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Nonlinear Phenomena in Complex Systems最新文献

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Dynamics of Nonlinear Processes of Corrosion of Non-Nikel Titanium Shape Memory Alloy 非镍钛形状记忆合金非线性腐蚀动力学研究
IF 0.4 Q4 Mathematics Pub Date : 2019-12-10 DOI: 10.33581/1561-4085-2019-22-4-354-361
A. Kolmakov, E. O. Nasakina, M. Sevostyanov, S. V. Konushkin, K. V. Sergiyenko, M. Kheifetz
Research of dynamics of nonlinear corrosion processes of non-nickel titanium shape memory alloy Ti-20Nb-10Ta is performed. Samples were placed in mediums imitating physiological liquids, with ðÍ from 1.68 to 9.18. 3 types of samples were used: in an initial state, after thermal (annealing) and surface mechanical treatment. After annealing, there is a slight narrowing of the X-ray peaks, which indicates stress relief. New phases are not allocated. The alloy is a substitution solution with a b-Ti lattice. The greatest release of titanium ions was observed in solution with the sourest environment and samples after annealing. Release of niobium and tantalum ions in solution with any acidity was not observed.
对非镍钛形状记忆合金Ti-20Nb-10Ta的非线性腐蚀过程进行了动力学研究。将样品放置在模拟生理液体的培养基中,其中,ablÍ从1.68到9.18。使用了3种类型的样品:在初始状态下,在热(退火)和表面机械处理之后。退火后,X射线峰略有变窄,这表明应力消除。未分配新阶段。该合金是具有b-Ti晶格的置换溶液。退火后,在环境最恶劣的溶液和样品中观察到钛离子的最大释放。在任何酸度的溶液中都没有观察到铌和钽离子的释放。
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引用次数: 0
Information Geometry of the Probability Simplex: A Short Course 概率单纯形的信息几何:短期课程
IF 0.4 Q4 Mathematics Pub Date : 2019-11-05 DOI: 10.33581/1561-4085-2020-23-2-221-242
Giovanni Pistone
This set of notes is intended for a short course aiming to provide an (almost) self-contained and (almost) elementary introduction to the topic of Information Geometry (IG) of the probability simplex. Such a course can be considered an introduction to the original monograph by Amari and Nagaoka [1], and to the recent monographs by Amari [2] and by Ay, Jost, Lê, and Schwachhöfer [3]. The focus is on a non-parametric approach, that is, I consider the geometry of the full probability simplex and compare the IG formalism with what is classically done in Statistical Physics.
这套笔记是为一门短期课程准备的,旨在为概率单纯形的信息几何(IG)主题提供(几乎)独立和(几乎)基本的介绍。这样的课程可以被认为是对Amari和Nagaoka[1]的原始专著的介绍,以及Amari[2]和Ay、Jost、Lê和Schwachhöfer[3]最近的专著的介绍。重点是非参数方法,也就是说,我考虑全概率单纯形的几何,并将IG形式与统计物理学中的经典方法进行比较。
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引用次数: 6
Cosmological Singularity as an Informational Seed for Everything 宇宙奇点是万物的信息种子
IF 0.4 Q4 Mathematics Pub Date : 2019-05-11 DOI: 10.33581/1561-4085-2022-25-3-266-275
S. Cherkas, V. Kalashnikov
Mathematical problem of encoding of the universe quantum state in the cosmological singularity is considered using a free and massless scalar .eld as a prototype of matter. Two di.erent but coherent approaches to this issue are presented. The expression for the scalar particles' spectral energy density, which is initially encoded at the singularity, is deduced. An informational aspect of the problem is discussed.
用自由无质量标量场作为物质的原型,研究了宇宙奇点中宇宙量子态编码的数学问题。两个di。对这一问题提出了事件但连贯的方法。导出了在奇点处初始编码的标量粒子的谱能量密度表达式。讨论了该问题的信息方面。
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引用次数: 4
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Nonlinear Phenomena in Complex Systems
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