Готові списки джерел за темами / Random motion in random media

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Автор: Grafiati
Опубліковано: 10 грудня 2022
Оновлено: 29 січня 2023

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Статті в журналах з теми "Random motion in random media"

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Bodineau, T., and A. Teixeira. "Interface Motion in Random Media." Communications in Mathematical Physics 334, no. 2 (September 6, 2014): 843–65. http://dx.doi.org/10.1007/s00220-014-2152-4.

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2

Mardoukhi, Yousof, Jae-Hyung Jeon, Aleksei V. Chechkin, and Ralf Metzler. "Fluctuations of random walks in critical random environments." Physical Chemistry Chemical Physics 20, no. 31 (2018): 20427–38. http://dx.doi.org/10.1039/c8cp03212b.

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Percolation networks have been widely used in the description of porous media but are now found to be relevant to understand the motion of particles in cellular membranes or the nucleus of biological cells. We here study the influence of the cluster size distribution on diffusion measurements in percolation networks.
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3

Chen, Lee-Wen, and M. Cristina Marchetti. "Interface motion in random media at finite temperature." Physical Review B 51, no. 10 (March 1, 1995): 6296–308. http://dx.doi.org/10.1103/physrevb.51.6296.

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4

Orsingher, E., and N. E. Ratanov. "Random motions in inhomogeneous media." Theory of Probability and Mathematical Statistics 76 (2008): 141–53. http://dx.doi.org/10.1090/s0094-9000-08-00738-2.

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5

Chen, Yuan, and Jie Li. "Ground Motion Analysis in Nonlinear Soil Site with Random Media." Advanced Materials Research 368-373 (October 2011): 920–25. http://dx.doi.org/10.4028/www.scientific.net/amr.368-373.920.

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In this article,by incorporating equivalent linearization method and the orthogonal expansion method into the wave finite element analysis of scattering problem, an analytical methodology for the evaluation of seismic response of nonlinear soil site with uncertain properties is proposed . Example is given to show the applicability of the methodology. The results show that the randomness of the site media has important effect on seismic site response , the randomness has greater influence on the variation of accelerations than on displacements. The coupling of the nonlinearity and the randomness of soil enhances the effect of randomness on the soil site.
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6

Luo, Qiaoen, Jason A. Newman, and Kevin J. Webb. "Motion-based coherent optical imaging in heavily scattering random media." Optics Letters 44, no. 11 (May 23, 2019): 2716. http://dx.doi.org/10.1364/ol.44.002716.

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7

Schneider, T., M. P. Soerensen, A. Politi, and M. Zannetti. "Relationship between Classical Motion in Random Media and Quantum Localization." Physical Review Letters 56, no. 22 (June 2, 1986): 2341–43. http://dx.doi.org/10.1103/physrevlett.56.2341.

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8

Cebiroglu, G., C. Weber, and L. Schimansky-Geier. "Rectification of motion in nonlinear media with asymmetric random drive." Chemical Physics 375, no. 2-3 (October 2010): 439–44. http://dx.doi.org/10.1016/j.chemphys.2010.02.015.

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9

Ruichong Zhang, Ray, and Menglin Lou. "Seismic wave motion modeling with layered 3D random heterogeneous media." Probabilistic Engineering Mechanics 16, no. 4 (October 2001): 381–97. http://dx.doi.org/10.1016/s0266-8920(01)00027-3.

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Mikheev, Lev V., Barbara Drossel, and Mehran Kardar. "Energy Barriers to Motion of Flux Lines in Random Media." Physical Review Letters 75, no. 6 (August 7, 1995): 1170–73. http://dx.doi.org/10.1103/physrevlett.75.1170.

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Дисертації з теми "Random motion in random media"

1

Jaruwatanadilok, Sermsak. "Optical wave propagation and imaging in descrete random media /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/5839.

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Wu, Ying. "Effective medium theory for elastic metamaterials and wave propagation in strongly scattered random elastic media /." View abstract or full-text, 2008. http://library.ust.hk/cgi/db/thesis.pl?PHYS%202008%20WU.

