Multicriticality of the (2+1)-dimensional gonihedric model: A realization of the (d,m)=(3,2) Lifshitz point

Multicriticality of the gonihedric model in 2+1 dimensions is investigated numerically. The gonihedric model is a fully frustrated Ising magnet with the finely tuned plaquette-type (four-body and plaquette-diagonal) interactions, which cancel out the domain-wall surface tension. Because the quantum-mechanical fluctuation along the imaginary-time direction is simply ferromagnetic, the criticality of the (2+1)-dimensional gonihedric model should be an anisotropic one; that is, the respective critical indices of real-space (\perp) and imaginary-time (\parallel) sectors do not coincide. Extending the parameter space to control the domain-wall surface tension, we analyze the criticality in terms of the crossover (multicritical) scaling theory. By means of the numerical diagonalization for the clusters with N\le 28 spins, we obtained the correlation-length critical indices (\nu_\perp,\nu_\parallel)=(0.45(10),1.04(27)), and the crossover exponent \phi=0.7(2). Our results are comparable to (\nu_{\perp},\nu_{\parallel})=(0.482,1.230), and \phi=0.688 obtained by Diehl and Shpot for the (d,m)=(3,2) Lifshitz point with the \epsilon-expansion method up to O(\epsilon^2)

Some records of wood-inhabiting fungi on Fagus sylvatica in northern Spain

Es presenta una llista d'algunes recol·leccions interessants de macromicets sobre Fagus, fetes en algunes prospeccions a Astúries i Navarra, en novembre de 2005 . Pel cap baix, Antrodiella fissiliformis, Nemania carbonacea y Phellinus cavicola representen les primeres citacions per a l 'estat espanyol. Des del punt de vista de l' interès per a la conservació de la biodiversitat fúngica, les reserves integrals de Lizardoia i Aztaparreta, a Navarra, es consideren d'especial importància per a la conservació dels fongs saproxílics fagícoles del sud-oest d'Europa. Aquest treball vol estimular també l 'estudi continuat dels fongs lignícoles a les fagedes de l 'estat espanyol.A list is given of some interesting records of lignicolous macrofungi found on Fagus during some excursions in Asturias and Navarra in November 2005 . At least Antrodiella fissiliformis, Nemania carbonacea and Phellinus cavicola represent frrst records for the country. In a conservation perspective, the strict forest reserves Lizardoia and Aztaparreta in Navarra are considered to be important for the conservation of saproxylic fungi on beech in south western Europe. It is our hope that the paper will inspire to continued studies of wood-inhabiting fungi in beech forests in Spain.Se presenta una lista de algunos allaazgos interesantes de macromicetes lignícolas sobre Fagus, realizados durante las prospecciones en Asturias y Navarra, en noviembre de 2005. Por lo menos Antrodiella fissiliformis, Nemania carbonacea y Phellinus cavicola representan primeras citas para España. desde una prespectiva de la conservación de la biodiversidad fúngica, las reservas integrales de L izardoia i Aztaparreta, en Navarra, se consideran de especial importancia para la conservación de los hongos saproxílicos fagícolas en el sudoeste de Europa. Este trabajo esta orientado también a fomentar el estudio continuado de los hongos lignícolas en los hayedos de España

Some records of wood-inhabiting fungi on Fagus sylvatica in northern Spain

Es presenta una llista d'algunes recol·leccions interessants de macromicets sobre Fagus, fetes en algunes prospeccions a Astúries i Navarra, en novembre de 2005 . Pel cap baix, Antrodiella fissiliformis, Nemania carbonacea y Phellinus cavicola representen les primeres citacions per a l 'estat espanyol. Des del punt de vista de l' interès per a la conservació de la biodiversitat fúngica, les reserves integrals de Lizardoia i Aztaparreta, a Navarra, es consideren d'especial importància per a la conservació dels fongs saproxílics fagícoles del sud-oest d'Europa. Aquest treball vol estimular també l 'estudi continuat dels fongs lignícoles a les fagedes de l 'estat espanyol.Se presenta una lista de algunos allaazgos interesantes de macromicetes lignícolas sobre Fagus, realizados durante las prospecciones en Asturias y Navarra, en noviembre de 2005. Por lo menos Antrodiella fissiliformis, Nemania carbonacea y Phellinus cavicola representan primeras citas para España. desde una prespectiva de la conservación de la biodiversidad fúngica, las reservas integrales de L izardoia i Aztaparreta, en Navarra, se consideran de especial importancia para la conservación de los hongos saproxílicos fagícolas en el sudoeste de Europa. Este trabajo esta orientado también a fomentar el estudio continuado de los hongos lignícolas en los hayedos de España.A list is given of some interesting records of lignicolous macrofungi found on Fagus during some excursions in Asturias and Navarra in November 2005 . At least Antrodiella fissiliformis, Nemania carbonacea and Phellinus cavicola represent frrst records for the country. In a conservation perspective, the strict forest reserves Lizardoia and Aztaparreta in Navarra are considered to be important for the conservation of saproxylic fungi on beech in south western Europe. It is our hope that the paper will inspire to continued studies of wood-inhabiting fungi in beech forests in Spain

