DOI: 10.1007/bf01224901. Phase transition in the 3d random field Ising model

Phase transition in the 3d random field Ising model

10.1007/bf01224901

Crossref journal-article

Springer Science and Business Media LLC

Communications in Mathematical Physics (297)

Bibliography

Bricmont, J., & Kupiainen, A. (1988). Phase transition in the 3d random field Ising model. Communications in Mathematical Physics, 116(4), 539â572.

Authors 2

J. Bricmont (first)
A. Kupiainen (additional)

References 27 Referenced 97

Fishman, S., Aharony, A.: Random Field effects in disordered anisotropic antiferromagnets. J. Phys. C12, L729?733 (1976) / J. Phys. by S. Fishman (1976)
Villain, J.: Commensurate-incommensurate transition with frozen impurities. J. Phys.43, L551?558 (1982) / J. Phys. by J. Villain (1982)
Grinstein, G., Fernandez, J.: Equilibration in random-field Ising systems. Phys. Rev. B29, 6389?6392 (1984) (10.1103/PhysRevB.29.6389) / Phys. Rev. by G. Grinstein (1984)
Pytte, E., Imry, Y., Mukamel, D.: Lower critical dimension and the roughening transition of the random-field Ising model. Phys. Rev. Lett.46, 1173?1177 (1981) (10.1103/PhysRevLett.46.1173) / Phys. Rev. Lett. by E. Pytte (1981)
Mukamel, D., Pytte, E.: Interface fluctuations and the Ising model in a random field. Phys. Rev. B25, 4779?4786 (1982) (10.1103/PhysRevB.25.4779) / Phys. Rev. by D. Mukamel (1982)
Grinstein, G.: Ferromagnet phase transitions in random fields: The breakdown of scaling laws. Phys. Rev. Lett.37, 944?947 (1976) (10.1103/PhysRevLett.37.944) / Phys. Rev. Lett. by G. Grinstein (1976)
Aharony, A., Imry, Y., Ma, S. K.: Lowering of dimensionality in phase transitions with random fields. Phys. Rev. Lett.37, 1364?1367 (1976) (10.1103/PhysRevLett.37.1364) / Phys. Rev. Lett. by A. Aharony (1976)
Young, A. P.: On the lowering of dimensionality in phase transitions with random fields. J. Phys. C10, L257?262 (1977) / J. Phys. by A. P. Young (1977)
Parisi, G., Sourlas, N.: Random magnetic fields, supersymmetry, and negative dimensions. Phys. Rev. Lett.43, 744?745 (1979); Supersymmetric field theories and stochastic differential equations. Nucl. Phys. B206, 321?332 (1982) (10.1103/PhysRevLett.43.744) / Phys. Rev. Lett. by G. Parisi (1979)
Kogon, H. S., Wallace, D. J.: The Ising model in a random field; supersymmetric surface fluctuations and their implications in three dimensions. J. Phys. A14, L527?531 (1981) / J. Phys. by H. S. Kogon (1981)
Klein, A., Landau, L., Perez, J. F.: Supersymmetry and the Parisi-Sourlas dimensional reduction: A rigorous proof. Commun. Math. Phys.93, 459?482 (1984) (10.1007/BF01403882) / Commun. Math. Phys. by A. Klein (1984)
Parisi, G.: An introduction to the statistical mechanics of amorphous systems. In: Recent advances in field theory and statistical mechanics, Zuber, J. B., Stora, R. (eds.) Amsterdam: North-Holland 1984 / Recent advances in field theory and statistical mechanics by G. Parisi (1984)
Fisher, D.: Interface fluctuations in disordered systems: 5-? expansion and failure of dimensional reduction. Phys. Rev. Lett.56, 1964?1967 (1986) (10.1103/PhysRevLett.56.1964) / Phys. Rev. Lett. by D. Fisher (1986)