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3

Sposini, Vittoria. "A numerical study of fractional diffusion through a Langevin approach in random media." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/12494/.

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Анотація:
The study of Brownian motion has a long history and involves many different formulations. All these formulations show two fundamental common results: the mean square displacement of a diffusing particle scales linearly with time and the probability density function is a Guassian distribution. However standard diffusion is not universal. In literature there are numerous experimental measurements showing non linear diffusion in many fields including physics, biology, chemistry, engineering, astrophysics and others. This behavior can have different physical origins and has been found to occur frequently in spatially disordered systems, in turbulent fluids and plasmas, and in biological media with traps, binding sites or macro-molecular crowding. Langevin approach describes the Brownian motion in terms of a stochastic differential equation. The process of diffusion is driven by two physical parameters, the relaxation or correlation time tau and the velocity diffusivity coefficient Dv. An extension of the classical Langevin approach by means of a population of tau and Dv is here considered to generate a fractional dynamics. This approach supports the idea that fractional diffusion in complex media results from Gaussian processes with random parameters, whose randomness is due to the medium complexity. A statistical characterization of the complex medium in which the diffusion occurs is realized deriving the distributions of these parameters. Specific populations of tau and Dv lead to particular fractional diffusion processes. This approach allows for preserving the classical Brownian motion as basis and it is promising to formulate stochastic processes for biological systems that show complex dynamics characterized by fractional diffusion. A numerical study of this new alternative approach represents the core of the present thesis.
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Wong, Chik Him. "A theoretical study on the static and dynamic transport properties of classical wave in 1D random media /." View abstract or full-text, 2007. http://library.ust.hk/cgi/db/thesis.pl?PHYS%202007%20WONG.

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Meng, Hsin-fei. "Superfluidity and random media." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/103194.

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6

Lessa, Pablo. "Brownian motion on stationary random manifolds." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2014. http://tel.archives-ouvertes.fr/tel-00959923.

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On introduit le concept d'une variété aléatoire stationnaire avec l'objectif de traiter de façon unifiée les résultats sur les variétés avec un group d'isométries transitif, les variétés avec quotient compact, et les feuilles génériques d'un feuilletage compact. On démontre des inégalités entre la vitesse de fuite, l'entropie du mouvement brownien et la croissance de volume de la variété aléatoire, en généralisant des résultats d'Avez, Kaimanovich, et Ledrappier. Dans la deuxième partie on démontre que la fonction feuille d'un feuilletage compact est semicontinue, en obtenant comme conséquences le théorème de stabilité local de Reeb, une partie du théorème de structure local pour les feuilletages à feuilles compactes d'Epstein, et un théorème de continuité d'Álvarez et Candel.
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7

Tsay, Jhishen. "Wave scattering in random media." Diss., The University of Arizona, 1991. http://hdl.handle.net/10150/185541.

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We study the scattering theory for the descrete Schrodinger equation with a random potential having large finite support. We consider in one dimension a wave packet incoming from one side of the disordered section. We prove that the transmission of a wave packet is improbable if the disordered section is large, and that a fluctuation deep within the disordered section has a very small effect on the scattering of wave packets. The scattering theory for the discrete random Schrodinger equation in a strip in two dimensions is also considered. We derive large deviation bounds on the elements of the transmission matrix uniform in the energy parameter. These uniform bounds are used to show that the probability of a significant portion of a wave packet is transmitted is small as the length of the disordered section becomes large. We also study the time delay in potential scattering. We consider the situation when the potential becomes a white noise. The time delay is related to the energy derivative of the phase shift. We derive stochastic differential equations for the phase shift and the frequency derivative of the phase shift. We find that there is no time delay in the low frequency limit. However in the high frequency limit we find the time delay is a random function of the depth of the disordered section.
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8

Tseng, David Tai Hee. "Restoration of random motion degraded sonar images." Thesis, University of British Columbia, 1986. http://hdl.handle.net/2429/26338.

