DOI: 10.1007/s10955-007-9420-z. A New Class of Cellular Automata with a Discontinuous Glass Transition

A New Class of Cellular Automata with a Discontinuous Glass Transition

10.1007/s10955-007-9420-z

Crossref journal-article

Springer Science and Business Media LLC

Journal of Statistical Physics (297)

Bibliography

Toninelli, C., & Biroli, G. (2007). A New Class of Cellular Automata with a Discontinuous Glass Transition. Journal of Statistical Physics, 130(1), 83â112.

Authors 2

Cristina Toninelli (first)
Giulio Biroli (additional)

References 17 Referenced 27

Aizenman, M., Lebowitz, J.L.: Metastability effects in bootstrap percolation. J. Phys. A 21, 3801–3813 (1988) (10.1088/0305-4470/21/19/017) / J. Phys. A by M. Aizenman (1988)
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) (10.1007/BF01205489) / Commun. Math. Phys. by M. Aizenman (1986)
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) (10.1007/BF01022985) / J. Stat. Phys. by M. Aizenman (1988)
Cancrini, N., Martinelli, F., Roberto, C., Toninelli, C.: Kinetically constrained spin models. Probab. Theory Relat. Fields (2007, in press). Preprint, math/0610106 (10.1088/1742-5468/2007/03/L03001)
Cancrini, N., Martinelli, F., Roberto, C., Toninelli, C.: Facilitated spin models: recent and new results. (2007, preprint) (10.1088/1742-5468/2007/03/L03001)
Cerf, R., Manzo, F.: The threshold regime of finite volume bootstrap percolation. Stoch. Process. Appl. 101, 69–82 (2002) (10.1016/S0304-4149(02)00124-2) / Stoch. Process. Appl. by R. Cerf (2002)
Chalupa, J., Leath, P.L., Reich, G.R.: Bootstrap percolation on a Bethe lattice. J. Phys. C 12, L31 (1979) (10.1088/0022-3719/12/1/008) / J. Phys. C by J. Chalupa (1979)
Durrett, R.: Oriented Percolation in two dimensions. Ann. Probab. 12, 999 (1982) (10.1214/aop/1176993140) / Ann. Probab. by R. Durrett (1982)
Bezuidenhout, C., Grimmett, G.: The critical contact process dies out. Ann. Probab. 18, 1462–1482 (1990) (10.1214/aop/1176990627) / Ann. Probab. by C. Bezuidenhout (1990)
Fortuin, C.M., Kasteleyn, P.W., Ginibre, J.: Correlation inequalities on some partially ordered sets. Commun. Math. Phys. 22, 89–103 (1971) (10.1007/BF01651330) / Commun. Math. Phys. by C.M. Fortuin (1971)
Hinrichsen, H.: Nonequilibrium critical phenomena and phase transitions in absorbing states. Adv. Phys. 49, 815–965 (2000) (10.1080/00018730050198152) / Adv. Phys. by H. Hinrichsen (2000)
Liggett, T.M.: Interacting Particle Systems. Springer, New York (1985) (10.1007/978-1-4613-8542-4) / Interacting Particle Systems by T.M. Liggett (1985)
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) (10.1006/jctb.1996.0036) / J. Comb. Theory Ser. B by B. Pittel (1996)
Schonmann, R.H.: On the behaviours of some cellular automata related to bootstrap percolation. Ann. Probab. 20, 174–193 (1992) (10.1214/aop/1176989923) / Ann. Probab. by R.H. Schonmann (1992)
Toninelli, C., Biroli, G., Fisher, D.S.: Jamming percolation and glass transition in lattice models. Phys. Rev. Lett. 96, 035702 (2006) (10.1103/PhysRevLett.96.035702) / Phys. Rev. Lett. by C. Toninelli (2006)
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) (10.1103/PhysRevLett.98.129602) / Phys. Rev. Lett. by C. Toninelli (2007)
Jeng, M., Schwarz, J.M.: Comment on jamming percolation and glass transitions in lattice models. Phys. Rev. Lett. 98, 129601 (2007) (10.1103/PhysRevLett.98.129601) / Phys. Rev. Lett. by M. Jeng (2007)

Dates

Type	When
Created	17 years, 10 months ago (Oct. 19, 2007, 4:49 a.m.)
Deposited	6 years, 2 months ago (June 2, 2019, 1:42 a.m.)
Indexed	2 years, 8 months ago (Dec. 12, 2022, 10:34 a.m.)
Issued	17 years, 10 months ago (Oct. 3, 2007)
Published	17 years, 10 months ago (Oct. 3, 2007)
Published Online	17 years, 10 months ago (Oct. 3, 2007)
Published Print	17 years, 8 months ago (Nov. 28, 2007)

Funders 0

None

BibTeX

@article{Toninelli_2007, title={A New Class of Cellular Automata with a Discontinuous Glass Transition}, volume={130}, ISSN={1572-9613}, url={http://dx.doi.org/10.1007/s10955-007-9420-z}, DOI={10.1007/s10955-007-9420-z}, number={1}, journal={Journal of Statistical Physics}, publisher={Springer Science and Business Media LLC}, author={Toninelli, Cristina and Biroli, Giulio}, year={2007}, month=oct, pages={83–112} }

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