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Fractal dimension of cluster boundaries in porous polycrystalline HTSC materials / A. A. Bykov [et al.] // Phys. Solid State. - 2012. - Vol. 54, Is. 10. - P. 1947-1950, DOI 10.1134/S1063783412100095. - Cited References: 20 . - ISSN 1063-7834

РУБ Physics, Condensed Matter
Рубрики:
CURRENT-VOLTAGE CHARACTERISTICS
   ELECTRICAL-CONDUCTIVITY
   PERCOLATION
   MIXTURES
   MEDIA
   SUPERCONDUCTORS
   TRANSPORT
   SPHERES
Аннотация: The fractal dimension of the boundaries of clusters formed by pores and granules in polycrystalline materials is shown to be determined by the sample density and crystallite sizes. The dependence of the fractal dimension on the density has a maximum. It is shown that the maximum diamagnetic response can be obtained in a porous high-temperature superconductor with a porosity of 50-60% and small crystallite sizes.

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Публикация на русском языке Фрактальная размерность границ кластеров в пористых поликристаллических ВТСП-материалах [Текст] / А. А. Быков [и др.] // Физ. тверд. тела : Физико-технический институт им. А.Ф.Иоффе РАН, 2012. - Т. 54 Вып. 10. - С. 1825-1828

Держатели документа:
[Bykov, A. A.
Terent'ev, K. Yu.
Gokhfeld, D. M.
Petrov, M. I.] Russian Acad Sci, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Bykov, A. A.; Быков, Алексей Анатольевич; Terent'yev, K. Yu.; Терентьев, Константин Юрьевич; Gokhfeld, D. M.; Гохфельд, Денис Михайлович; Petrov, M. I.; Петров, Михаил Иванович
}
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Effects of size polydispersity on the extinction spectra of colloidal nanoparticle aggregates / A. E. Ershov [et al.] // Phys. Rev. B. - 2012. - Vol. 85, Is. 4. - Ст. 045421. - P. , DOI 10.1103/PhysRevB.85.045421. - Cited References: 41. - This work was supported by grants from the following foundations of the Russian Federation: Presidium of RAS, OFN RAS, and SB RAS. . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
METAL FRACTAL CLUSTERS
   OPTICAL-PROPERTIES
   ABSORPTION
   NONLINEARITIES
   COMPOSITES
   SCATTERING
   PARTICLES
   SPHERES
   GRAINS
Аннотация: We investigate the effect of particle polydispersity on the optical extinction spectra of colloidal aggregates of spherical metallic (silver) nanoparticles, taking into account the realistic interparticle gaps caused by layers of stabilizing polymer adsorbed on the metal surface (adlayers). The spectra of computer-generated aggregates are computed using two different methods. The coupled-multipole method is used in the quasistatic approximation and the coupled-dipole method beyond the quasistatics. The latter approach is applicable if the interparticle gaps are sufficiently wide relative to the particle radii. Simulations are performed for two different particle size distribution functions (bimodal and Gaussian), varying the number of particles per aggregate, and different distribution functions of the interparticle gap width. The strong influence of the latter factor on the spectra is demonstrated and investigated in detail.

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Держатели документа:
[Ershov, Alexander E.
Isaev, Ivan L.
Semina, Polina N.
Karpov, Sergei V.] Russian Acad Sci, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
[Ershov, Alexander E.
Karpov, Sergei V.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
[Markel, Vadim A.] Univ Penn, Dept Bioengn, Dept Radiol, Philadelphia, PA 19104 USA
[Markel, Vadim A.] Univ Penn, Grad Grp Appl Math & Computat Sci, Philadelphia, PA 19104 USA

Доп.точки доступа:
Ershov, A. E.; Ершов, Александр Евгеньевич; Isaev, I. L.; Исаев, Иван Леонидович; Semina, P. N.; Семина, Полина Николаевна; Markel, V. A.; Karpov, S. V.; Карпов, Сергей Васильевич
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2nd Fractional Brownian motion simulation for the fractal properties of ferryhidrite nanoparticles / S. Stan [и др.] // 2nd International summer school and workshop complex and magnetic soft matter systems: physico-mechanical properties and structure : books of abstacs. - 2014. - P. 78-79