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The problem of sonar images degraded by wave-induced random ship motion and their restoration by filtering methods is investigated. The nature of the random motion is examined in detail, and a model is set up to describe its power spectrum in terms of the sea spectrum and the ship's receptance. A sonar measurement formula and its approximated form is derived. It is shown that the approximation represents a signal with additive coloured noise process. The signal is the measured seafloor profile and is approximated by a first-order Markov process. Several filters are proposed: Kalman Filter, Recursive Least Squares Interpolating (RLSI) Filter, and Adaptive ARMA Filter. In addition, Fast Estimation Algorithm and Adaptive Algorithm are introduced to determine unknown parameters in the Kalman Filter. Simulation results are generated using these filters. Performances are found to be strongly dependent on both signal and noise characteristics, with the exception of the RLSI Filter, which is relatively independent of wind speed, the main noise parameter. Computational complexities, estimation delay and convergence rates associated with the various filters are also examined. Finally, Extended Kalman Filter and Self-Tuning Filter are proposed as possible candidates for dealing with non-stationary, time-varying degradation problem.
Applied Science, Faculty of
Electrical and Computer Engineering, Department of
Graduate
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9

Uldry, Anne-Christine. "Two-particle excitations in random media." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.270724.

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10

Schwartz, Chaim. "Probing Random Media with Singular Waves." Doctoral diss., University of Central Florida, 2006. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4252.

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In recent years a resurgence of interest in wave singularities (of which optical vortices are a prominent example), light angular momentum and the relations between them has occurred. Many applications in various areas of linear and non-linear optics have been based on studying effects related to angular momentum and optical vortices. This dissertation examines the use of such wave singularities for studying the light propagation in highly inhomogeneous media and the relationship to angular momentum transfer. Angular momentum carried by light can be, in many cases, divided in two terms. The first one relates to the polarization of light and can be associated, in the quantum description, to the spin of a photon. The second is determined by the electromagnetic field distribution and, in analogy to atomic physics, is associated with the orbital angular momentum (OAM) of a photon. Under the paraxial approximation appropriate for the case of beam propagation, the two terms do not couple. However, each of them can be modified by the interaction with different media in which the light propagates through processes which involve angular momentum exchange. The decoupling of spin and orbital parts of light angular momentum can not, in general, be assumed for non paraxial propagation in turbid media, especially when backscattering is concerned. In Chapter 3 of this dissertation, scattering effects on angular momentum of light are discussed both for the single and multiple scattering processes. It is demonstrated for the first time that scattering from a spherically symmetric scattering potential, couples the spin and the OAM such that the total angular momentum flux density in conserved in every direction. Remarkably, the conservation of angular momentum occurs also for some classes of multiple scattering trajectories and this phenomenon manifests itself in ubiquitous polarization patterns observed in back-scattering from turbid media. It is newly shown in this dissertation that the polarization patterns a result of OAM carrying optical vortices which have a geometrical origin. These geometrical phase vortices are analyzed using the helicity space approach for optical geometrical phase (Berry phase). This approach, introduced in the con- text of random media, elucidates several aspects specific to propagation in helicity preserving and non-preserving scattering trajectories. Another aspect of singular waves interaction with turbid media relates to singularities embedded in the incident waves. Chapter 4 of the dissertation discusses how the phase distribution associated with an optical vortex leads to changes in the spatial correlations of the electromagnetic field. This change can be used to control the properties of the effect of enhanced backscattering in a way which allows inferring the optical properties of the medium. A detailed theoretical and experimental study of this effect is presented here for the first time for both double-pass geometries and diffusive media. It is also demonstrated that this novel experimental technique can be used to determine the optical properties of turbid media and, moreover, it permits to sense the depth of reflective inclusions in opaque media. When considering a regime of weakly inhomogeneous media, the paraxial approximation is still valid and therefore the spin and OAM do not couple. If, In addition, the medium is optically isotropic then the polarization is not affected. However, when the medium is non-axially symmetric for any specific realization, the OAM does change as a result of interaction with the medium. This effect can be studied using a newly developed method of coherent modes coupling which is presented in Chapter 5. This approach allows studying the power spread across propagating modes which carry different orbital angular momentum. The powerful concept of coherent modes coupling can be applied to fully coherent, fully polarized sources as well to partially coherent, partially polarized ones. An example of this scattering regime is atmospheric turbulence and the propagation through turbulence is thoroughly examined in Chapter 5. The results included in this dissertation are of fundamental relevance for a variety of applications which involves probing different types of random media. Such applications include remote sensing in atmospheric and maritime environments, optical techniques for biomedical diagnostics, optical characterization procedures in material sciences and others.
Ph.D.
Other
Optics and Photonics
Optics
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Книги з теми "Random motion in random media"

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Sznitman, Alain-Sol. Brownian Motion, Obstacles and Random Media. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-11281-6.

