메뉴 건너뛰기




Volumn 77, Issue 5-7, 2004, Pages 563-579

Persistence in extended dynamical systems

Author keywords

Directed percolation; Domain growth; Persistence

Indexed keywords

CORRELATION METHODS; DYNAMICS; FUNCTIONS; MARKOV PROCESSES; MATHEMATICAL MODELS; PERCOLATION (COMPUTER STORAGE); PROBABILITY;

EID: 11144315504     PISSN: 01411594     EISSN: None     Source Type: Journal    
DOI: 10.1080/01411590410001672585     Document Type: Review
Times cited : (16)

References (51)
  • 1
    • 4243519708 scopus 로고    scopus 로고
    • Numerical study of persistence in models with absorbing states
    • Albano, E.V. and Muñoz, M.A. (2000). Numerical study of persistence in models with absorbing states. Phys. Rev. E, 63, 031104.
    • (2000) Phys. Rev. E , vol.63 , pp. 031104
    • Albano, E.V.1    Muñoz, M.A.2
  • 3
    • 0346505865 scopus 로고
    • Theory of phase-ordering kinetics
    • Bray, A.J. (1994). Theory of phase-ordering kinetics. Adv. Phys., 43, 357.
    • (1994) Adv. Phys. , vol.43 , pp. 357
    • Bray, A.J.1
  • 4
    • 0034269993 scopus 로고    scopus 로고
    • Phys. unusual dynamical scaling in the spatial distribution of persistent sites in ID Potts models
    • Bray, A.J. and O'Donoghue, S.J. (2000). Phys. unusual dynamical scaling in the spatial distribution of persistent sites in ID Potts models. Rev. E, 62, 3366.
    • (2000) Rev. E , vol.62 , pp. 3366
    • Bray, A.J.1    O'Donoghue, S.J.2
  • 5
    • 21844520177 scopus 로고
    • Properties of unaffected sites in a reaction-diffusion process
    • Cardy, J., (1995). Properties of unaffected sites in a reaction-diffusion process. J. Phys. A, 28, L19.
    • (1995) J. Phys. A , vol.28
    • Cardy, J.1
  • 6
    • 0002121327 scopus 로고
    • Stochastic problems in physics and astronomy
    • Chandrasekhar, S. (1943). Stochastic problems in physics and astronomy. Rev. Mod. Phys., 151.
    • (1943) Rev. Mod. Phys. , pp. 151
    • Chandrasekhar, S.1
  • 7
    • 21344489243 scopus 로고
    • Non-trivial exponents in the zero temperature dynamics of the 1D Ising and Potts models
    • Derrida, B., Bray, A.J. and Godreche, C. (1994). Non-trivial exponents in the zero temperature dynamics of the 1D Ising and Potts models. J. Phys. A, 27, L357.
    • (1994) J. Phys. A , vol.27
    • Derrida, B.1    Bray, A.J.2    Godreche, C.3
  • 8
    • 0001530399 scopus 로고    scopus 로고
    • Exact first-passage exponents of ID domain growth: Relation to a reaction-diffusion model
    • Derrida, B., Hakim, V. and Pasquir, V. (1995). Exact first-passage exponents of ID domain growth: relation to a reaction-diffusion model. Phys. Rev. Lett., 75, 751.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 751
    • Derrida, B.1    Hakim, V.2    Pasquir, V.3
  • 9
    • 0030489281 scopus 로고    scopus 로고
    • Exact exponent for the number of persistent spins in the zero temperature dynamics of the 1D Potts model
    • Derrida, B., Hakim, V. and Pasquir, V. (1996). Exact exponent for the number of persistent spins in the zero temperature dynamics of the 1D Potts model. J. Stat. Phys., 85, 763.
    • (1996) J. Stat. Phys. , vol.85 , pp. 763
    • Derrida, B.1    Hakim, V.2    Pasquir, V.3
  • 10
    • 4143111990 scopus 로고    scopus 로고
    • Persistent spins in the linear diffusion approximation of phase ordering and zeros of stationary gaussian processes
    • Derrida, B., Hakim, V. and Zeitak, R. (1996). Persistent spins in the linear diffusion approximation of phase ordering and zeros of stationary gaussian processes. Phys. Rev. Lett., 2871.
    • (1996) Phys. Rev. Lett. , pp. 2871
    • Derrida, B.1    Hakim, V.2    Zeitak, R.3
  • 11
    • 0001530399 scopus 로고    scopus 로고
    • Exact first-passage exponents of ID domain growth: Relation to a reaction-diffusion model
