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Mat. Sb. (N.S.), 1967, Volume 73(115), Number 3, Pages 375–448 (Mi msb4134)  

This article is cited in 20 scientific papers (total in 22 papers)

The phenomenon of “phase separation” at low temperatures in some lattice models of a gas. I

R. A. Minlos, Ya. G. Sinai


Full text: PDF file (5561 kB)

English version:
Mathematics of the USSR-Sbornik, 1967, 2:3, 335–395

Bibliographic databases:

UDC: 519.25
MSC: 82B20, 82B26, 82B05, 60E05, 60Bxx
Received: 20.12.1966

Citation: R. A. Minlos, Ya. G. Sinai, “The phenomenon of “phase separation” at low temperatures in some lattice models of a gas. I”, Mat. Sb. (N.S.), 73(115):3 (1967), 375–448; Math. USSR-Sb., 2:3 (1967), 335–395

Citation in format AMSBIB
\Bibitem{MinSin67}
\by R.~A.~Minlos, Ya.~G.~Sinai
\paper The phenomenon of ``phase separation'' at low temperatures in some lattice models of a gas.~I
\jour Mat. Sb. (N.S.)
\yr 1967
\vol 73(115)
\issue 3
\pages 375--448
\mathnet{http://mi.mathnet.ru/msb4134}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=213133}
\transl
\jour Math. USSR-Sb.
\yr 1967
\vol 2
\issue 3
\pages 335--395
\crossref{https://doi.org/10.1070/SM1967v002n03ABEH002345}


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    This publication is cited in the following articles:
    1. R. A. Minlos, “Lectures on statistical physics”, Russian Math. Surveys, 23:1 (1968), 137–196  mathnet  crossref  mathscinet  zmath
    2. R. A. Minlos, A. M. Khalfina, “Two-dimensional limit theorem for the particle number and energy in the grand canonical ensemble”, Math. USSR-Izv., 4:5 (1970), 1183–1202  mathnet  crossref  mathscinet  zmath
    3. H. Beijeren, G. Gallavotti, “The phase separation line in the two-dimensional Ising model and its relationship with the nonfree-random-walk problem”, Lett Nuovo Cimento, 4:14 (1972), 699  crossref
    4. D.B. Abraham, G. Gallavotti, A. Martin-Löf, “Surface tension in the two-dimensional Ising model”, Physica, 65:1 (1973), 73  crossref
    5. D. B. Abraham, P. Reed, “Phase Separation in the Two-Dimensional Ising Ferromagnet”, Phys Rev Letters, 33:6 (1974), 377  crossref  adsnasa
    6. S. A. Pirogov, Ya. G. Sinai, “Phase diagrams of classical lattice systems”, Theoret. and Math. Phys., 25:3 (1975), 1185–1192  mathnet  crossref  mathscinet
    7. S. A. Pirogov, Ya. G. Sinai, “Phase diagrams of classical lattice systems continuation”, Theoret. and Math. Phys., 26:1 (1976), 39–49  mathnet  crossref  mathscinet
    8. V. M. Gercik, “Conditions for the nonuniqueness of the Gibbs state for lattice models having finite interaction potentials”, Math. USSR-Izv., 10:2 (1976), 429–443  mathnet  crossref  mathscinet  zmath
    9. D.B. Abraham, O.J. Heilmann, “The rigidity of the surface of phase separation in the ising ferromagnet”, Physica A: Statistical Mechanics and its Applications, 85:3 (1976), 589  crossref
    10. V. A. Malyshev, “Cluster expansions in lattice models of statistical physics and the quantum theory of fields”, Russian Math. Surveys, 35:2 (1980), 1–62  mathnet  crossref  mathscinet  adsnasa  isi
    11. J E Avron, H van Beijeren, L S Schulman, R K P Zia, J Phys A Math Gen, 15:2 (1982), L81  crossref  mathscinet  adsnasa
    12. P. M. Bleher, “Phase separation in the $\varphi^4$ hierarchical model”, Theoret. and Math. Phys., 61:2 (1984), 1107–1117  mathnet  crossref  mathscinet  isi
    13. R. Kotecký, D. Preiss, “Cluster expansion for abstract polymer models”, Comm Math Phys, 103:3 (1986), 491  crossref  mathscinet  zmath  adsnasa
    14. O. O. Griniv, R. L. Dobrushin, “On fluctuations of Wulff's shape in a two-dimensional Ising model”, Russian Math. Surveys, 50:6 (1995), 1262–1264  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    15. Nilanjana Datta, Roberto Fernández, Jürg Fröhlich, “Low-temperature phase diagrams of quantum lattice systems. I. Stability for quantum perturbations of classical systems with finitely-many ground states”, J Statist Phys, 84:3-4 (1996), 455  crossref  mathscinet  zmath
    16. S. P. Novikov, L. A. Bunimovich, A. M. Vershik, B. M. Gurevich, E. I. Dinaburg, G. A. Margulis, V. I. Oseledets, S. A. Pirogov, K. M. Khanin, N. N. Chentsova, “Yakov Grigor'evich Sinai (on his sixtieth birthday)”, Russian Math. Surveys, 51:4 (1996), 765–778  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    17. R. A. Minlos, “R. L. Dobrushin – one of the founders of modern mathematical physics”, Russian Math. Surveys, 52:2 (1997), 251–256  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    18. T. Bodineau, D. Ioffe, Y. Velenik, “Rigorous probabilistic analysis of equilibrium crystal shapes”, J Math Phys (N Y ), 41:3 (2000), 1033  crossref  mathscinet  zmath  adsnasa  elib
    19. Eugene Pechersky, Elena Petrova, Sergey Pirogov, “Phase transitions of laminated models at any temperature”, Mosc. Math. J., 10:4 (2010), 789–806  mathnet  mathscinet
    20. Alessandro Giuliani, Rafael L. Greenblatt, Vieri Mastropietro, “The scaling limit of the energy correlations in non-integrable Ising models”, J. Math. Phys, 53:9 (2012), 095214  crossref
    21. A. I. Bufetov, B. M. Gurevich, K. M. Khanin, F. Cellarosi, “The Abel Prize award to Ya. G. Sinai”, Russian Math. Surveys, 69:5 (2014), 931–956  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    22. Zohar Nussinov, Gerardo Ortiz, Mohammad-Sadegh Vaezi, “Why are all dualities conformal? Theory and practical consequences”, Nuclear Physics B, 892 (2015), 132  crossref
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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