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Доп.точки доступа:
Stan, S.; Balasoiu, M.; Cristescu, C. P.; Stolyar, S. V.; Столяр, Сергей Викторович; Iskhakov, R. S.; Исхаков, Рауф Садыкович; Raikher, Yu. L.; "Complex and magnetic soft matter systems: physico-mechanical properties and structure", International summer school and workshop (2 ; 2014 ; 29 sept.-3 oct. ; Dubna)
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Local anisotropy and giant enhancement of local electromagnetic fields in fractal aggregates of metal nanoparticles / S. V. Karpov [et al.] // Phys. Rev. B. - 2005. - Vol. 72, Is. 20. - Ст. 205425, DOI 10.1103/PhysRevB.72.205425. - Cited References: 56 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
SMALL-PARTICLE COMPOSITES
   DIFFUSION-LIMITED AGGREGATION
   OPTICAL-PROPERTIES
   SELECTIVE PHOTOMODIFICATION
   NUMERICAL-SIMULATION
   DISORDERED CLUSTERS
   ABSORPTION-SPECTRUM
   PARTICULATE MATTER
   NONLINEAR OPTICS
   LIGHT-SCATTERING
Аннотация: We have shown within quasistatic approximation that the giant fluctuations of a local electromagnetic field in random fractal aggregates of silver nanospheres are strongly correlated with a local anisotropy factor S which is defined in this paper. The latter is a purely geometrical parameter which characterizes the deviation of local environment of a given nanosphere in an aggregate from spherical symmetry. Therefore, it is possible to predict the sites with anomalously large local fields in an aggregate without explicitly solving the electromagnetic problem. We have also demonstrated that the average (over nanospheres) value of S does not depend noticeably on the fractal dimension D, except when D approaches the trivial limit D=3. In this case, as one can expect, the average local environment becomes spherically symmetrical and S approaches zero. This corresponds to the well-known fact that in trivial aggregates, fluctuations of local electromagnetic fields are much weaker than in fractal aggregates. Thus, we find that, within the quasistatics, the large-scale geometry does not have a significant impact on local electromagnetic responses in nanoaggregates in a wide range of fractal dimensions. However, this prediction is expected not to be correct in aggregates which are sufficiently large for the intermediate- and radiation-zone interaction of individual nanospheres to become important.

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
Krasnoyarsk State Tech Univ, Dept Phys & Engn, Krasnoyarsk 660028, Russia
Univ Penn, Dept Radiol, Philadelphia, PA 19104 USA
Univ Penn, Dept Bioengn, Philadelphia, PA 19104 USA
ИФ СО РАН
L. V. Kirensky Institute of Physics, Russian Academy of Sciences, Siberian Branch, Krasnoyarsk 660036, Russian Federation
Department of Physics and Engineering, Krasnoyarsk State Technical University, Krasnoyarsk 660028, Russian Federation
Departments of Radiology and Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, United States

Доп.точки доступа:
Karpov, S. V.; Карпов, Сергей Васильевич; Gerasimov, V. S.; Герасимов, Валерий Сергеевич; Isaev, I. L.; Исаев, Иван Леонидович; Markel, V. A.
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Electromagnetic density of states and absorption of radiation by aggregates of nanospheres with multipole interactions / V. A. Markel [et al.] // Phys. Rev. B. - 2004. - Vol. 70, Is. 5. - Ст. 54202, DOI 10.1103/PhysRevB.70.054202. - Cited References: 81 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
DISCRETE-DIPOLE APPROXIMATION
   ENHANCED RAMAN-SCATTERING
   METAL FRACTAL CLUSTERS
   OPTICAL-PROPERTIES
   SELECTIVE PHOTOMODIFICATION
   DISORDERED CLUSTERS
   NUMERICAL-SIMULATION
   SPECTRAL DEPENDENCE
   PARTICULATE MATTER
   LIGHT-SCATTERING
Кл.слова (ненормированные):
carbon -- iron -- palladium -- silver -- article -- dipole -- electromagnetic field -- geometry -- mathematical analysis -- molecular interaction -- nanoparticle -- radiation absorption
Аннотация: We calculate the quasistatic electromagnetic density of states for aggregates of touching spheres, in particular, linear chains and computer-generated random fractal aggregates. Multipole moments with orders of up to L=64 are taken into account for random aggregates with the number of particles of up to N=100 and up to L=8000 for linear chains. Extensive comparisons with the dipole approximation and geometrical cluster renormalization method are performed. Extinction spectra are calculated for several metals and black carbon. Long wavelength electromagnetic properties of fractal aggregates are considered in details.

