Multiparametric and coloured extensions of the quantum group GLq(N)GL_q(N) and the Yangian algebra Y(glN)Y(gl_N) through a symmetry transformation of the Yang-Baxter equation

Inspired by Reshetikhin's twisting procedure to obtain multiparametric extensions of a Hopf algebra, a general `symmetry transformation' of the `particle conserving' $R$-matrix is found such that the resulting multiparametric $R$-matrix, with a spectral parameter as well as a colour parameter, is also a solution of the Yang-Baxter equation (YBE). The corresponding transformation of the quantum YBE reveals a new relation between the associated quantized algebra and its multiparametric deformation. As applications of this general relation to some particular cases, multiparametric and coloured extensions of the quantum group $GL_q(N)$ and the Yangian algebra $Y(gl_N)$ are investigated and their explicit realizations are also discussed. Possible interesting physical applications of such extended Yangian algebras are indicated.Comment: 21 pages, LaTeX (twice). Interesting physical applications of the work are indicated. To appear in Int. J. Mod. Phys.

Effect of integrated nutrient management on growth, productivity, quality and nutrient uptake of irrigated yellow sarson (Brassica campestris L var. yellow sarson) in older alluvial soil of West Bengal

A field experiment was conducted during rabi (winter) seasons of 2007-08 and 2008-09 to study the effect of integrated nutrient management on growth, yield, oil content and nutrient uptake of yellow sarson (Brassica cam-pestris L var. yellow sarson) in older alluvial soil of West Bengal. Significantly higher leaf area index (1.75 at 40 days after sowing; DAS), dry matter accumulation (1366.9 g/m2 at 80 DAS) and highest number of siliquae/plant (118.3), number of seeds/siliqua (21.8), seed yield (1.90 t/ha), stover yield (3.86 t/ha) were recorded significantly (at 5% lev-el) higher with poultry manure (PM) @2.5t/ha +50%RDF (Recommended Dose of Fertilizer i.e. 80-40-40 of N-P2O5-K2O kg/ha) + PSB (phosphate solubilising bacteria) + AZ (Azotobacter) during both the years and on pooled basis. An average of 30.5% and 233% increase in seed yield by this treatment was recorded over sole application of RDF and control respectively. Integrated application of PM (2.5 t/ha) + 50% RDF + PSB + AZ recorded highest oil content (43.16%) and positive effect on soil fertility status. The highest benefit: cost ratios (2.26 and 2.4 in 2007-'08 and 2008-'09 respectively) were achieved from the use of 50% RDF + PM (2.5 t/ha) +PSB+AZ

Effect of nitrogen and foliar spray of potassium nitrate and calcium nitrate on growth and productivity of yellow sarson (Brassica campestris L. var yellow sarson) crop under irrigated condition

A field experiment was conducted during rabi season of 2007-’08 and 2008-’09 to study the effect of calcium nitrate {Ca (NO3)2} and potassium nitrate {KNO3} at 50 % flowering stage and soil applied nitrogen {N: (0, 40 and 80kg N/ha)} on growth, productivity and economics ofyellow sarson at farmers field under irrigated old alluvial soil of West Bengal. Highest leaf area index (LAI) values at 40 days of crop age (1.748 and 1.592), dry matter accumulation (1404.3 and 1288.8 gm-2) at 80 days and crop growth rate (C.G.R) (27.87 and 25.68 g m-2 day-1) in between 40 to 60 days were obtained at Nitrogen application at the rate of 80 kg / ha and mixed spray of 0.203 % Ca (NO3)2 + 0.25 % KNO3 respectively. Soil application of 80 kg N/ ha along with foliar spray of 0.203 % Ca (NO3)2 + 0.25 % KNO3 resulted increase in seed yield (1.68 t ha-1) by 12 % over 80 kg N/ ha with only water spray (1.5 t ha-1). Foliar spray of 0.203 % Ca (NO3)2 + 0.25 % KNO3 improved the yield components and seed yield over their sole application. Application of 80 kg N/ha along with 0.203 % Ca (NO3)2 + 0.25 % KNO3 at 50 % flowering stage was found to be the most effective in increasing yellow sarson production in old alluvial soil

Synthesis and Application of Nano structured Bi layer YSZ LZ Thermal Barrier Coating