    • Derrida, B., Hakim, V. and Pasquir, V. (1996). Exact first-passage exponents of ID domain growth: relation to a reaction-diffusion model. Phys. Rev. Lett., 75, 751; Exact exponent for the number of persistent spins in the zero temperature dynamics of the ID Potts model. J. Stat. Phys., 85, 763.
    • (1996) Phys. Rev. Lett. , vol.75 , pp. 751
    • Derrida, B.1    Hakim, V.2    Pasquir, V.3
  • 12
    • 0030489281 scopus 로고    scopus 로고
    • Exact exponent for the number of persistent spins in the zero temperature dynamics of the ID Potts model
    • Derrida, B., Hakim, V. and Pasquir, V. (1996). Exact first-passage exponents of ID domain growth: relation to a reaction-diffusion model. Phys. Rev. Lett., 75, 751; Exact exponent for the number of persistent spins in the zero temperature dynamics of the ID Potts model. J. Stat. Phys., 85, 763.
    • J. Stat. Phys. , vol.85 , pp. 763
  • 13
    • 0000709386 scopus 로고
    • Equivalence of cellular automata to Ising models and directed percolation
    • Domany, E. and Kinzel, W. (1984). Equivalence of cellular automata to Ising models and directed percolation. Phys. Rev. Lett., 53, 311.
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 311
    • Domany, E.1    Kinzel, W.2
  • 16
    • 0032048347 scopus 로고    scopus 로고
    • Random walks, reaction-diffusion, and nonequilibrium dynamics of spin chains in one-dimensional random environments
    • Fisher, D.S., Le Doussal, P. and Monthus, C. (1998). Random walks, reaction-diffusion, and nonequilibrium dynamics of spin chains in one-dimensional random environments. Phys. Rev. Lett., 80, 3539.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 3539
    • Fisher, D.S.1    Le Doussal, P.2    Monthus, C.3
  • 17
    • 0001513650 scopus 로고    scopus 로고
    • Segregation in a one-dimensional model of interacting species
    • Frachebourg, L., Krapivsky, P.L. and Ben-Nairn, E. (1996). Segregation in a one-dimensional model of interacting species. Phys. Rev. Lett., 77, 2125.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 2125
    • Frachebourg, L.1    Krapivsky, P.L.2    Ben-Nairn, E.3
  • 18
    • 0034334818 scopus 로고    scopus 로고
    • Non-equilibrium critical phenomena and phase transitions into absorbing states
    • Hinrichsen, H. (2000). Non-equilibrium critical phenomena and phase transitions into absorbing states. Adv. Phys., 49, 815.
    • (2000) Adv. Phys. , vol.49 , pp. 815
    • Hinrichsen, H.1
  • 19
    • 0032301456 scopus 로고    scopus 로고
    • Numerical study of local and global persistence in directed percolation
    • Hinrichsen, H. and Koduvely, H.M. (1998). Numerical study of local and global persistence in directed percolation. Eur. Phys. J. B, 35, 257.
    • (1998) Eur. Phys. J. B , vol.35 , pp. 257
    • Hinrichsen, H.1    Koduvely, H.M.2
  • 20
    • 21344441165 scopus 로고    scopus 로고
    • Fluctuation kinetics in a multispecies reaction-diffusion system
    • Howard, M. (1996). Fluctuation kinetics in a multispecies reaction-diffusion system, ibid., 29, 3437.
    • (1996) Eur. Phys. J. B , vol.29 , pp. 3437
    • Howard, M.1
  • 21
    • 0001124338 scopus 로고    scopus 로고
    • Persistence in the zero-temperature dynamics of the diluted Ising ferromagnets in two dimensions
    • Jain, S. (1999). Persistence in the zero-temperature dynamics of the diluted Ising ferromagnets in two dimensions. Phys. Rev. E, 60, R2445.
    • (1999) Phys. Rev. E , vol.60
    • Jain, S.1
  • 22
    • 0034356145 scopus 로고    scopus 로고
    • Scaling and persistence in the two-dimensional Ising model
    • Jain, S. and Hlynn, H. (2000). Scaling and persistence in the two-dimensional Ising model. J. Phys. A, 33, 8383.
    • (2000) J. Phys. A , vol.33 , pp. 8383
    • Jain, S.1    Hlynn, H.2
  • 23
    • 42749098203 scopus 로고    scopus 로고
    • Evidence for directed percolation universality at the onset of spatiotemporal intermittency in coupled circle maps
