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Search Results: 1 - 10 of 400022 matches for " J. K. Bhattacharjee "
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Effects of non-denumerable fixed points in finite dynamical systems
Sagar Chakraborty,J. K. Bhattacharjee
Physics , 2006, DOI: 10.1063/1.2889166
Abstract: The motion of a spinning football brings forth the possible existence of a whole class of finite dynamical systems where there may be non-denumerably infinite number of fixed points. They defy the very traditional meaning of the fixed point that a point on the fixed point in the phase space should remain there forever, for, a fixed point can evolve as well! Under such considerations one can argue that a free-kicked football should be non-chaotic.
On the third order structure function for rotating 3D homogeneous turbulent flow
Sagar Chakraborty,J. K. Bhattacharjee
Physics , 2007, DOI: 10.1103/PhysRevE.76.036304
Abstract: A form for the two-point third order structure function has been calculated for three dimensional homogeneous incompressible slowly rotating turbulent fluid. It has been argued that it may possibly hint at the initiation of the phenomenon of two-dimensionalisation of the 3D incompressible turbulence owing to rotation.
Asymmetry of the work probability distribution
Arnab Saha,J. K. Bhattacharjee
Physics , 2006, DOI: 10.1088/1751-8113/40/44/008
Abstract: We show, both analytically and numerically, that for a nonlinear system making a transition from one equilibrium state to another under the action of an external time dependent force, the work probability distribution is in general asymmetric.
Stability and The Existence of Coherent Structure in Demixed State of Binary BEC
Sukla Pal,J. K. Bhattacharjee
Physics , 2011,
Abstract: From a linear stability analysis of the Gross Pitaevskii equation for binary Bose Einstein condensates, it is found that the uniform state becomes unstable to a periodic perturbation of wave number k if k exceeds a critical value kc. However we find that a stationary spatially periodic state does not exist. We show the existence of pulse type solutions, when the pulse structure for one condensate is strongly influenced by the presence of the other condensate.
ESS and Dissipation Range Dynamics of 3-D Turbulence
Anirban Sain,J. K. Bhattacharjee
Physics , 1997,
Abstract: We carry out a self consistent calculation of the structure functions in the dissipation range using Navier Stokes equation. Combining these results with the known structures in the inertial range, we actually propose crossover functions for the structure functions that takes one smoothly from the inertial to the dissipation regime. In the process the success of the extended self similarity is explicitly demonstrated.
Wavelength Doulbing Bifurcations In A Reaction Diffusion System
Deepak Kar,J K Bhattacharjee
Physics , 2002,
Abstract: In a two species reaction diffusion system,we show that it is possible to generate a set of wavelength doubling bifuractions leading to spatially chaotic state.The wavelength doubling bifurcations are preceded by a symmetry breaking transition which acts as a precursor.
Critical Ultrasonics Near the Superfluid Transition : Finite Size Effects
Saugata Bhattacharyya,J. K. Bhattacharjee
Physics , 1998, DOI: 10.1088/0305-4470/31/34/001
Abstract: The suppression of order parameter fluctuations at the boundaries causes the ultrasonic attenuation near the superfluid transition to be lowered below the bulk value. We calculate explicitly the first deviation from the bulk value for temperatures above the lambda point. This deviation is significantly larger than for static quantities like the thermodynamic specific heat or other transport properties like the thermal conductivity. This makes ultrasonics a very effective probe for finite size effects.
Scaling Function for the Critical Specific Heat in a Confined Geometry : Spherical Limit
Saugata Bhattacharyya,J. K. Bhattacharjee
Physics , 1998, DOI: 10.1103/PhysRevB.59.3341
Abstract: The scaling function for the critical specific heat is obtained exactly for temperatures above the bulk transition temperature by working in the spherical limit. Generalization of the function to arbitrary $\alpha$ (the specific heat exponent), gives an excellent account of the experimental data of Mehta and Gasparini near the superfluid transition.
Chaos in the Quantum Double Well Oscillator: The Ehrenfest View Revisited
J. K. Bhattacharjee,Analabha Roy
Physics , 2001,
Abstract: We treat the double well quantum oscillator from the standpoint of the Ehrenfest equation but in a manner different from Pattanayak and Schieve. We show that for short times there can be chaotic motion due to quantum fluctuations, but over sufficiently long times the behaviour is normal.
Finite Size Effect in Persistence
D. Chakraborty,J. K. Bhattacharjee
Physics , 2006, DOI: 10.1103/PhysRevE.75.011111
Abstract: We have investigated the random walk problem in a finite system and studied the crossover induced in the the persistence probability scales by the system size.Analytical and numerical work show that the scaling function is an exponentially decaying function.The particle here is trapped with in a box of size $L$ . We have also considered the problem when the particle in trapped in a potential. Direct calculation and numerical result show that the scaling function here also an exponentially decaying function. We also present numerical works on harmonically trapped randomly accelerated particle and randomly accelerated particle with viscous drag.
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