Present work is on synthesis of high purity Nano-structured TBC materials, Lanthanum Zirconate and YSZ. They were prepared via wet chemical routes, starting from the indigenous source minerals such as zircon and monazite available in the beach sand. This is first time that the results of TBC materials synthesis from these base minerals, their purification and a high end application being presented comprehensively. Their characterisation and thermal barrier application on aeroengine components have been presented. The total oxide impurities being critical to the life of the coating, could be controlled within 0.03 per cent by weight. On comparison with other powders it was found that the indigenously synthesised YSZ powder had practically 100 per cent tetragonal prime phase and no monoclinic phase; whereas others had significant amounts of monoclinic phases present in them. Both YSZ and LZ powders were sinter agglomerated at 850 °C to preclude the possibility of any contamination and sieved. APS process was used to realise nano-structured bi-layer coating on the exhaust nozzle parts of an aeroengine. The components were subjected to rapid thermal transients during long accelerated endurance testing, equivalent to 1000 h of engine operations. The coatings also withstood the gas erosion of supersonic combustion products, vibratory loads of 4 g and more than 30000 nozzle actuations similar to aircraft maneuver. The paper also presents a brief review of implications of a nano-structured thermal barrier coating and certain nuances of chemical synthesis which forms the backbone of the strategies for durable coatings

Partially Asymmetric Simple Exclusion Model in the Presence of an Impurity on a Ring

We study a generalized two-species model on a ring. The original model [1] describes ordinary particles hopping exclusively in one direction in the presence of an impurity. The impurity hops with a rate different from that of ordinary particles and can be overtaken by them. Here we let the ordinary particles hop also backward with the rate q. Using Matrix Product Ansatz (MPA), we obtain the relevant quadratic algebra. A finite dimensional representation of this algebra enables us to compute the stationary bulk density of the ordinary particles, as well as the speed of impurity on a set of special surfaces of the parameter space. We will obtain the phase structure of this model in the accessible region and show how the phase structure of the original model is modified. In the infinite-volume limit this model presents a shock in one of its phases.Comment: Adding more references and doing minor corrections, 16 pages and 3 Eps figure

Density Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries

The one-dimensional partially asymmetric simple exclusion process with open boundaries is considered. The stationary state, which is known to be constructed in a matrix product form, is studied by applying the theory of q-orthogonal polynomials. Using a formula of the q-Hermite polynomials, the average density profile is computed in the thermodynamic limit. The phase diagram for the correlation length, which was conjectured in the previous work[J. Phys. A {\bf 32} (1999) 7109], is confirmed.Comment: 24 pages, 6 figure

Spontaneous Jamming in One-Dimensional Systems

We study the phenomenon of jamming in driven diffusive systems. We introduce a simple microscopic model in which jamming of a conserved driven species is mediated by the presence of a non-conserved quantity, causing an effective long range interaction of the driven species. We study the model analytically and numerically, providing strong evidence that jamming occurs; however, this proceeds via a strict phase transition (with spontaneous symmetry breaking) only in a prescribed limit. Outside this limit, the nearby transition (characterised by an essential singularity) induces sharp crossovers and transient coarsening phenomena. We discuss the relevance of the model to two physical situations: the clustering of buses, and the clogging of a suspension forced along a pipe.Comment: 8 pages, 4 figures, uses epsfig. Submitted to Europhysics Letter

Matrix product solution to an inhomogeneous multi-species TASEP

We study a multi-species exclusion process with inhomogeneous hopping rates. This model is equivalent to a Markov chain on the symmetric group that corresponds to a random walk in the affine braid arrangement. We find a matrix product representation for the stationary state of this model. We also show that it is equivalent to a graphical construction proposed by Ayyer and Linusson, which generalizes Ferrari and Martin's construction

Transfer matrices for the totally asymmetric exclusion process

We consider the totally asymmetric simple exclusion process (TASEP) on a finite lattice with open boundaries. We show, using the recursive structure of the Markov matrix that encodes the dynamics, that there exist two transfer matrices $T_{L-1,L}$ and $\tilde{T}_{L-1,L}$ that intertwine the Markov matrices of consecutive system sizes: $\tilde{T}_{L-1,L}M_{L-1}=M_{L}T_{L-1,L}$. This semi-conjugation property of the dynamics provides an algebraic counterpart for the matrix-product representation of the steady state of the process.Comment: 7 page