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2

Brownian motion, obstacles, and random media. Berlin: Springer, 1998.

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3

College), AMS-IMS-SIAM Joint Summer Research Conference on Waves in Periodic and Random Media (2002 Mount Holyoke. Waves in periodic and random media: Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Waves in Periodic and Random Media, June 22-28, 2002, Mount Holyoke College, South Hadley, MA. Providence, R.I: American Mathematical Society, 2003.

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4

Papanicolaou, George, ed. Random Media. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4613-8725-1.

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5

1939-, Kohler W. E., White Benjamin S. 1945-, and American Mathematical Society, eds. Mathematics of random media. Providence, R.I: American Mathematical Society, 1991.

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6

Furutsu, Koichi. Random Media and Boundaries. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-84807-0.

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7

V, Kohn Robert, Milton Graeme Walter 1956-, Society for Industrial and Applied Mathematics., and United States. Air Force. Office of Scientific Research., eds. Random media and composites. Philadelphia: Society for Industrial and Applied Mathematics, 1989.

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8

Steeb, W. H. Chaotic and random motion. [Johannesburg]: Rand Afrikaans Univiversity, 1987.

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9

Durrett, Rick, and Mark A. Pinsky, eds. Geometry of Random Motion. Providence, Rhode Island: American Mathematical Society, 1988. http://dx.doi.org/10.1090/conm/073.

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10

Electromagnetic scattering from random media. New York: Oxford University Press, 2008.

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Частини книг з теми "Random motion in random media"

1

Swishchuk, Anatoly, and Jianhong Wu. "Random Media." In Evolution of Biological Systems in Random Media: Limit Theorems and Stability, 1–28. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-1506-5_1.

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2

Rozanov, Yuriĭ A. "Brownian Motion." In Introduction to Random Processes, 33–43. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-72717-7_5.

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3

Bolthausen, Erwin, and Alain-Sol Sznitman. "Multi-Dimensional Random Walks in Random Environment." In Ten Lectures on Random Media, 32–39. Basel: Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8159-3_5.

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Bolthausen, Erwin, and Alain-Sol Sznitman. "More on Random Walks in Random Environment." In Ten Lectures on Random Media, 40–51. Basel: Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8159-3_6.

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5

Lüders, Klaus, and Robert O. Pohl. "Heat as Random Motion." In Pohl's Introduction to Physics, 429–51. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-40046-4_16.

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6

Nagasawa, Masao. "Mechanics of Random Motion." In Markov Processes and Quantum Theory, 1–89. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62688-4_1.

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7

Philipse, Albert P. "Random Walks in External Fields." In Brownian Motion, 133–46. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-98053-9_10.

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8

Cencini, Massimo, Andrea Puglisi, Davide Vergni, and Angelo Vulpiani. "Brownian Motion." In A Random Walk in Physics, 27–32. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72531-0_6.

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9

Papanicolaou, George C. "Diffusion in Random Media." In Surveys in Applied Mathematics, 205–53. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-0436-2_3.

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10

Borcea, Liliana. "Imaging in Random Media." In Handbook of Mathematical Methods in Imaging, 1279–340. New York, NY: Springer New York, 2015. http://dx.doi.org/10.1007/978-1-4939-0790-8_41.

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Тези доповідей конференцій з теми "Random motion in random media"

1

D'Hondt, O., and V. Caselles. "Unsupervised Motion Layer Segmentation by Random Sampling and Energy Minimization." In 2010 Conference on Visual Media Production (CVMP). IEEE, 2010. http://dx.doi.org/10.1109/cvmp.2010.25.

