Department of Bioscience & Bioengineering

&ldquo;IIT Jodhpur is committed to impart quality education to facilitate the creation of qualified, competent and responsible human resources to meet the emerging technological challenges of the world. It is working towards creating an equitable learning platform that is positive, accessible and effective in the face of the modern societal and scientific advancements.

Flexibility in curriculum, in all its academic programs, encompassing elements of teaching, research, creativity, innovation and entrepreneurship is the most unique feature of IIT Jodhpur. The Department of Science and Technology (DST), under the National Mission on Cyber Physical Systems, has identified IIT Jodhpur as a Technology &amp; Innovation Hub in the area of Augmented Reality and Virtual Reality. The institute has also been nominated as the coordinator for the Jodhpur City and Knowledge Cluster by the Office of Principal Scientific Adviser, Government of India.

The sprawling 852-acre IIT Jodhpur campus is a majestic tribute to the deep-rooted diverse cultural heritage of the region. The campus is an architectural masterpiece, which is slated to become an international exemplar of sustainability with net-zero energy, and advanced water and waste management strategies.&rdquo;

IIT Jodhpur

Physical properties of a large class of intercalation compounds can be modeled by a two-dimensional (2D) repulsive screened Coulomb system subjected to a substrate corrugation potential. Using molecular dynamics simulation, we have investigated structural, thermodynamic (mainly 2D melting), and dynamic properties of these systems for different intercalant concentrations and corrugated strengths. For parameters appropriate to RbC24, a stage-2 graphite intercalation compound (GIC), we obtain an incommensurate ground state structure consisting of nano domains of triangular plaquettes separated by thick domain walls. A small decrease in the density gives a commensurate periodic domain wall ground state. In contrast to the corrugation-free systems, melting in these systems is continuous. Dynamics in the presence of corrugation show characteristics of a marginal fluid where solid and fluid-like dynamics coexist. © 1994, Taylor & Francis Group, LLC. All rights reserved.

World University root node

Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals

Structure, melting and dynamics of screened coulomb systems in 2d-role of substrate corrugation

A Mori-Lee theoretic study of spin relaxation in the neighborhood of a magnetic impurity in the s=1/2 nearest-neighbor (NN) Heisenberg chain at high temperatures is presented. Our calculations suggest that in the limit of zero impurity coupling, the spectral function for the ''surface spin'' is consistent with a set of discrete frequencies given approximately by wn[n(w0+1/4)-1/4] against a shallow continuum background, where w03J/4 with 2J being the coupling between NN spins. The frequencies broaden as the impurity coupling is increased to the NN coupling. © 1994 The American Physical Society.

Physical Review B

Relaxation in the neighborhood of a magnetic impurity in the s=1/2 Heisenberg chain at high temperatures

Marginal stability and avalanches at angles ΘΘaval are associated with granular media (GM) subject to special conditions. We study the Newtonian dynamics of random size-mismatched hard-core-like disks in a two-dimensional box which confirm claims that avalanches in GM are restricted to a few topmost boundary layers. We find that the velocity profile of the top layer grains, which obey -tγ, typically with 3.5≤γ, signal the onset of an avalanche in GM. Our studies suggest that the dynamics of a single particle in a cosine potential in the presence of a linear field well describes the onset of motion of a top layer grain. © 1994 The American Physical Society.

Physical Review E

Onset of avalanches in granular media

The canonical ensemble position and velocity autocorrelation functions (X and V ACF's) and the power spectra are obtained for a classical particle at T ≈ Γ, Γ ≡barrier height in a symmetric double-well (DW) potential. We report the presence of well defined temperature dependent characteristics frequencies in the VACF and the XACF, both above and below the harmonic frequency in this strongly anharmonic regime. A striking feature of the DW relaxation is that the V (X)ACF's are weakly temperature dependent at T ≈ Γ. © 1994.

Physica A: Statistical Mechanics and its Applications

Classical relaxation in a double well

The authors pointed out the disagreement between their calculation of dynamical correlations and that obtained using the exact result as in [2] can be attributed to two of following reasons: (i) The linear ansatz overestimates the higher coefficients and, given the nonoscillatory growth rate of coefficients with respect to n, suppresses the oscillation [1] in a0(t) thus damping it out faster. (ii) The inverse Laplace transform calculation is typically accurate to 10-4 or so unless a higher accuracy is specifically being sought [1]. © 1994 The American Physical Society.

Physical Review Letters

Sen, Cai, and Mahanti reply

Dynamical correlations in simple quantum spin models can be conveniently studied via the continued fraction formalism in which the Laplace transformed dynamical two-point correlation can be written as C(z) = 1/(z + Δ1/(z + Δ2/(z + to ∞))), where Δn's are functions of static correlations. Very often, for systems without any natural dominant characteristic frequencies, as n increases, Δn ≊ κnα, α=0 or 1, κ being some constant, for large n for simple quantum spin systems. It is suggested that this property of Δn's could be related to some underlying "nearly noninteracting fermionic nature" of these quantum spin systems.

Journal of Applied Physics

A unique feature of some simple many body quantum spin systems

Tumor cell surface sialic acid levels determine a number of important properties governing cellular interactions and cell-cell communication. Towards understanding the mechanism of regulation of sialic acid levels upon cellular transformation, we have studied the regulation of expression of β-galactoside α2, 6-sialyltransferase in a rat tumor, the Zajdela ascitic hepatoma. We demonstrate distinct differences in the regulation of expression of the enzyme in the tumor cells as compared to normal liver cells. The expression of sialyltransferase is regulated both at the transcriptional and post-transcriptional level in a tissue-specific manner. © 1993.

FEBS Letters

Regulation of expression of β-galactoside α2, 6-sialyltransferase in a rat tumor, Zajdela ascitic hepatoma

The Mori-Lee formalism for solving the Liouville (or Heisenberg) equation of motion for Hermitian systems demonstrates that the Laplace-transformed dynamical correlations in canonical ensembles can be written as (in)finite continued fractions. We show that a model-independent direct summation method allows accurate numerical evaluation of all known classes of these (in)finite continued fractions that arise in dynamics problems and thus provides a powerful technique to study the dynamics of many-body and few-body systems. Some studies on dynamical correlations in s=1/2 quantum spin chains are cited as applications of the method presented. © 1993 The American Physical Society.

Dynamical correlations and the direct summation method of evaluating infinite continued fractions

Calculations are presented for the on-site dynamical spin pair correlation of the s=1/2 Heisenberg chain at T=∞. The result for the isotropic chain is consistent with short time analysis. The long time behavior may be interpreted as compatible with exponential decay as well as with power law decay interpretations. The chain with small Ising-like anisotropy also exhibits exponential-like long time decay as found in recent Mössbauer effect spectroscopy work. Preliminary calculations are also presented for the mathematically challenging case of extreme Ising-like anisotropy.

Dynamical spin pair correlations in s=1/2 Heisenberg chain

We use the continued fraction formalism (CFF) to obtain the zz-component of the dynamical spin pair correlations of a transverse Ising model (TIM) in 2 D at T = ∞ for the first time. Our calculations suggest that the correlation function decays algebraically at long times as t-α, 1.5&lt;α&lt;2.2, which is slower than gaussian decay found for the corresponding dynamical correlation in 1 D. The calculations suggest that the corresponding dynamical correlation in 3 D is also likely to exhibit a power law decay. Our results compare favorably with the neutron scattering data on LiTbF4, for T&gt;Tc, an induced moment ferromagnet.