An equation of pair correlation function has been derived from the first two members of BBGKY hierarchy in a weakly coupled inhomogeneous self gravitating system in quasi thermal equilibrium. This work may be useful to study the thermodynamic properties of the central region of a star cluster which is older than a few or more central relaxation time.

A simple method has been introduced to furnish the equilibrium solution of the Wigner equation for all order of the quantum correction. This process builds up a recursion relation involving the coefficients of the different power of the velocity. The technique greatly relies upon the proper guess work of the trial solution and is different from the Wigner's original work. The solution is in a compact exponential form with a polynomial of velocity in the argument and returns the Wigner's form when expansion of the exponential factor is carried out. The study keeps its importance in studying various close as well as open quantum mechanical system. In addition, this solution may be employed to obtain the nonequilibrium one particle wigner distribution in the relaxation-time approximation and under near-equilibrium conditions. PACS numbers: 05.30.-d, 05.20.Dd

Quantum corrections to nonlinear ion acoustic wave with Landau damping have been computed using Wigner equation approach. The dynamical equation governing the time development of nonlinear ion acoustic wave with semiclassical quantum corrections is shown to have the form of higher KdV equation which has higher order nonlinear terms coming from quantum corrections, with the usual classical and quantum corrected Landau damping integral terms. The conservation of total number of ions is shown from the evolution equation. The decay rate of KdV solitary wave amplitude due to presence of Landau damping terms has been calculated assuming the Landau damping parameter α1 = me/mi to be of the same order of the quantum parameter Q = 2 /(24m 2 c 2 s L 2 ). The amplitude is shown to decay very slowly with time as determined by the quantum factor Q.

The nature of nonlinear electrostatic potential distribution in a dusty plasma is investigated in the presence of dust-dust correlations by developing an equilibrium kinetic equation that contains the effects of pair correlations. For a plasma in equilibrium, the role of pair correlations is to give rise to a force in the kinetic equation that is proportional to the dust density gradient. The solutions of such a kinetic equation with pair correlations and Poisson’s equation in the presence of a trapped particle population are obtained in the small-amplitude limit. The electrostatic potential represents a localized solitary wave-like structure with the amplitude and width varying with the correlation parameter.

Abstract. One known attribute of the photosynthetic apparatus is photon capture and generation of metabolic energy. The thermodynamic implications of fluorescence, invariably associated with the photosynthetic components is however poorly understood. In this paper we report a density dependent amplification of such fluorescence which can be interpreted as a thermodynamic strategy of controlled energy release by the cell. We show in support of this hypothesis that prolonged photoexitation of cell free extract of Rhodobacter capsulatus SB1003 at 395 nm, induces fluorescence emission amplifying with time as long as the fluorophore density is above a critical level. The fact that the amplification disappears at low temperature and at dilute condition, is in accordance with the thermodynamic interpretation that energy is released as per requirement. Live cell imaging is also validation of the phenomenon even at the cellular level. Single cells of Rhodobacter capsulatus SB1003 shows time dependent loss of fluorescence, the process being reversed for cellular clusters. To explain the mechanism of this bistable fluorescence (F) amplification, variation of the scale free kinetic constant k=1/F (dF/dt) is studied at varying temperatures in presence and absence of static magnetic field. The sign of k shifts from positive to negative if T is lowered or if the system is diluted. But at low T, k again switches from negative to positive value,if static magnetic field is applied. The chain of events can be explained by a simple model assuming excretion of a porphyrin by the microbe and possible photon dependent aggregation behavior of such porphyrin complex ,differential temperature and magnetic field sensitivity of the monomeric or aggregated forms of porphyrin being reported earlier.All rights reserved. No reuse allowed without permission.was not peer-reviewed) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity.