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Kolmogorov, A. N.

doi:10.1007/978-94-011-2260-3_54

Cited by 96 publications

(171 citation statements)

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“…As described in the supplementary material (SM) 39 , we showed that systematic errors are considerable but the predicted LiB should become thermodynamically stable by ∼ 10 GPa regardless of the exchange-correlation functional choice or the vibrational entropy correction to Gibbs energy at room temperature. The phonons were calculated with the finite displacement method as implemented in PHON 40 and the evolutionary searches for new ground state structures were performed with the MAISE package 41 . The ordered layered LiB was modeled as two possible stackings ABC and AB shown in Fig.…”

Section: Methodology a Simulation Setupmentioning

confidence: 99%

Synthesis of a predicted layered LiB via cold compression

et al. 2015

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We have discovered a stoichiometric LiB with hexagonal boron layers by compressing known LiB0.9 with linear boron chains. The sp to sp 2 rebonding occurred at room temperature and moderate pressures above 21 GPa. The study was motivated by a long-standing prediction that LiB in the stable layered configuration could be a close analog to the MgB2 superconductor. Apparent stacking disorder in LiB and an evidenced stoichiometry shift in LiBy (down to y ≈ 0.75) made the materials' characterization a challenge. Ab initio modeling allowed us to establish LiBy's pressure-dependent composition and predict overlooked related stable structures. The synchrotron powder diffraction data indicates that synthesized LiB remains metastable under ambient pressure.

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Section: Methodology a Simulation Setupmentioning

confidence: 99%

Synthesis of a predicted layered LiB via cold compression

et al. 2015

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“…. , X n } of a variable X, given in increasing order [5,6,7]. Two distribution functions are defined as follows: cumulative distribution function is F (x) = P {X ≤ x}, while F n (x) is the empirical distribution function…”

Section: The Methods Vs the Generated Systemsmentioning

confidence: 99%

On the perturbations on satellites probing General Relativity

Sargsyan¹,

Yegorian²,

Mirzoyan³

2014

Phys. Scr.

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“…One Let us note that Kolmogorov was the first who introduced the concept of an ergodic principle for Markov processes (see, for example, [7]). For quadratic stochastic processes such a concept was introduced and studied in [12,4].…”

Section: Preliminariesmentioning

confidence: 99%