Zobrazeno 1 - 10
of 457
pro vyhledávání: '"Bhaduri, A. K."'
We discuss $Q(n)$, the number of ways a given integer $n$ may be written as a sum of distinct primes, and study its asymptotic form $Q_{as}(n)$ valid in the limit $n\to\infty$. We obtain $Q_{as}(n)$ by Laplace inverting the fermionic partition functi
Externí odkaz:
http://arxiv.org/abs/1904.02776
Autor:
Das, Saurya, Bhaduri, Rajat K.
We show that Dark Matter consisting of ultralight bosons in a Bose-Einstein condensate induces, via its quantum potential, a small positive cosmological constant which matches the observed value. This explains its origin and why the densities of Dark
Externí odkaz:
http://arxiv.org/abs/1812.07647
Autor:
Das, Saurya, Bhaduri, R. K.
Applying the seminal work of Bose in 1924 on what was later known as Bose-Einstein statistics, Einstein predicted in 1925 that at sufficiently low temperatures, a macroscopic fraction of constituents of a gas of bosons will drop down to the lowest av
Externí odkaz:
http://arxiv.org/abs/1808.10505
Publikováno v:
Phys. Rev. E 98, 052131 (2018)
We study the number $P(n)$ of partitions of an integer $n$ into sums of distinct squares and derive an integral representation of the function $P(n)$. Using semi-classical and quantum statistical methods, we determine its asymptotic average part $P_{
Externí odkaz:
http://arxiv.org/abs/1808.05146
Publikováno v:
Phys. Rev. E 95, 052108 (2017)
In this paper, we discuss P(n), the number of ways in which a given integer n may be written as a sum of primes. In particular, an asymptotic form P_as(n) valid for n towards infinity is obtained analytically using standard techniques of quantum stat
Externí odkaz:
http://arxiv.org/abs/1609.06497
Cleavage crack propagation has been investigated in a low-carbon lath-martensitic steel using electron back-scattered diffraction technique. The ability of different martensitic boundaries within prior-austenite grain, such as sub-block, block and pa
Externí odkaz:
http://arxiv.org/abs/1606.09474
Autor:
Bhaduri, Rajat K., van Dijk, Wytse
We consider an ideal Bose gas contained in a cylinder in three spatial dimensions, subjected to a uniform gravitational field. It has been claimed by some authors that there is discrepancy between the semi-classical and quantum calculations in the th
Externí odkaz:
http://arxiv.org/abs/1605.09352
For real inverse temperature beta, the canonical partition function is always positive, being a sum of positive terms. There are zeros, however, on the complex beta plane that are called Fisher zeros. In the thermodynamic limit, the Fisher zeros coal
Externí odkaz:
http://arxiv.org/abs/1412.5112
Autor:
Das, Saurya, Bhaduri, Rajat K.
Publikováno v:
Class.Quant.Grav.32 (2015) 105003 (6pp)
We show that Dark Matter consisting of bosons of mass of about 1eV or less has critical temperature exceeding the temperature of the universe at all times, and hence would have formed a Bose-Einstein condensate at very early epochs. We also show that
Externí odkaz:
http://arxiv.org/abs/1411.0753
Publikováno v:
Physical Review A, 88, 045602 (2013)
Third and higher order quantum virial coefficients require the solution of the corresponding quantum many-body problem. Nevertheless, in an earlier paper (Phys. Rev. Lett. 108, 260402 (2012)) we proposed that the higher-order cluster integrals of a d
Externí odkaz:
http://arxiv.org/abs/1310.4726