Wave propagation in a sandwich structure (2009)
Liu, Liping, Bhattacharya, Kaushik
The propagation of elastic waves in a sandwich structure with two thin stiff face-plates and a thick compliant core is considered in this paper. A complete description of the dispersion relation with...
Gauge transformation through an accelerated frame of reference (2009)
Shukla, Ashish, Bhattacharya, Kaushik
The Schr\"{o}dinger equation of a charged particle in a uniform electric field can be specified in either a time-independent or a time-dependent gauge. The wave-function solutions in these two gauges...
THEORY OFMARTENSITIC MICROSTRUCTURE AND THE SHAPE-MEMORY EFFECT (2009)
This chapter describes a theory of martensitic microstructure. The theory explains why martensites form microstructure and describes how this microstructure depends, often delicately, on the...
The electric charge and magnetic moment of neutral fundamental particles (2009)
The article focuses on the issue of the two definitions of charge, mainly the gauge charge and the effective charge of fundamental particles. Most textbooks on classical electromagnetism and quantum...
Transmission wavefront shearing interferometry for photoelastic materials (2009)
Kramer, Sharlotte L. B., Ravichandran, Guruswami, Bhattacharya, Kaushik
A general analysis and experimental validation of transmission wavefront shearing interferometry for photoelastic materials are presented. These interferometers applied to optically isotropic...
Givli, Sefi, Bhattacharya, Kaushik
A theoretical framework for predicting the macroscopic behavior of a muscle myofibril based on the collective behavior of sarcomeres is presented. The analysis is accomplished by rigorously...
Stress-induced phase transormations in shape-memory polycrystals (2009)
Bhattacharya, Kaushik, Schlömerkemper, Anja
Shape-memory alloys undergo a solid-to-solid phase transformation involving a change of crystal structure. We examine model problems in the scalar setting motivated by the situation when this...
Neutrino absorption by W production in the presence of a magnetic field (2008)
Bhattacharya, Kaushik, Sahu, Sarira
In this work we calculate the decay rate of the electron type neutrinos into $W$ bosons and electrons in presence of an external uniform magnetic field. The decay rate is calculated from the...
Electrooptic Modulation in Thin Film Barium Titanate Plasmonic Interferometers (2008)
Dicken, Matthew J., Sweatlock, Luke A., Pacifici, Domenico, Lezec, Henri J., Bhattacharya, Kaushik, Atwater, Harry A.
We demonstrate control of the surface plasmon polariton wavevector in an active metal−dielectric plasmonic interferometer by utilizing electrooptic barium titanate as the dielectric layer. Arrays...
Origin of undesirable cracks during layer transfer (2008)
Ponson, Laurent, Diest, Kenneth, Atwater, Harry, Ravichandran, Guruswami, Bhattacharya, Kaushik
We investigate the origin of undesirable transverse cracks often observed in thin films obtained by the layer transfer technique. During this process, two crystals bonded to each other containing a...
Isaac V. Chenchiah, Kaushik Bhattacharya
The elastic energy of a multiphase solid is a function of its microstructure. Determining the infimum of the energy of such a solid and characterizing the associated optimal microstructures is an...
Kaushik Bhattacharya, Bo Li, Mitchell Luskin
Abstract. We study simply laminated microstructures of a martensitic crystal capable of undergoing a cubic to orthorhombic transformation of type P (432)!P (222)0. The free energy density modeling...
Kaushik Bhattacharya, Bo Li, Mitchell Luskin
Abstract. We study simply laminated microstructures of a martensitic crystal capable of undergoing a cubic to orthorhombic transformation of type P �432 �!P�222�0. The free energy density...
Origin of undesirable cracks during layer transfer (2008)
Ponson, Laurent, Diest, Kenneth, Atwater, Harry, Ravichandran, Guruswami, Bhattacharya, Kaushik
We investigate the origin of undesirable transverse cracks often observed in thin films obtained by the layer transfer technique. During this process, two crystals bonded to each other containing a...
Origin of undesirable cracks during layer transfer (2008)
Ponson, Laurent, Diest, Kenneth, Atwater, Harry, Ravichandran, Guruswami, Bhattacharya, Kaushik
We investigate the origin of undesirable transverse cracks often observed in thin films obtained by the layer transfer technique. During this process, two crystals bonded to each other containing a...
