Microscopic models of quasicrystals

J-P Gazeau, R. Krejcar, and J. Miękisz, Ground states of quasilattice-gas models
Materials Science and Engineering A 294-296: 421-424 (2000). 

J. Jędrzejewski and J. Miękisz, Devil's staircase for non-convex interactions, 
Europhysics Letters 50: 307-311 (2000).

J. Jędrzejewski and J. Miękisz, Ground states of lattice gases with ``almost'' convex repulsive interactions,
J. Stat. Phys. 98, 589-620 (2000).

J. Miękisz, Nonperiodic Gibbs states in microscopic models of quasicrystals, 
in Mathematical Results in Statistical Mechanics (pp. 501-508), 
Proceedings of the Satellite Colloquium STATPHYS 20,
eds. J. Ruiz, S. Miracle Sole, and V. Zagrebnov, World Scientific (1999).

J. Miękisz, Classical lattice-gas models of quasicrystals, 
J. Stat. Phys. 97: 835-850 (1999).

J-P Gazeau and J. Miękisz, A symmetry group of a Thue-Morse quasicrystal,
J. Phys. A: Math. Gen. 31: L435-L440 (1998).

A. C. D. van Enter, J. Miękisz, and M. Zahradnik, 
Nonperiodic long-range order for fast decaying interactions at positive temperatures,
J. Stat. Phys. 90: 1441-1447 (1998). 

J. Miękisz, Ultimate frustration in classical lattice-gas models,  
J. Stat. Phys. 90: 285-300 (1998). 

J. Miękisz, Stable quasiperiodic ground states, J. Stat. Phys. 88: 691-711 (1997).

J. Miękisz, Low-temperature stability of quasicrystals, Physica A 232: 657-661 (1996).

J. Miękisz, Stabilities and instabilities of nonperiodic Ground states,
in: M. Fannes, C. Maes, and A. Verbeure eds. On Three Levels, pp. 253-256, 
New York, Plenum Press (1994).

J. Miękisz, A global minimum of energy is not always a sum of local minima -  a Note on Frustration,
J. Stat. Phys. 71: 425-434 (1993).

A. van Enter, A, Hof, and J. Miękisz, Overlap distributions for deterministic systems with many pure states,
J. Phys. A: Math. Gen. 25: L1133-L1137 (1992). 

J. Miękisz, Low temperature stability of nonperiodic structures,
Physica A, 185: 151-153 (1992).

A. van Enter and J. Miękisz, How can one define a (weak) Crystal? 
J. Stat. Phys. 66: 1147-1153 (1992).

A. van Enter and J. Miękisz, Breaking of periodicity at positive temperatures,
Commun. Math. Phys. 134: 647-651 (1990). 

J. Miękisz, A microscopic model with quasicrystalline properties,
J. Stat. Phys. 58: 1137-1149 (1990).

J. Miękisz, and C. Radin, Why solids are not really crystalline? 
Phys. Rev. B. 39: 1950-1952 (1989). 

J. Miękisz, Toward a microscopic model of a quasicrystal. 
Phys. Lett. 138A: 415-416 (1989).

A. van Enter, C. Gardner, J. Miękisz, and C. Radin, Fractal symmetry in an Ising model, 
J. Phys. A.: Math. Gen. 22: L1019-L1023 (1989).

J. Miękisz, Nonperiodic order in classical lattice systems,
Nuclear Physics B (Proc. Suppl.) 5A: 122-124 (1988).

J. Miękisz, How low temperature causes long range order,
J. Phys. A.: Math. Gen. 21: L529-L531 (1988).

J. Miękisz, Classical lattice gas model with a unique nondegenerate but unstable periodic ground state configuration, 
Commun. Math. Phys. 111: 533-538 (1987). 
J. Miękisz and C. Radin, The unstable chemical structure of quasicrystalline alloys, 
Phys. Lett. 119A: 133-134 (1986).  

J. Miękisz, Many phases in systems without periodic ground states,  
Commun. Math. Phys. 107, 577-586, (1986).