메뉴 건너뛰기




Volumn 130, Issue 1, 2008, Pages 83-112

A new class of cellular automata with a discontinuous glass transition

Author keywords

Bootstrap percolation; Cellular automata; Finite size scaling; Glass transition

Indexed keywords


EID: 36749063592     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-007-9420-z     Document Type: Article
Times cited : (36)

References (17)
  • 1
    • 36149031851 scopus 로고
    • Metastability effects in bootstrap percolation
    • Aizenman, M., Lebowitz, J.L.: Metastability effects in bootstrap percolation. J. Phys. A 21, 3801-3813 (1988)
    • (1988) J. Phys. A , vol.21 , pp. 3801-3813
    • Aizenman, M.1    Lebowitz, J.L.2
  • 2
    • 0000847052 scopus 로고
    • Discontinuity of the percolation density in one-dimensional 1=(xy)2 percolation models
    • Aizenman, M., Newman, C.M.: Discontinuity of the percolation density in one-dimensional 1=(xy)2 percolation models. Commun. Math. Phys. 107, 611-647 (1986)
    • (1986) Commun. Math. Phys. , vol.107 , pp. 611-647
    • Aizenman, M.1    Newman, C.M.2
  • 3
    • 0002205186 scopus 로고
    • Discontinuity of the magnetization in one-dimensional 1/|x-y|2 Ising and Potts models
    • 1-2
    • Aizenman, M., Chayes, J.T., Chayes, L., Newman, C.M.: Discontinuity of the magnetization in one-dimensional 1/|x-y|2 Ising and Potts models. J. Stat. Phys. 50(1-2), 1-40 (1988)
    • (1988) J. Stat. Phys. , vol.50 , pp. 1-40
    • Aizenman, M.1    Chayes, J.T.2    Chayes, L.3    Newman, C.M.4
  • 6
    • 0345617387 scopus 로고    scopus 로고
    • The threshold regime of finite volume bootstrap percolation
    • Cerf, R., Manzo, F.: The threshold regime of finite volume bootstrap percolation. Stoch. Process. Appl. 101, 69-82 (2002)
    • (2002) Stoch. Process. Appl. , vol.101 , pp. 69-82
    • Cerf, R.1    Manzo, F.2
  • 7
    • 0002092533 scopus 로고
    • Bootstrap percolation on a Bethe lattice
    • Chalupa, J., Leath, P.L., Reich, G.R.: Bootstrap percolation on a Bethe lattice. J. Phys. C 12, L31 (1979)
    • (1979) J. Phys. C , vol.12 , pp. 31
    • Chalupa, J.1    Leath, P.L.2    Reich, G.R.3
  • 8
    • 0000808186 scopus 로고
    • Oriented Percolation in two dimensions
    • Durrett, R.: Oriented Percolation in two dimensions. Ann. Probab. 12, 999 (1982)
    • (1982) Ann. Probab. , vol.12 , pp. 999
    • Durrett, R.1
  • 9
    • 0001103678 scopus 로고
    • The critical contact process dies out
    • Bezuidenhout, C., Grimmett, G.: The critical contact process dies out. Ann. Probab. 18, 1462-1482 (1990)
    • (1990) Ann. Probab. , vol.18 , pp. 1462-1482
    • Bezuidenhout, C.1    Grimmett, G.2
  • 10
    • 0002748055 scopus 로고
    • Correlation inequalities on some partially ordered sets
    • Fortuin, C.M., Kasteleyn, P.W., Ginibre, J.: Correlation inequalities on some partially ordered sets. Commun. Math. Phys. 22, 89-103 (1971)
    • (1971) Commun. Math. Phys. , vol.22 , pp. 89-103
    • Fortuin, C.M.1    Kasteleyn, P.W.2    Ginibre, J.3
  • 11
    • 0034334818 scopus 로고    scopus 로고
    • Nonequilibrium critical phenomena and phase transitions in absorbing states
    • Hinrichsen, H.: Nonequilibrium critical phenomena and phase transitions in absorbing states. Adv. Phys. 49, 815-965 (2000)
    • (2000) Adv. Phys. , vol.49 , pp. 815-965
    • Hinrichsen, H.1
  • 13
    • 0030144334 scopus 로고    scopus 로고
    • Sudden emergence of a giant k-core on a random graph
    • Pittel, B., Spencer, J., Wormald, N.: Sudden emergence of a giant k-core on a random graph. J. Comb. Theory Ser. B 67, 111-151 (1996)
    • (1996) J. Comb. Theory Ser. B , vol.67 , pp. 111-151
    • Pittel, B.1    Spencer, J.2    Wormald, N.3
  • 14
    • 0000328846 scopus 로고
    • On the behaviours of some cellular automata related to bootstrap percolation
    • Schonmann, R.H.: On the behaviours of some cellular automata related to bootstrap percolation. Ann. Probab. 20, 174-193 (1992)
    • (1992) Ann. Probab. , vol.20 , pp. 174-193
    • Schonmann, R.H.1
  • 15
    • 32644481956 scopus 로고    scopus 로고
    • Jamming percolation and glass transition in lattice models
    • Toninelli, C., Biroli, G., Fisher, D.S.: Jamming percolation and glass transition in lattice models. Phys. Rev. Lett. 96, 035702 (2006)
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 035702
    • Toninelli, C.1    Biroli, G.2    Fisher, D.S.3
  • 16
    • 33947368958 scopus 로고    scopus 로고
    • On the universality of jamming percolation: Reply to the comment of Jeng and Schwarz
    • Toninelli, C., Biroli, G., Fisher, D.S.: On the universality of jamming percolation: reply to the comment of Jeng and Schwarz. Phys. Rev. Lett. 98, 129602 (2007)
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 129602
    • Toninelli, C.1    Biroli, G.2    Fisher, D.S.3
  • 17
    • 33947431517 scopus 로고    scopus 로고
    • Comment on jamming percolation and glass transitions in lattice models
    • Jeng, M., Schwarz, J.M.: Comment on jamming percolation and glass transitions in lattice models. Phys. Rev. Lett. 98, 129601 (2007)
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 129601
    • Jeng, M.1    Schwarz, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.