    • Janaki, T.M., Sinha, S. and Gupte, N. (2003). Evidence for directed percolation universality at the onset of spatiotemporal intermittency in coupled circle maps. Phys. Rev. E, 67, 056218.
    • (2003) Phys. Rev. E , vol.67 , pp. 056218
    • Janaki, T.M.1    Sinha, S.2    Gupte, N.3
  • 24
    • 0034698011 scopus 로고    scopus 로고
    • Multiplicative moments and measures of persistence in ecology
    • Keeling, M.J. (2000). Multiplicative moments and measures of persistence in ecology. J. Theor. Biol., 205,269.
    • (2000) J. Theor. Biol. , vol.205 , pp. 269
    • Keeling, M.J.1
  • 25
    • 5244328794 scopus 로고
    • Kinetics of heterogeneous single-species annihilation
    • Krapivsky, P.L., Ben-Naim, E. and Redner, S. (1994). Kinetics of heterogeneous single-species annihilation. Phys. Rev. E, 50, 2474.
    • (1994) Phys. Rev. E , vol.50 , pp. 2474
    • Krapivsky, P.L.1    Ben-Naim, E.2    Redner, S.3
  • 27
    • 0000163988 scopus 로고    scopus 로고
    • Persistence and quiescence of seismicity on fault systems
    • Lee, M.W., Sornette, D. and Knopoff, L. (1999). Persistence and quiescence of seismicity on fault systems. Phys. Rev. Lett., 83, 4219.
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 4219
    • Lee, M.W.1    Sornette, D.2    Knopoff, L.3
  • 29
    • 0001369067 scopus 로고    scopus 로고
    • Persistence in nonequilibrium systems
    • Majumdar, S.N. (1999). Persistence in nonequilibrium systems. Current Science, 77(370).
    • (1999) Current Science , vol.77 , Issue.370
    • Majumdar, S.N.1
  • 30
    • 0032049088 scopus 로고    scopus 로고
    • Survival probability of a mobile particle in a fluctuating field
    • Majumdar, S.N. and Cornell, S.J. (1998). Survival probability of a mobile particle in a fluctuating field, ibid., 57, 3757.
    • (1998) Current Science , vol.57 , pp. 3757
    • Majumdar, S.N.1    Cornell, S.J.2
  • 32
    • 6044240284 scopus 로고    scopus 로고
    • Persistence in Q-state Potts model: A mean-field approach
    • Manoj, G. (2003). Persistence in Q-state Potts model: a mean-field approach. Phys. Rev. E, 67, 026115.
    • (2003) Phys. Rev. E , vol.67 , pp. 026115
    • Manoj, G.1
  • 33
    • 0034737214 scopus 로고    scopus 로고
    • Scaling and fractal formation in persistence
    • Manoj, G. and Ray, P. (2000a). Scaling and fractal formation in persistence. J. Phys. A, 33, L103.
    • (2000) J. Phys. A , vol.33
    • Manoj, G.1    Ray, P.2
  • 34
    • 0034514750 scopus 로고    scopus 로고
    • Persistence in higher dimensions: A finite size scaling study
    • Manoj, G. and Ray, P. (2000b). Persistence in higher dimensions: a finite size scaling study. Phys. Rev. E, 62, 7455.
    • (2000) Phys. Rev. E , vol.62 , pp. 7455
    • Manoj, G.1    Ray, P.2
  • 35
    • 0034636934 scopus 로고    scopus 로고
    • Spatial distribution of persistent sites
    • Manoj, G. and Ray, P. (2000c). Spatial distribution of persistent sites. J. Phys. A, 33, 5489.
    • (2000) J. Phys. A , vol.33 , pp. 5489
    • Manoj, G.1    Ray, P.2
  • 36
    • 58149320929 scopus 로고
    • Self-diffusion and visited surface in the droplet condensation problem (Breath Figures)
    • Marcos-Martin, M., Beysens, D., Bouchaud, J.-P., Godreche, C. and Yekutieli, I. (1995). Self-diffusion and visited surface in the droplet condensation problem (Breath Figures). Physica A, 214, 396.
    • (1995) Physica A , vol.214 , pp. 396
    • Marcos-Martin, M.1    Beysens, D.2    Bouchaud, J.-P.3    Godreche, C.4    Yekutieli, I.5
  • 37
    • 0035931047 scopus 로고    scopus 로고
    • Exact persistence exponent for one-dimensional Potts models with parallel dynamics
    • Menon, G.I. and Ray, P. (2001). Exact persistence exponent for one-dimensional Potts models with parallel dynamics. J. Phys. A, 34, L1.
    • (2001) J. Phys. A , vol.34
    • Menon, G.I.1    Ray, P.2
  • 38
    • 0035475942 scopus 로고    scopus 로고
    • Persistence in one-dimensional ising models with parallel dynamics
