951 research outputs found
Manifolds in random media: A variational approach to the spatial probability distribution
We develop a new variational scheme to approximate the position dependent
spatial probability distribution of a zero dimensional manifold in a random
medium. This celebrated 'toy-model' is associated via a mapping with directed
polymers in 1+1 dimension, and also describes features of the
commensurate-incommensurate phase transition. It consists of a pointlike
'interface' in one dimension subject to a combination of a harmonic potential
plus a random potential with long range spatial correlations. The variational
approach we develop gives far better results for the tail of the spatial
distribution than the hamiltonian version, developed by Mezard and Parisi, as
compared with numerical simulations for a range of temperatures. This is
because the variational parameters are determined as functions of position. The
replica method is utilized, and solutions for the variational parameters are
presented. In this paper we limit ourselves to the replica symmetric solution.Comment: 22 pages, 3 figures available on request, Revte
Pendidikan Reproduksi (Seks) Pada Remaja; Perspektif Pendidikan Islam
As a belief system that emphasizes intregral living world and the hereafter, Islam also has the attention to the problem of reproductive (sex education). Sex education in Islam is not only intended for individuals who have already reached puberty but is also aimed at children from an early age. One of the important phases of age in human life is adolescence (puberty). Sex education to adolescents have urgency as education and anticipation of deviant behavior inflicted on the puberty. Islam underlines sex education as an integral part of education monoteism, worship and morality. This paper presents an overview of reproductive education in adolescents according to the perspective of Islamic education
Witnessing multipartite entanglement by detecting asymmetry
The characterization of quantum coherence in the context of quantum
information theory and its interplay with quantum correlations is currently
subject of intense study. Coherence in an Hamiltonian eigenbasis yields
asymmetry, the ability of a quantum system to break a dynamical symmetry
generated by the Hamiltonian. We here propose an experimental strategy to
witness multipartite entanglement in many-body systems by evaluating the
asymmetry with respect to an additive Hamiltonian. We test our scheme by
simulating asymmetry and entanglement detection in a three-qubit GHZ-diagonal
state.Comment: more examples and discussion in the open access published versio
Loop-erased random walk and Poisson kernel on planar graphs
Lawler, Schramm and Werner showed that the scaling limit of the loop-erased
random walk on is . We consider scaling limits
of the loop-erasure of random walks on other planar graphs (graphs embedded
into so that edges do not cross one another). We show that if the
scaling limit of the random walk is planar Brownian motion, then the scaling
limit of its loop-erasure is . Our main contribution is showing
that for such graphs, the discrete Poisson kernel can be approximated by the
continuous one. One example is the infinite component of super-critical
percolation on . Berger and Biskup showed that the scaling limit
of the random walk on this graph is planar Brownian motion. Our results imply
that the scaling limit of the loop-erased random walk on the super-critical
percolation cluster is .Comment: Published in at http://dx.doi.org/10.1214/10-AOP579 the Annals of
Probability (http://www.imstat.org/aop/) by the Institute of Mathematical
Statistics (http://www.imstat.org
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