Imry, Y., Ma, S. K.: Random-field instability of the ordered state of continuous symmetry. Phys. Rev. Lett.35, 1399?1401 (1975) (10.1103/PhysRevLett.35.1399) / Phys. Rev. Lett. by Y. Imry (1975)
Grinstein, G., Ma, S. K.: Roughening and lower critical dimension in the random-field Ising model. Phys. Rev. Lett.49, 685?88 (1982) (10.1103/PhysRevLett.49.685) / Phys. Rev. Lett. by G. Grinstein (1982)
Fisher, D., Fröhlich, J., Spencer, T.: The Ising model in a random magnetic field. J. Stat. Phys.34, 863?70 (1984) (10.1007/BF01009445) / J. Stat. Phys. by D. Fisher (1984)
Chalker, J.: On the lower critical dimensionality of the Ising model in a random field. J. Phys. C16, 6615?6622 (1983) / J. Phys. by J. Chalker (1983)
Imbrie, J.: The ground state of the three-dimensional random-field Ising model. Commun. Math. Phys.98, 145?176 (1985) (10.1007/BF01220505) / Commun. Math. Phys. by J. Imbrie (1985)
Beretti, A.: Some properties of random Ising models. J. Stat. Phys.38, 483 (1985) (10.1007/BF01010473) / J. Stat. Phys. by A. Beretti (1985)
Fröhlich, J., Imbrie, J.: Improved perturbation expansion for disordered systems: Beating Griffiths' singularities. Commun. Math Phys.96, 145?180 (1984) (10.1007/BF01240218) / Commun. Math Phys. by J. Fröhlich (1984)
The hierarchical random field Ising model. Preprint.
Derrida, B., Shnidman, Y.: Possible line of critical points for a random field Ising model in dimension 2. J. Phys. Lett.45, L577-L581 (1984) (10.1051/jphyslet:019840045012057700) / J. Phys. Lett. by B. Derrida (1984)
Bricmont, J., Kupiainen, A.: Lower critical dimension for the random field Ising model. Phys. Rev. Lett.59, 1829?1832 (1987) (10.1103/PhysRevLett.59.1829) / Phys. Rev. Lett. by J. Bricmont (1987)
Gawedzki, K., Kotecky, R., Kupiainen, A.: Coarse graining approach to first order phase transitions. J. Stat. Phys. (1987) (10.1007/BF01206154)
Griffiths, R. B.: Nonanalytic behavior above the critical point in a random Ising ferromagnet. Phys. Rev. Lett.23, 17 (1969) (10.1103/PhysRevLett.23.17) / Phys. Rev. Lett. by R. B. Griffiths (1969)
Lebowitz, J. L.: Bounds on the correlations and analyticity properties of ferromagnetic Ising spin systems. Commun. Math. Phys.32, 313?322 (1973) (10.1007/BF01645612) / Commun. Math. Phys. by J. L. Lebowitz (1973)
Martin-Löf, A.: Mixing properties, differentiability of the free energy and central limit theorem for a pure phase in the Ising model at low temperature. Commun. Math. Phys.32, 75?92 (1973) (10.1007/BF01646430) / Commun. Math. Phys. by A. Martin-Löf (1973)

Dates

Type	When
Created	20 years, 6 months ago (Feb. 25, 2005, 2:32 p.m.)
Deposited	6 years, 3 months ago (April 30, 2019, 8 a.m.)
Indexed	3 weeks ago (Aug. 6, 2025, 8:26 a.m.)
Issued	36 years, 8 months ago (Dec. 1, 1988)
Published	36 years, 8 months ago (Dec. 1, 1988)
Published Print	36 years, 8 months ago (Dec. 1, 1988)

Funders 0

None

BibTeX

@article{Bricmont_1988, title={Phase transition in the 3d random field Ising model}, volume={116}, ISSN={1432-0916}, url={http://dx.doi.org/10.1007/bf01224901}, DOI={10.1007/bf01224901}, number={4}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Bricmont, J. and Kupiainen, A.}, year={1988}, month=dec, pages={539–572} }

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