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2

Chanilov, Oleg I., Dmitry A. Usanov, and Anatoli V. Skripal. "Reconstruction of object nonharmonic motion function by diode laser signal operating in autodyne regime." In Saratov Fall Meeting 2004: Coherent Optics of Ordered and Random Media V, edited by Dmitry A. Zimnyakov. SPIE, 2005. http://dx.doi.org/10.1117/12.636889.

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3

Buryachenko, Valeriy A. "Micromechanical Background of Random Structure Thermoperistatic Composites." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-51161.

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In contrast to the classical local and nonlocal theories, the peridynamic equation of motion introduced by Silling (J. Mech. Phys. Solids 2000; 48: 175–209) is free of any spatial derivatives of displacement. The new general integral equations (GIE) connecting the displacement fields in the point being considered and the surrounding points of random structure composite materials (CMs) is proposed. For statistically homogemneous thermoperistatic media subjected to homogeneous volumetric boundary loading, one proved that the effective behaviour of this media is governing by conventional effective constitutive equation which is intrinsic to the local thermoelasticity theory. It was made by the most exploitation of the popular tools and concepts used in conventional thermoelasticity of CMs and adapted to thermoperistatics. The general results establishing the links between the effective properties (effective elastic moduli, effective thermal expansion) and the corresponding mechanical and transformation influence functions are obtained by the use of decomposition of local fields into the load and residual fields similarly to the locally elastic CMs. This similarity opens a way for straightforward expansion of analytical micromechanics tools for locally elastic CMs to the new area of random structure peridynamic CMs. Detailed numerical examples for 1D case are considered.
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4

Buryachenko, Valeriy A. "Micromechanics of Random Structure Thermoperistatic Composites." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65841.

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Анотація:
In contrast to the classical local and nonlocal theories, the peridynamic equation of motion introduced by Silling (J. Mech. Phys. Solids 2000; 48: 175–209) is free of any spatial derivatives of displacement. The new general integral equations (GIE) connecting the displacement fields in the point being considered and the surrounding points of random structure composite materials (CMs) is proposed. For statistically homogeneous thermoperistatic media subjected to homogeneous volumetric boundary loading, one proved that the effective behaviour of this media is governing by conventional effective constitutive equation which is intrinsic to the local thermoelasticity theory. It was made by the most exploitation of the popular tools and concepts used in conventional thermoelasticity of CMs and adapted to thermoperistatics. A generalization of the Hills equality to peri-static composites is proved. The classical representations of effective elastic moduli through the mechanical influence functions for elastic CMs are generalized to the case of peristatics, and the energetic definition of effective elastic moduli is proposed. The general results establishing the links between the effective properties (effective elastic moduli, effective thermal expansion) and the corresponding mechanical and transformation influence functions are obtained by the use of the decomposition of local fields into load and residual fields. Effective properties of thermoperistatic CM are expressed through the introduced local stress polarization tensor averaged over the extended inclusion phase. This similarity opens a way for straightforward expansion of analytical micromechanics tools for locally elastic CMs to the new area of random structure peri-dynamic CMs. Detailed numerical examples for 1D case are considered.
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5

Wilmarth, Steven A., Nancy M. Amato, and Peter F. Stiller. "Motion planning for a rigid body using random networks on the medial axis of the free space." In the fifteenth annual symposium. New York, New York, USA: ACM Press, 1999. http://dx.doi.org/10.1145/304893.304967.

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6

Feng, Zhi-Gang, and Maria Andersson. "Modeling Flows in Porous Media Using Immersed Boundary Based Lattice Boltzman Method." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-89427.