Entropy-driven phase transition in a polydisperse hard-rods lattice system

We study a system of rods on the 2d square lattice, with hard-core exclusion. Each rod has a length between 2 and N. We show that, when N is sufficiently large, and for suitable fugacity, there are several distinct Gibbs states, with orientational long-range order. This is in sharp contrast with the case N=2 (the monomer-dimer model), for which Heilmann and Lieb proved absence of phase transition at any fugacity. This is the first example of a pure hard-core system with phases displaying orientational order, but not translational order; this is a fundamental characteristic feature of liquid crystals

Scalable quantum tomography in a photonic chip

© 2017 IEEE. We formulate a method of quantum tomography that scales linearly with the number of photons and involves only one optical transformation. We demonstrate it experimentally for two-photon entangled states using a special photonic chip

Sublinear-Time Algorithms for Monomer-Dimer Systems on Bounded Degree Graphs

For a graph $G$, let $Z(G,\lambda)$ be the partition function of the monomer-dimer system defined by $\sum_k m_k(G)\lambda^k$, where $m_k(G)$ is the number of matchings of size $k$ in $G$. We consider graphs of bounded degree and develop a sublinear-time algorithm for estimating $\log Z(G,\lambda)$ at an arbitrary value $\lambda>0$ within additive error $\epsilon n$ with high probability. The query complexity of our algorithm does not depend on the size of $G$ and is polynomial in $1/\epsilon$, and we also provide a lower bound quadratic in $1/\epsilon$ for this problem. This is the first analysis of a sublinear-time approximation algorithm for a # P-complete problem. Our approach is based on the correlation decay of the Gibbs distribution associated with $Z(G,\lambda)$. We show that our algorithm approximates the probability for a vertex to be covered by a matching, sampled according to this Gibbs distribution, in a near-optimal sublinear time. We extend our results to approximate the average size and the entropy of such a matching within an additive error with high probability, where again the query complexity is polynomial in $1/\epsilon$ and the lower bound is quadratic in $1/\epsilon$. Our algorithms are simple to implement and of practical use when dealing with massive datasets. Our results extend to other systems where the correlation decay is known to hold as for the independent set problem up to the critical activity

Soil and Vegetation Drive Sesquiterpene Lactone Content and Profile in Arnica montana L. Flower Heads From Apuseni-Mountains, Romania

Arnica montana L. (AM, Asteraceae) is a perennial, herbaceous vascular plant species of commercial importance. The flower heads’ pharmacological properties are attributed mainly to sesquiterpene lactones (SLs), with phenolic acids and flavonoids also considered of relevance. The botanical drug is still partly collected in different European mountain regions. The SL content can be influenced by genetic factors and environmental conditions (altitude, temperature and rainfall). Surprisingly, the influence of the soil on SL-content have rarely been investigated. However, the soil determines the occurrence, distribution and overall fitness of AM. Equally, environmental factors are crucial determinants for the biosynthesis and fluctuations in plant secondary metabolites. Therefore, different abiotic (pH, C/N ratio, base saturation, cation exchange capacity) and biotic (species richness, vegetation cover) parameters need to be assessed as potential drivers of the variable content of AM’s secondary metabolites. Consequently, we developed an in situ experimental design aiming to cover a wide range of soil pH conditions. We detected and investigated different AM populations growing in grassland on acidic soils, on siliceous as well as calcareous geologies within the same geographical region and altitudinal belt. The total SL content and most single SL contents of the AM flower heads differed significantly between the two geologies. AM flower heads of plants growing on loam on limestone showed a significant higher total SL content than the flower heads of plants growing in siliceous grasslands. Furthermore, the SL contents were significantly correlated with geobotanical species richness and vegetation cover pointing toward an effect of species interactions on the production of SLs. Moreover, the ratios of the main SLs helenalin to dihydrohelenalin esters were significantly correlated to environmental parameters indicating that SL composition might be a function of habitat conditions. The findings of this study shed light upon the often ignored, complex interactions between environmental conditions and plant secondary metabolites. We highlight the importance of both abiotic and biotic habitat parameters for SLs in AM