1,995 research outputs found
A note on -axially symmetric harmonic maps from to minimizing the relaxed energy
For any n>1 we give an explicit example of an n-axially symmetric Cartesian
current in B^3 x S^2 with non-trivial vertical part and non-constant graph part
minimizing the relaxed Dirichlet energy among the n-axially symmetric Cartesian
currents with the same boundary. This stands in sharp contrast with a results
of Hardt, Lin and Poon for the case n=1.Comment: 17 page
Linear Quantum Entropy and Non-Hermitian Hamiltonians
We consider the description of open quantum systems with probability sinks
(or sources) in terms of general non-Hermitian Hamiltonians.~Within such a
framework, we study novel possible definitions of the quantum linear entropy as
an indicator of the flow of information during the dynamics. Such linear
entropy functionals are necessary in the case of a partially Wigner-transformed
non-Hermitian Hamiltonian (which is typically useful within a mixed
quantum-classical representation). Both the case of a system represented by a
pure non-Hermitian Hamiltonian as well as that of the case of non-Hermitian
dynamics in a classical bath are explicitly considered.Comment: Entropy, Special Issue "Entropy in Quantum Systems and Quantum Field
Theory (QFT)
Hexatic phase and water-like anomalies in a two-dimensional fluid of particles with a weakly softened core
We study a two-dimensional fluid of particles interacting through a
spherically-symmetric and marginally soft two-body repulsion. This model can
exist in three different crystal phases, one of them with square symmetry and
the other two triangular. We show that, while the triangular solids first melt
into a hexatic fluid, the square solid is directly transformed on heating into
an isotropic fluid through a first-order transition, with no intermediate
tetratic phase. In the low-pressure triangular and square crystals melting is
reentrant provided the temperature is not too low, but without the necessity of
two competing nearest-neighbor distances over a range of pressures. A whole
spectrum of water-like fluid anomalies completes the picture for this model
potential.Comment: 26 pages, 14 figures; printed article available at
http://link.aip.org/link/?jcp/137/10450
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