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Держатели документа:
Univ Penn, Dept Radiol, Philadelphia, PA 19104 USA
Jackson State Univ, Dept Phys, Jackson, MS 39217 USA
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Russia
Krasnoyarsk State Tech Univ, Dept Phys & Engn, Krasnoyarsk 660028, Russia
Natl Acad Sci Ukraine, Inst Surface Chem, UA-03164 Kiev, Ukraine
ИФ СО РАН
Department of Radiology, University of Pennsylvania, Philadelphia, PA 19104, United States
Department of Physics, Jackson State University, Jackson, MS 39217, United States
L. V. Kirensky Institute of Physics, Russian Academy of Sciences, Siberian Branch, Krasnoyarsk 660036, Russian Federation
Moscow Inst. of Phys. and Technology, Dolgoprudny, Moscow Region 141700, Russian Federation
Dept. of Physics, and Engineering, Krasnoyarsk State Tech. University, Krasnoyarsk 660028, Russian Federation
Institute of Surface Chemistry, Natl. Academy of Sciences of Ukraine, 17 General Naumov St., 03164 Kiev, Ukraine

Доп.точки доступа:
Markel, V. A.; Pustovit, V. N.; Karpov, S. V.; Карпов, Сергей Васильевич; Obuschenko, A. V.; Gerasimov, V. S.; Герасимов, Валерий Сергеевич; Isaev, I. L.; Исаев, Иван Леонидович
}
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Karpov, S. V.
Photochromic reactions in silver nanocomposites with a fractal structure and their comparative characteristics / S. V. Karpov, A. K. Popov, V. V. Slabko // Tech. Phys. - 2003. - Vol. 48, Is. 6. - P. 749-756, DOI 10.1134/1.1583830. - Cited References: 24 . - ISSN 1063-7842

РУБ Physics, Applied
Рубрики:
SMALL-PARTICLE COMPOSITES
   OPTICAL-PROPERTIES
   COLLOIDAL SILVER
   SELECTIVE PHOTOMODIFICATION
   CLUSTERS
   LIGHT
Аннотация: Conditions for a change in the polarization selectivity of dips in the plasmon absorption spectra of fractal silver nanocomposites irradiated by pulsed laser radiation are studied. The energy thresholds of the polarization selectivity are evaluated, and the polarization and spectral threshold characteristics are compared. Mechanisms behind the correlation between the fractal structure of the nanocomposites, on the one hand, and their optical and photochromic properties, on the other hand, are discussed. (C) 2003 MAIK "Nauka / Interperiodica".

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk 660036, Russia
Krasnoyarsk State Tech Univ, Krasnoyarsk 660074, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Krasnoyarsk Stt. Tech. University, Krasnoyarsk 660074, Russian Federation

Доп.точки доступа:
Popov, A. K.; Slabko, V. V.; Слабко, Виталий Васильевич; Карпов, Сергей Васильевич
}
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Gluck, M.
Fractal stabilization of Wannier-Stark resonances / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Europhys. Lett. - 2000. - Vol. 51, Is. 3. - P. 255-260, DOI 10.1209/epl/i2000-00345-2. - Cited References: 17 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
BLOCH PARTICLE
   FIELDS
   STATISTICS
   QUANTUM
   SYSTEMS
   AC
   DC
   ELECTRONS
Аннотация: The quasienergy spectrum of a Bloch electron affected by dc-ac fields is known to have a fractal structure as a function of the so-called electric matching ratio, which is the ratio of the ac field frequency and the Bloch frequency. This paper studies a manifestation of the fractal nature of the spectrum in the system "atom in a standing laser wave", which is a quantum-optical realization of a Bloch electron. It is shown that for an appropriate choice of the system parameters the atomic survival probability (a quantity measured in laboratory experiments) also develops a fractal structure as a function of the electric matching ratio. Numerical simulations under classically chaotic scattering conditions show good agreement with theoretical predictions based on random matrix theory.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
Fachbereich Physik, Universitat Kaiserslautern, D-67653 Kaiserslautern, Germany
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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Myagkov, V. G.
Fractal clusters and self-propagating high-temperature synthesis in thin Al/Ge films / V. G. Myagkov, L. E. Bykova // JETP Letters. - 1998. - Vol. 67, Is. 5. - P. 334-338, DOI 10.1134/1.567669. - Cited References: 14 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
DENSE BRANCHING MORPHOLOGY
   SINGLE-CRYSTAL GROWTH
   AL-GE
   PHASE-SEPARATION
Аннотация: Fractal clusters in amorphous thin films are examples of growth models. The main models are the Witten-Sander model and its modifications. It is believed that fractal patterns are formed in the course of the crystallization of an amorphous phase. It is shown that self-propagating high-temperature synthesis can be initiated in an Al/Ge film system and fractal patterns are formed in the reaction products. It is conjectured that the transition of an amorphous phase to a crystalline phase does not play a substantial role in the appearance of such patterns, while the formation of fractal clusters is determined by self-propagating high-temperature synthesis. (C) 1998 American Institute of Physics. [S0021-3640(98)00605-7].

