共查询到20条相似文献,搜索用时 125 毫秒
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本文研究把连通赋权图的点集划分成p个子集,要求每个点子集的导出子图都连通,并且使得所得到的p个子图的最小支撑树中权重最大者的权重达到最小(最小最大树划分问题),或者使得所得到的p个子图的最小支撑树权重之和达到最小(最小和树划分问题).文中给出了最小最大树划分问题的强NP困难性证明,并给出了一个多项式时间算法,该算法是最小最大树划分问题的竞争比为p的近似算法,同时是最小和树划分问题的精确算法. 相似文献
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为了对矿井瓦斯抽放效果进行合理评估,通过将中心点三角白化权函数中对应于两端灰类的白化权函数分别划分为下限测度白化权函数和上限测度白化权函数,构建矿井瓦斯抽放效果评估模型,并利用模型对矿井重点位置的瓦斯浓度值进行评估、诊断.模型计算结果表明,改进的中心点白化权函数评估模型可以确保各灰类聚类系数之和为1,而且在划分瓦斯抽放效果的灰类时较中心点三角白化权函数评估模型更为准确. 相似文献
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针对聚类分析的Fuzzy模式未解决的问题:模糊划分空间中模糊最优划分的判定问题,以改进的目标函数聚类法为基础,建立与定义指标集对应的模糊最优划分判定模型,求解最优划分矩阵. 相似文献
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自然数划分中两类非通项约束娄惠元,那履弘(沈阳黄金学院,110015)关键词自然数,划分,约束.分类号AMS(1991)11P81/CCLO156.4自然数n划分为m个自然数之和是指将n表示为n=n_1+n_2+…+n_m的形式,其中n_1,…,n_... 相似文献
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自然数划分中一种新约束那履弘,娄惠元(沈阳黄金学院,110015)自然数n分为m个部分的一个划分的定义是n的一种形如n=n_1+n_2+…n_m的表示,其中自然数n_i满足n_1≥n_2≥…≥n_m≥1.由划分给出的n_1,…,n_m称为项。我们用P... 相似文献
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We investigate the replica symmetry breaking (RSB) in a neighborhood of the instability point of the replica-symmetric solution in the axial quadrupolar glass model. We show that the solution with the first-stage RSB is stable against the subsequent RSB. Although there is no reflection symmetry, the first-stage RSB solution continuously bifurcates from the replica-symmetric one. This implies that our model does not belong to either of the two classes into which spin glasses are usually divided. 相似文献
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Ryzhov V. N. Tareyeva E. E. Schelkacheva T. I. Chtchelkatchev N. M. 《Theoretical and Mathematical Physics》2004,141(1):1443-1451
Using the classical distribution-function approach to simple liquids, we estimate the orientational interaction between clusters consisting of a particle and its nearest neighbors. We show that there are density and temperature ranges where the interaction changes sign as a function of the cluster radius. On this basis, the corresponding model of interacting cubic and icosahedral clusters (of the type of a spin glass model) is proposed and solved in the replica-symmetric approximation. We show that the glass order parameter grows continuously on cooling and the replica-symmetry-breaking temperature can be identified with the glass transition temperature. We also show that on cooling a system of particles with a Lennard-Jones interaction, cubic clusters freeze first. The transition temperature for icosahedral clusters is somewhat lower; therefore, the cubic structure of the short-range order is more likely in a Lennard-Jones glass near transition. 相似文献
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E. E. Tareyeva T. I. Schelkacheva N. M. Chtchelkatchev 《Theoretical and Mathematical Physics》2009,160(2):1190-1202
We briefly review our works concerned with generalized models of spin glass, which describe a wide class of glasses (multipole
systems, real cluster glasses, and others). We consider several new models and discuss how the scenario of glass transition
depends on different factors. We propose a classification of the behaviors of complex spin glasses depending on the system
symmetry properties. 相似文献
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E. E. Tareyeva T. I. Schelkacheva N. M. Chtchelkatchev 《Theoretical and Mathematical Physics》2008,155(2):812-823
We propose a model for describing the low-temperature transition to the orientational glass state in solid molecular C60 in the framework of a theory similar to spin glass theory. We find a replica symmetric solution and also break the replica
symmetry. The obtained results agree with experimental data on the partial retention of the orientational long-range order
in the glass phase and on the presence of a broad maximum on the curve corresponding to the temperature dependence of the
orientational part of the heat capacity.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 2, pp. 356–368, May, 2008. 相似文献