A sharp interface model for the propagation of martensitic phase boundaries (2008)
Dondl, Patrick W., Bhattacharya, Kaushik
A model for the quasistatic evolution of martensitic phase boundaries is presented. The model is essentially the gradient flow of an energy that can contains elastic energy due to the underlying...
Thin Films With Many Small Cracks (2007)
Kaushik Bhattacharya Division, Kaushik Bhattacharya, Andrea Braides
We show with an example that the limiting theory as thickness goes to zero of a thin film with many small cracks can be three-dimensional rather than two-dimensional. 1991 Amer. Math. Soc. subject...
Kaushik Bhattacharya, Bo Li, Mitchell Luskin
. We study simply laminated microstructures of a martensitic crystal capable of undergoing a cubic to orthorhombic transformation of type P (432) ! P (222) 0 . The free energy density modeling such a...
Neutrino self-energy in a magnetized charge-symmetric medium (2007)
Garcia, Alberto Bravo, Bhattacharya, Kaushik, Sahu, Sarira
In this talk we present the calculation of the neutrino self-energy in presence of a magnetized medium. The magnetized medium consists of electrons, positrons, neutrinos and a uniform classical...
Vacancy clustering and prismatic dislocation loop formation in aluminum (2007)
Gavirini, Vikram, Bhattacharya, Kaushik, Ortiz, Michael
The formation of prismatic dislocation loops is an important factor leading to radiation damage of metals. However, the formation mechanism and the size of the smallest stable loop has remained...
A micromechanics-inspired constitutive model for shape-memory alloys (2007)
Sadjadpour, Amir, Bhattacharya, Kaushik
This paper presents a three-dimensional constitutive model for shape-memory alloys that generalizes the one-dimensional model presented earlier (Sadjadpour and Bhattacharya 2007 Smart Mater. Struct....
Dayal, Kaushik, Bhattacharya, Kaushik
Ferroelectrics have many unusual properties. Two properties that are often exploited are first, their complex, nonlinear optical response and second, their strong nonlinear coupling between...
The neutrino self-energy in a magnetized medium (2007)
Garcia, Alberto Bravo, Bhattacharya, Kaushik, Sahu, Sarira
In this work we calculate the neutrino self-energy in presence of a magnetized medium. The magnetized medium consists of electrons, positrons, neutrinos and a uniform classical magnetic field. The...
Some intricacies of the momentum operator in quantum mechanics (2007)
Roy, Utpal, Ghosh, Suranjana, Bhattacharya, Kaushik
In quantum mechanics textbooks the momentum operator is defined in the Cartesian coordinates and rarely the form of the momentum operator in spherical polar coordinates is discussed. Consequently one...
Solution of the Dirac equation in presence of an uniform magnetic field (2007)
In this work we discuss the properties of the solutions of the Dirac equation in presence of an uniform background magnetic field. In particular we focus on the nature of the solutions, their...
Reality of linear and angular momentum expectation values in bound states (2007)
Roy, Utpal, Ghosh, Suranjana, Shreecharan, T., Bhattacharya, Kaushik
In quantum mechanics textbooks the momentum operator is defined in the Cartesian coordinates and rarely the form of the momentum operator in spherical polar coordinates is discussed. Consequently one...
Sadjadpour, Amir, Bhattacharya, Kaushik
This paper presents a constitutive model for shape-memory alloys that builds on ideas generated from recent micromechanical studies of the underlying microstructure. The presentation here is in one...
Graded ferroelectric capacitors with robust temperature characteristics (2006)
El-Naggar, Mohamed Y., Dayal, Kaushik, Goodwin, David G., Bhattacharya, Kaushik
Ferroelectric thin films offer the possibility of engineering the dielectric response for tunable components in frequency-agile rf and microwave devices. However, this approach often leads to an...
Kinetics of phase transformations in the peridynamic formulation of continuum mechanics (2006)
Dayal, Kaushik, Bhattacharya, Kaushik
We study the kinetics of phase transformations in solids using the peridynamic formulation of continuum mechanics. The peridynamic theory is a nonlocal formulation that does not involve spatial...
