An improved (1+1) evolutionary algorithm for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e47" altimg="si11.svg"><mml:mi>k</mml:mi></mml:math>-median clustering problem with performance guarantee

Huang, Zhengxin; Zhou, Yuejiao; Xia, Xiaoyun; Lai, Xinsheng

doi:10.1016/j.physa.2019.122992

Cited by 9 publications

(24 citation statements)

References 43 publications

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“…In order to describe the scaling, renormalization group methods were developed as for a mathematical framework, e.g. [3][4][5][6][7][8][9][10][11].…”

mentioning

confidence: 99%

Isobaric Critical Exponents: Test of Analyticity Against NIST Reference Data

2018

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Finite systems may undergo first or second order phase transitions under not isovolumetric but isobaric condition. The 'analyticity' of a finite-system partition function has been argued to imply universal values for isobaric critical exponents, α P , β P and γ P . Here we test this prediction by analyzing NIST REFPROP data for twenty major molecules, including H 2 O, CO 2 , O 2 , etc. We report they are consistent with the prediction for temperature range, 10 −5 < |T /T c − 1| < 10 −3 . For each molecule, there appears to exist a characteristic natural number, n = 2, 3, 4, 5, 6, which determines all the critical exponents for T < T c as α P = γ P = n n+1 and β P = δ −1 = 1 n+1 . For the opposite T > T c , all the fluids seem to indicate the universal value of n = 2

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“…In order to describe the scaling, renormalization group methods were developed as for a mathematical framework, e.g. [3][4][5][6][7][8][9][10][11].…”

mentioning

confidence: 99%

Isobaric Critical Exponents: Test of Analyticity Against NIST Reference Data

2018

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“…Hence, one can think of a collection, e.g., a bath, of DOF comprising classical spinors (or, for brevity, spins): a classical spin-bath. An example of a classical spin baths is given by the Classical Heisenberg Model [138], whose Hamiltonian is…”

Section: Classical Spin Bathsmentioning

confidence: 99%

Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths

et al. 2018

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Many open quantum systems encountered in both natural and synthetic situations are embedded in classical-like baths. Often, the bath degrees of freedom may be represented in terms of canonically conjugate coordinates, but in some cases they may require a noncanonical or non-Hamiltonian representation. Herein, we review an approach to the dynamics and statistical mechanics of quantum subsystems embedded in either non-canonical or non-Hamiltonian classical-like baths which is based on operator-valued quasi-probability functions. These functions typically evolve through the action of quasi-Lie brackets and their associated Quantum-Classical Liouville Equations. * asergi@unime.it †

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“…This study of compact stars using statistical mechanics is crucial in understanding the stability of stars under gravitational collapse and for the indepth exploration of the possibility of gravitational singularity (details on calculations in commutative spacetime can be seen in any standard textbooks on statistical mechanics, see for eg. [39,40]) and this led to famous Chandrasekhar limit for white dwarf [10].…”

Section: Degeneracy Pressure and Hydrostatic Equilibrium In κ-Spacetimentioning

confidence: 99%

“…In a compact star, the pressure is dominated by that of the gas of Fermions. We assume that the temperature of the star is small, so that Fermi gas at T=0 is a good approximation (see for example, [39] for a nice discussion). Since energy density of white dwarf is dominated by nucleons, we write, to a good approximation where suffix p refers to proton, n p is number density of protons and the factor α takes into account the mean number density.…”

Section: Degeneracy Pressure and Hydrostatic Equilibrium In κ-Spacetimentioning

confidence: 99%

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Compact stars in quantum spacetime

Harikumar

Zuhair

2018

J. Phys. Commun.

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We derive bounds on the deformation parameter of the κ-spacetime by analyzing the effect of noncommutativity on astrophysical model. We study compact stars, taken to be degenerate Fermi gas, in non-commutative spacetime. Using tools of statistical mechanics, we derive the degeneracy pressure of the compact star in κ-spacetime and from the hydrostatic equilibrium conditions we obtain a bound on the deformation parameter. We independently derive this bound using generalized uncertainty principle, which is a characteristic feature of quantum gravity approaches, strengthening the bound obtained.

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An improved (1+1) evolutionary algorithm for k-median clustering problem with performance guarantee

Cited by 9 publications

References 43 publications

Isobaric Critical Exponents: Test of Analyticity Against NIST Reference Data

Isobaric Critical Exponents: Test of Analyticity Against NIST Reference Data

Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths

Compact stars in quantum spacetime

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