    • Menon, G.I., Ray, P. and Shukla, P. (2000). Persistence in one-dimensional ising models with parallel dynamics. Phys. Rev. E, 64, 46102.
    • (2000) Phys. Rev. E , vol.64 , pp. 46102
    • Menon, G.I.1    Ray, P.2    Shukla, P.3
  • 39
    • 0037269956 scopus 로고    scopus 로고
    • Persistence at the onset of spatio-temporal intermittency in coupled map lattices
    • Menon, G.I., Sinha, S. and Ray, P. (2003). Persistence at the onset of spatio-temporal intermittency in coupled map lattices. Europhys. Lett., 61, 1.
    • (2003) Europhys. Lett. , vol.61 , pp. 1
    • Menon, G.I.1    Sinha, S.2    Ray, P.3
  • 40
    • 0000787735 scopus 로고    scopus 로고
    • Exponents appearing in heterogeneous reaction-diffusion models in one dimension
    • Monthus, C. (1996). Exponents appearing in heterogeneous reaction-diffusion models in one dimension. Phys. Rev. E, 54, 4844.
    • (1996) Phys. Rev. E , vol.54 , pp. 4844
    • Monthus, C.1
  • 41
    • 4243819074 scopus 로고    scopus 로고
    • Persistence in the one-dimensional A + B → 0 reaction-diffusion model
    • O'Donoghue, S.J. and Bray, A.J. (2001). Persistence in the one-dimensional A + B → 0 reaction-diffusion model. Phys. Rev. E, 64, 041103.
    • (2001) Phys. Rev. E , vol.64 , pp. 041103
    • O'Donoghue, S.J.1    Bray, A.J.2
  • 42
    • 11744373488 scopus 로고
    • Front motion, metastability and subcritical bifurcations in hydrodynamics
    • Pomeau, Y. (1986). Front motion, metastability and subcritical bifurcations in hydrodynamics. Physica D, 23, 3.
    • (1986) Physica D , vol.23 , pp. 3
    • Pomeau, Y.1
  • 43
    • 0036944435 scopus 로고    scopus 로고
    • Spatial scaling in persistence
    • Ray, P. (2002). Spatial scaling in persistence. Physica A, 314, 97.
    • (2002) Physica A , vol.314 , pp. 97
    • Ray, P.1
  • 45
    • 21344475642 scopus 로고
    • Ising spinodal decomposition at T = 0 in one to five dimensions
    • Stauffer, D. (1994). Ising spinodal decomposition at T = 0 in one to five dimensions. J. Phys. A, 27, 5029.
    • (1994) J. Phys. A , vol.27 , pp. 5029
    • Stauffer, D.1
  • 46
    • 0000053447 scopus 로고    scopus 로고
    • Survival-time distribution for inelastic collapse
    • Swift, M.R. and Bray, A.J. (1999). Survival-time distribution for inelastic collapse. Phys. Rev. E, 59, R4721
    • (1999) Phys. Rev. E , vol.59
    • Swift, M.R.1    Bray, A.J.2
  • 47
    • 6144238018 scopus 로고    scopus 로고
    • First-passage exponents in two-dimensional soap froth
    • Tam, W.Y., Zeitak, R., Szeto, K.Y. and Stavans. J. (1997). First-passage exponents in two-dimensional soap froth. Phys. Rev. Lett., 78, 1588.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 1588
    • Tam, W.Y.1    Zeitak, R.2    Szeto, K.Y.3    Stavans, J.4
  • 49
    • 0003033253 scopus 로고    scopus 로고
    • Experimental measurement of the persistence exponent of the planar Ising model
    • Yurke, B., Pargellis, A.N., Majumdar, S.N. and Sire, C. (1997). Experimental measurement of the persistence exponent of the planar Ising model. Phys. Rev. E, 56, R40.
    • (1997) Phys. Rev. E , vol.56
    • Yurke, B.1    Pargellis, A.N.2    Majumdar, S.N.3    Sire, C.4
  • 50
    • 0000099303 scopus 로고    scopus 로고
    • Distribution of persistent sites in diffusing systems
    • Zanette, D.H. (1996). Distribution of persistent sites in diffusing systems. Phys. Rev. E, 55, 2462.
    • (1996) Phys. Rev. E , vol.55 , pp. 2462
    • Zanette, D.H.1
  • 51
    • 0000175360 scopus 로고
    • Kinetic phase transitions in an irreversible surface-reaction model
    • Ziff, R., Gulari, E. and Barshad, Y. (1986). Kinetic phase transitions in an irreversible surface-reaction model. Phys. Rev. Lett., 56, 2553.
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 2553
    • Ziff, R.1    Gulari, E.2    Barshad, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.