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Анотація:
Flows in porous media of fixed arrays of spheres have been studied numerically in the present work. The flow velocity and pressure fields are solved by the lattice Boltzmann method; the no-slip boundary condition at the solid-fluid interface is enforced by the immersed boundary method with the direct forcing scheme. This numerical method, which we call Proteus and initially was developed for simulations of particles in motion, has been extended to study flow over fixed arrays of spheres. The method is validated by comparing the simulated drag coefficient on a single sphere to the one obtained using an empirical drag law. The present method is then applied to obtain the dimensionless drag force on a sphere in both ordered face-centered cubic arrays of spheres and random arrays of spheres. Our results at low solid volume fraction for ordered arrays of spheres show good agreement with the theoretical solution of Hasimoto (1959). A correlation on the drag coefficient at solid fraction ranging from 0 to 0.66 has been derived based on our simulation results. This will help improve the modeling of particulate flows. The case of flow over random arrays of spheres at the solid fraction of 0.345 and flow Reynolds numbers up to 57 has also been studied. Our results agree well with the Ergun’s empirical correlation.
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7

Yan, Yu, Emilie Poirson, and Fouad Bennis. "Interactive and On-Line Learning System for Assembly Task Motion Planning." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12113.

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Анотація:
This paper presents a novel interactive motion planning system for assembly/disassembly operations. Our system consists of three layers: interaction layer, learning layer and motion library layer. In interaction layer, user’s manipulation in difficult scenario is liberated by relaxing collision constraints. The resulting path is retracted and connected by random retraction method and BiRRT algorithm. A motion path which successfully passed through the narrow passage or information of geometrical interference in failed case is returned to user. In learning layer, motion primitives corresponding to prior similar scenario are selected by scenario comparison which is based on medial axis, and then transformed to generate new motions. Significant improvement for motion planning of non-convex object in challenging scenarios with narrow passages is obtained by interactive process. The introduction of learning mechanism can reduce global planning time and obtain experiential knowledge.
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8

Borcea, L. "Imaging in Random Media." In 77th EAGE Conference and Exhibition - Workshops. Netherlands: EAGE Publications BV, 2015. http://dx.doi.org/10.3997/2214-4609.201413510.

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9

Genack, Azriel Z., and Jing Wang. "Modes in Random Media." In Frontiers in Optics. Washington, D.C.: OSA, 2010. http://dx.doi.org/10.1364/fio.2010.fthg7.

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10

Cheng, Xiaojun, and Azriel Z. Genack. "Focusing Inside Random Media." In Frontiers in Optics. Washington, D.C.: OSA, 2014. http://dx.doi.org/10.1364/fio.2014.fth1c.2.

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Звіти організацій з теми "Random motion in random media"

1

Papanicolaou, George. Imaging in Random Media. Fort Belvoir, VA: Defense Technical Information Center, April 2011. http://dx.doi.org/10.21236/ada565381.

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2

Kohler, Werner. Pulse Propagation in Random Media. Fort Belvoir, VA: Defense Technical Information Center, July 1992. http://dx.doi.org/10.21236/ada254294.

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3

Makai, M. Neutron transport in random media. Office of Scientific and Technical Information (OSTI), August 1996. http://dx.doi.org/10.2172/531065.

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4

Spencer, Thomas. Localization and Transport in Random Media. Fort Belvoir, VA: Defense Technical Information Center, February 1993. http://dx.doi.org/10.21236/ada264640.

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5

Nazikian, R. Nonstationary interference and scattering from random media. Office of Scientific and Technical Information (OSTI), December 1991. http://dx.doi.org/10.2172/5956451.

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6

Papanicolaou, George. Direct and Inverse Problems in Random Media. Fort Belvoir, VA: Defense Technical Information Center, December 1994. http://dx.doi.org/10.21236/ada293033.

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7

Duxbury, P. M. Theoretical studies of breakdown in random media. Office of Scientific and Technical Information (OSTI), January 1993. http://dx.doi.org/10.2172/6277388.

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8

Nazikian, R. Nonstationary interference and scattering from random media. Office of Scientific and Technical Information (OSTI), December 1991. http://dx.doi.org/10.2172/10115623.

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9

Prinja, Anil K., and Patrick O'Rourke. Transport in Random Media With Inhomogeneous Mixing Statistics. Office of Scientific and Technical Information (OSTI), May 2018. http://dx.doi.org/10.2172/1438709.

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10

Prinja, A., and C. Skinner. Transport in Stochastic Media with Random Chord Length Distributions. Office of Scientific and Technical Information (OSTI), September 2021. http://dx.doi.org/10.2172/1820548.

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