Lev D . Landau

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The question about continuous phase transitions (without latent heat) is investigated from the general thermodynamical point of view. In doing this, it becomes clear that such transitions can take place when the symmetry of the lattice changes. There are two possible types of transition, namely: (1) Curie points with a discontinuity in the specific heat(More)
We define a model of quantum computation with local fermionic modes (LFMs) — sites which can be either empty or occupied by a fermion. With the standard correspondence between the Foch space of m LFMs and the Hilbert space of m qubits, simulation of one fermionic gate takes O(m) qubit gates and vice versa. We show that using different encodings, the(More)
The relationship of local ordering and long-range order is studied for quasicrystalline tilings of plane and space. Two versions of the concept of local rules are introduced: strong and weak. Necessary conditions of the existence of strong local rules are found. They are mainly reduced to the constraints for irrational numbers related to(More)
A free field representation for the type I vertex operators and the corner transfer matrices of the eight-vertex model is proposed. The construction uses the vertex-face correspondence, which makes it possible to expresses correlation functions of the eight-vertex model in terms of correlation functions of the SOS model with a nonlocal insertion. This new(More)
Laboratory aquarium experiments demonstrated that Vibrio strain AK-1 caused rapid and extensive bleaching of the coral Oculina patagonica at 29 degrees C, slower and less-complete bleaching at 23 degrees C, and no bleaching at 16 degrees C. At 29 degrees C, the application of approximately 100 Vibrio strain AK-1 cells directly onto the coral caused 50 and(More)
The effect whereby waves are amplified during reflection from a rotating "black hole" is investigated. This process is connected with the extraction of energy and momentum from a "black hole." The conditions for the existence of the effect are found. The amplification factor is computed for the model case of scalar waves. For waves with frequencies which do(More)
A highly degenerate family of states, in which the adjacent plaquettes with the same sign of vorticity form clusters of three fproposed in Phys. Rev. B 63, 134503 s2001dg, is proven to really minimize the Hamiltonian of the fully frustrated XY model on a dice lattice. The harmonic fluctuations are demonstrated to be of no consequence for the removal of the(More)