Leptogenesis and low energy CP phases with two heavy neutrinos (2006)
Bhattacharya, Kaushik, Sahu, Narendra, Sarkar, Utpal, Singh, Santosh K.
An attractive explanation for non-zero neutrino masses and small matter antimatter asymmetry of the present Universe lies in "leptogenesis". At present the {\it size} of the lepton asymmetry is...
Enhanced polarization of CMB from thermal gravitational waves (2006)
Bhattacharya, Kaushik, Mohanty, Subhendra, Nautiyal, Akhilesh
If inflation was preceded by a radiation era then at the time of inflation there will exist a decoupled thermal distribution of gravitons. Gravitational waves generated during inflation will be...
Franck, Christian, Ravichandran, Guruswami, Bhattacharya, Kaushik
In this letter a method to simultaneously measure the physical and the polarization thickness of a 90° domain wall in a ferroelectric perovskite is presented. This method combines accurate atomic...
Decay of Spin-One Particle into Two Photons in Presence of Uniform External Magnetic Field (2006)
Angom, Dilip, Bhattacharya, Kaushik, Rindani, Saurabh D.
Yang's theorem states that an initial J=1 state cannot decay into two photons. Because of this result some reactions relating to elementary particles or atomic transitions can be ruled out. The...
See-saw fermion masses in an SO(10) GUT (2006)
Bhattacharya, Kaushik, Das, C. R., Desai, Bipin R., Rajasekaran, G., Sarkar, Utpal
In this work we study an SO(10) GUT model with minimum Higgs representations belonging only to the 210 and 16 dimensional representations of SO(10). We add a singlet fermion S in addition to the...
Depletion Layers and Domain Walls in Semiconducting Ferroelectric Thin Films (2005)
Xiao, Yu, Shenoy, Vivek B., Bhattacharya, Kaushik
Commonly used ferroelectric perovskites are also wide-band-gap semiconductors. In such materials, the polarization and the space-charge distribution are intimately coupled, and this Letter studies...
Elementary particle scatterings and decays in presence of a background magnetic field are very common in physics, specially after the observation that the core of the neutron stars can sustain a...
Temperature of the inflaton and duration of inflation from WMAP data (2005)
Bhattacharya, Kaushik, Mohanty, Subhendra, Rangarajan, Raghavan
If the initial state of the inflaton field is taken to have a thermal distribution instead of the conventional zero particle vacuum state then the curvature power spectrum gets modified by a...
Examples of nonlinear homogenization involving degenerate energies. I. Plane strain (2005)
V. Chenchiah, Kaushik Bhattacharya
The study of polycrystals of shape-memory alloys and rigid-perfectly plastic materials gives rise to problems of nonlinear homogenization involving degenerate energies. This paper presents a...
Huang, Cheng, Zhang, Q. M., DeBotton, Gal, Bhattacharya, Kaushik
By combining the high-dielectric copper phthalocyanine oligomer (PolyCuPc) and conductive polyanline (PANI) within polyurethane (PU) matrix an all-organic three-component dielectric-percolative...
Reporting surgical errors: myth or reality? (2004)
Bhattacharya, Kaushik, Cathrine, Neela A.
Medical errors have now been listed as an important cause of death, and are manifest in the numerous litigations that occur in the present day. Reporting of errors includes the mildest of...
Crystal symmetry and the reversibility of martensitic transformations (2004)
Kaushik Bhattacharya, Sergio Conti, Giovanni Zanzotto, Johannes Zimmer
All authors contributed equally to this work. Martensitic transformations are diffusionless solid-to-solid phase transitions characterized by a rapid change of crystal structure, observed in metals,...
The Axialvector-Vector Amplitude and Neutrino Effective Charge in a Magnetized Medium (2003)
Bhattacharya, Kaushik, Ganguly, Avijit K.
To one loop the effective neutrino photon interaction takes place through the vector-vector type and the axialvector-vector type amplitude. In this work we explicitly write down the form of the...
Neutrinos and magnetic fields: a short review (2002)
Bhattacharya, Kaushik, Pal, Palash B.
