperature
    • J. G. Amar and F. Family, Diffusion annihilation in one dimension and the kinetics of the Ising model at zero temperature, Phys. Rev. A 41:3258 (1990).
    • (1990) Phys. Rev. A , vol.41 , pp. 3258
    • Amar, J.G.1    Family, F.2
  • 19
    • 85025784930 scopus 로고
    • Spin relaxation of the Ising chain
    • B. U. Felderhof, Spin relaxation of the Ising chain, Rep. Math. Phys. 1:215 (1971); Note on spin relaxation of the Ising chain. Rep. Math. Phys. 2:151 (1971).
    • (1971) Rep. Math. Phys. , vol.1 , pp. 215
    • Felderhof, B.U.1
  • 20
    • 33646978909 scopus 로고
    • Note on spin relaxation of the Ising chain
    • B. U. Felderhof, Spin relaxation of the Ising chain, Rep. Math. Phys. 1:215 (1971); Note on spin relaxation of the Ising chain. Rep. Math. Phys. 2:151 (1971).
    • (1971) Rep. Math. Phys. , vol.2 , pp. 151
  • 21
    • 0000581907 scopus 로고
    • Diffusive dynamics of deposition-evaporation systems, jamming, and broken symmetries in related quantum-spin models
    • R. B. Stinchcombe, M. D. Grynberg, and M. Barma, Diffusive dynamics of deposition-evaporation systems, jamming, and broken symmetries in related quantum-spin models, Phys. Rev. E 47:4018 (1993).
    • (1993) Phys. Rev. E , vol.47 , pp. 4018
    • Stinchcombe, R.B.1    Grynberg, M.D.2    Barma, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.