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Держатели документа:
Russian Acad Sci, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
L. V. Kirenskii Institute of Physics, Siberian Branch, Russian Academy of Sciences, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Bykova, L. E.; Быкова, Людмила Евгеньевна; Мягков, Виктор Григорьевич
}
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Numerical studies of second- and fourth-order correlation functions in cluster-cluster aggregates in application to optical scattering / V. A. Markel [et al.] // Phys. Rev. E. - 1997. - Vol. 55, Is. 6. - P. 7313-7333, DOI 10.1103/PhysRevE.55.7313. - Cited References: 21 . - ISSN 1063-651X

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
DIFFUSION-LIMITED AGGREGATION
   COLLOIDAL AGGREGATION
   FRACTAL CLUSTERS
   ANTICORRELATION
   SIMULATIONS
Аннотация: Two- and four-point density correlation functions p(2)(r) and p(4)(r) are studied numerically and theoretically in computer-generated three-dimensional lattice cluster-cluster aggregates (CCA) with the number of particles N up to 20 000 in application to the light scattering problem. The ''pure'' aggregation algorithm is used, where subclusters of all possible sizes are allowed to collide. We find that large CCA clusters demonstrate pronounced multiscaling. In particular, the fractal dimension determined from the slope of p(2)(r) at small distances differs from that found from the dependence of the radius of gyration on the number of monomers (according to our data, 1.80 and 1.94, respectively). We also consider different functional forms for p(2) and their general properties and applicability. We find that the best fit to the numerical data is provided by the generalized exponential cutoff function with coefficients depending on N. The latter dependence is a manifestation of multiscaling. We propose some theoretical approaches for calculating p(4)(r), assuming p(2)(r) is known. In particular, we find the small-r asymptote for the p(4)(r) and verify it numerically. In addition, we find that p(4)(r) cannot be represented by a scaling dependence with a cutoff function, like p(2)(r) Instead, p(4)(r) is given by an expansion in terms of integer powers of r(2D-3), where D is the fractal dimension (approximate to 1.8 for CCA clusters).

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Держатели документа:
UNIV WISCONSIN,DEPT CHEM,OFF CHANCELLOR,STEVENS POINT,WI 54481
UNIV WISCONSIN,DEPT PHYS & ASTRON,STEVENS POINT,WI 54481
RUSSIAN ACAD SCI,INST AUTOMAT & ELECTROMETRY,NOVOSIBIRSK 630090,RUSSIA
RUSSIAN ACAD SCI,SIBERIAN BRANCH,LV KIRENSKY PHYS INST,KRASNOYARSK 660036,RUSSIA
ИФ СО РАН

Доп.точки доступа:
Markel, V. A.; Shalaev, V. M.; Poliakov, E. Y.; George, T. F.
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10.

Spectroscopic studies of fractal aggregates of silver nanospheres undergoing local restructuring / S. V. Karpov [et al.] // J. Chem. Phys. - 2006. - Vol. 125, Is. 11. - Ст. 111101, DOI 10.1063/1.2229202. - Cited References: 30 . - ISSN 0021-9606

РУБ Physics, Atomic, Molecular & Chemical
Рубрики:
ENHANCED RAMAN-SCATTERING
   SMALL-PARTICLE COMPOSITES
   OPTICAL-PROPERTIES
   DISORDERED CLUSTERS
   NONLINEAR OPTICS
   LOCALIZATION
   NANOPARTICLES
   EIGENMODES
   BOUNDS
Кл.слова (ненормированные):
Large-scale fractal geometry -- Nonlinear optical responses -- Restructuring -- Silver nanospheres -- Aggregates -- Colloids -- Electromagnetic fields -- Fractals -- Nonlinear optics -- Sampling -- Spectroscopic analysis -- Silver
Аннотация: We present an experimental spectroscopic study of large random colloidal aggregates of silver nanoparticles undergoing local restructuring. We argue that such well-known phenomena as strong fluctuation of local electromagnetic fields, appearance of "hot spots" and enhancement of nonlinear optical responses depend on the local structure on the scales of several nanosphere diameters, rather than the large-scale fractal geometry of the sample. (c) 2006 American Institute of Physics.

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
Krasnoyarsk State Tech Univ, Dept Phys & Engn, Krasnoyarsk 660028, Russia
Univ Penn, Dept Radiol, Philadelphia, PA 19104 USA
Univ Penn, Dept Bioengn, Philadelphia, PA 19104 USA
ИФ СО РАН
L. V. Kirensky Institute of Physics, Russian Academy of Sciences, Siberian Branch, Krasnoyarsk 660036, Russian Federation
Department of Physics and Engineering, Krasnoyarsk State Technical University, Krasnoyarsk 660028, Russian Federation
Departments of Radiology and Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, United States

Доп.точки доступа:
Karpov, S. V.; Карпов, Сергей Васильевич; Gerasimov, V. S.; Герасимов, Валерий Сергеевич; Isaev, I. L.; Исаев, Иван Леонидович; Markel, V. A.
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