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M. G. Vasin E. E. Tareyeva T. I. Shchelkacheva N. M. Shchelkatchev 《Theoretical and Mathematical Physics》2013,174(2):197-208
We review the results related to the ultrametricity notion in glasses. We present the proof of the ultrametricity of the replica space for an arbitrary spin glass model with reflection symmetry. We solve the problem of describing the dynamics of a system with an ultrametric state space using the Keldysh functional method for nonequilibrium dynamics in which the quasinonergodicity of the system is taken into account by introducing a hierarchical spectrum of relaxation times. 相似文献
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Kinetics of glass transition and crystallization in multicomponent bulk amorphous alloys 总被引:4,自引:0,他引:4
Differential scanning calorimeter (DSC) is used to investigate apparent activation energy of glass transition and crystallization
of Zr-based bulk amorphous alloys by Kissinger equation under non-isothermal condition. It is shown that the glass transition
behavior as well as crystallization reaction depends on the heating rate and has a characteristic of kinetic effects. After
being isothermally annealed near glass transition temperature, the apparent activation energy of glass transition increases
and the apparent activation energy of crystallization reaction decreases. However, the kinetic effects are independent of
the pre-annealing. 相似文献
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M. I. Klinger 《Theoretical and Mathematical Physics》2008,154(1):64-74
We study the origin of the boson peak and an associated mechanism for acoustic-phonon broadening (below the peak) in glasses
exhibiting a high-frequency sound above the peak. The origin is related to the Ioffe-Regel crossover for inelastic (resonant)
scattering of acoustic phonons from harmonic soft-mode vibrations. The broadening mechanism is due to the resonant interaction
of a harmonic soft-mode vibration with acoustic phonons, which results in the resonant scattering. We find that the associated
width of the phonon is independent of temperature and is characterized by a power-law frequency dependence with the exponent
varying from ϰ=2 just below the boson peak to ϰ=4 at lower frequencies. The dependences seem to partly agree with some recent
experimental data for the glasses under consideration.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 154, No. 1, pp. 77–90, January, 2008. 相似文献
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Random overlap structures (ROSt’s) are random elements on the space of probability measures on the unit ball of a Hilbert space, where two measures are identified if they differ by an isometry. In spin glasses, they arise as natural limits of Gibbs measures under the appropriate algebra of functions. We prove that the so called ‘cavity mapping’ on the space of ROSt’s is continuous, leading to a proof of the stochastic stability conjecture for the limiting Gibbs measures of a large class of spin glass models. Similar arguments yield the proofs of a number of other properties of ROSt’s that may be useful in future attempts at proving the ultrametricity conjecture. Lastly, assuming that the ultrametricity conjecture holds, the setup yields a constructive proof of the Parisi formula for the free energy of the Sherrington–Kirkpatrick model by making rigorous a heuristic of Aizenman, Sims and Starr. 相似文献
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M. G. Vasin 《Theoretical and Mathematical Physics》2006,147(2):721-728
We show that the paramagnet-spin glass transition can be described in the Edwards-Anderson model using critical-dynamics methods
and taking the ultrametric topology of the temporal space into account. In the framework of the suggested approach, we derive
the Vogel-Fulcher relation for the system relaxation time. We prove that the fluctuation-dissipation theorem holds for the
given model if there is no relaxation-time hierarchy.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 147, No. 2, pp. 328–336, May, 2006. 相似文献