Neutrinos have no electric charge, but a magnetic field can indirectly affect neutrino properties and interactions through its effect on charged particles. After a brief field-theoretic discussion of...
Inverse beta-decay of arbitrarily polarized neutrons in a magnetic field (2002)
Bhattacharya, Kaushik, Pal, Palash B.
We calculate the cross section of the inverse beta decay process, $\nu_e+n\to p+e$, in a background magnetic field which is much smaller than $m_p^2/e$. Using exact solutions of the Dirac equation in...
Effective Neutrino Photon Interaction in a Magnetized Medium (2001)
Bhattacharya, Kaushik, Ganguly, Avijit K., Konar, Sushan
Neutrino-photon processes, forbidden in vacuum, can take place in presence of a thermal medium or an external electro-magnetic field, mediated by the corresponding charged leptons (real or virtual)....
Neutrino scattering in strong magnetic fields (2000)
Bhattacharya, Kaushik, Pal, Palash B.
We show that neutrino cross sections are direction dependent in a background magnetic field.
Thin films with many small cracks (1999)
Bhattacharya, Kaushik, Braides, Andrea
We show with an example that the limiting theory as thickness goes to zero of a thin film with many small cracks can be three dimensional rather than two dimensional.
Kaushik Bhattacharya, Bo Li, Mitchell Luskin
. We study simply laminated microstructures of a martensitic crystal capable of undergoing a cubic to orthorhombic transformation of type P (432) ! P (222) 0 . The free energy density modeling such a...
Relaxation of Some Multi-Well Problems (1998)
Kaushik Bhattacharya, Kaushik Bhattacharya, Georg Dolzmann, Georg Dolzmann
. Mathematical models of phase transitions in solids lead to the variational problem, minimize R\Omega W (Du)dx where W has a multi-well structure: W = 0 on a multi-well set K and W ? 0 otherwise. We...
Kaushik Bhattacharya, Bo Li, Mitchell Luskin
. We study simply laminated microstructures of a martensitic crystal capable of undergoing a cubic to orthorhombic transformation of type P (432) ! P (222) 0 . The free energy density modeling such a...
Modelling Aggregate Consumption Growth with Time-Varying Parameters
Jürgen Arns, Kaushik Bhattacharya
Using the Family Expenditure Survey (FES) data for the United Kingdom (UK), the paper specifies and estimates a ’complete’ Hilden- brand Kneip (HK) model of consumption, extending earlier efforts...
Price Convergence across Regions in India
Samarjit Das, Kaushik Bhattacharya
The paper attempts to examine whether there is price convergence across various regions in India. Our results indicate significant presence of cross-sectional de- pendence in prices in India,...
The paper examines the quality of the BankScope database, by comparing results based on it to those obtained from the population-level data for India disseminated by the Reserve Bank of India....
An Almon Approximation of the Day of the Month Effect in Currency in Circulation
Kaushik Bhattacharya, Himanshu Joshi
In recent years, increasing importance of active day-to-day asset-liability management by banks and liquidity management by central banks renders that short-term seasonalities in monetary series...
Asymmetry in Precautionary Saving under Employment Uncertainty
This paper discusses the implications of asymmetry in future income on consumption under the specification of constant absolute risk aversion utility function with the help of a two period model. The...
Bhattacharya, Kaushik, Das, Samarjit
The paper examines the nature and the extent of structural changes in the process of price discovery at the beginning of a trading session in the Indian capital market. Invoking cointegration of the...
Modelling Currency in Circulation in India.
Bhattacharya, Kaushik, Joshi, Himanshu
In the literature, currency in circulation is typically estimated either by specifying a standard currency demand equation based on the theory of transaction or portfolio demand for money or by a...
Kaushik Bhattacharya, Nityananda Sarkar, Debabrata Mukhopadhyay
This paper examines the stability of the day of the week effect in returns and volatility at the Indian capital market, covering the period January 1991-September 2000. The paper specifies a...
Price convergence across regions in India
Samarjit Das, Kaushik Bhattacharya
Cross co-integration, Cross-sectional dependence, Panel unit root tests, Common factor, Price convergence, C23, E31,