Relevant bibliographies by topics / Brownian configuration field

Academic literature on the topic 'Brownian configuration field'

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Published: 4 June 2021
Last updated: 21 February 2023

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Journal articles on the topic "Brownian configuration field"

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Fan, X. J., N. Phan-Thien, and R. Zheng. "Simulation of fibre suspension flows by the Brownian configuration field method." Journal of Non-Newtonian Fluid Mechanics 84, no. 2-3 (August 1999): 257–74. http://dx.doi.org/10.1016/s0377-0257(98)00175-x.

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Su, Jin, Cuihong Hou, Yingcang Ma, and Yaowu Wang. "Multilevel Monte Carlo method for the Brownian configuration field of polymer fluids." AIP Advances 10, no. 9 (September 1, 2020): 095013. http://dx.doi.org/10.1063/5.0023398.

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KANNO, RYUTARO. "Collisional transport of electrons in disturbed magnetic field." Journal of Plasma Physics 69, no. 4 (July 29, 2003): 331–37. http://dx.doi.org/10.1017/s0022377803002289.

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A path integral method is applied to a statistical analysis of electron transport described as a Langevin equation in a disturbed magnetic field line structure; in particular, the transition probability of electrons strongly tied to field lines is considered. When the effect of the Coulomb collisions is interpreted as the Gaussian white noise in configuration space, the radial transport of electrons in the chaotic field line structure is different from Brownian diffusion with the diffusion coefficient of field lines, even if a sufficiently small diffusion coefficient of the collisions is considered.
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Backhoff, Julio, Giovanni Conforti, Ivan Gentil, and Christian Léonard. "The mean field Schrödinger problem: ergodic behavior, entropy estimates and functional inequalities." Probability Theory and Related Fields 178, no. 1-2 (June 23, 2020): 475–530. http://dx.doi.org/10.1007/s00440-020-00977-8.

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Abstract We study the mean field Schrödinger problem (MFSP), that is the problem of finding the most likely evolution of a cloud of interacting Brownian particles conditionally on the observation of their initial and final configuration. Its rigorous formulation is in terms of an optimization problem with marginal constraints whose objective function is the large deviation rate function associated with a system of weakly dependent Brownian particles. We undertake a fine study of the dynamics of its solutions, including quantitative energy dissipation estimates yielding the exponential convergence to equilibrium as the time between observations grows larger and larger, as well as a novel class of functional inequalities involving the mean field entropic cost (i.e. the optimal value in (MFSP)). Our strategy unveils an interesting connection between forward backward stochastic differential equations and the Riemannian calculus on the space of probability measures introduced by Otto, which is of independent interest.
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Nguyen, Hung Quoc, and Canh-Dung Tran. "Simulation of non-dilute fibre suspensions using RBF-based macro–micro multiscale method." Korea-Australia Rheology Journal 34, no. 1 (February 2022): 1–15. http://dx.doi.org/10.1007/s13367-022-00022-1.

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AbstractThe multiscale stochastic simulation method based on the marriage of the Brownian Configuration Field (BCF) and the Radial Basis Function mesh-free approximation for dilute fibre suspensions by our group, is further developed to simulate non-dilute fibre suspensions. For the present approach, the macro and micro processes proceeded at each time step are linked to each other by a fibre contributed stress formula associated with the used kinetic model. Due to the feature of non-dilute fibre suspensions, the interaction between fibres is introduced into the evolution equation to determine fibre configurations using the BCF method. The fibre stresses are then determined based on the fibre configuration fields using the Phan–Thien–Graham model. The efficiency of the simulation method is demonstrated by the analysis of the two challenging problems, the axisymmetric contraction and expansion flows, for a range of the fibre concentration from semi-dilute to concentrated regimes. Results evidenced by numerical experiments show that the present method would be potential in analysing and simulating various suspensions in food and medical industries.
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Chauvière, C., and A. Lozinski. "An Efficient Technique for Simulations of Viscoelastic Flows, Derived from the Brownian Configuration Field Method." SIAM Journal on Scientific Computing 24, no. 5 (January 2003): 1823–37. http://dx.doi.org/10.1137/s1064827502400820.

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Mahdy, A., and GA Hoshoudy. "EMHD time-dependant tangent hyperbolic nanofluid flow by a convective heated Riga plate with chemical reaction." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 233, no. 4 (October 18, 2018): 776–86. http://dx.doi.org/10.1177/0954408918805261.

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The present exploration addresses the boundary layer electro-magnetohydrodynamic (EMHD) flow of time-dependant non-Newtonian tangent hyperbolic nanofluid that is electrically conducting past a Riga surface with variable thickness and slip boundary condition. Configuration flow modeling is deduced considering chemical reaction and heat generation/absorption with the impacts of Brownian motion and thermophoresis. Also a newly proposed boundary condition with zero mass flux has been presented in the current contribution. Numerical solution of the governing non-linear differential equations is presented by considering the shooting technique. Graphical illustrations pointing out the aspects of distinct physical parameters on the non-Newtonian nanofluid velocity, temperature and concentration fields are introduced. From the computational results, the concentration distribution gives a decreasing function of the chemical reaction and Brownian motion parameters. Higher values of shape parameter yield a negative influence on the mechanical properties of the surface. The Hartmann number leads to maximize both of velocity field and skin friction coefficient. Additionally, numerical computed values of the skin friction, local Nusselt and Sherwood numbers are depicted with the needful discussion.
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Lu, Zhumin, Boo Cheong Khoo, Hua-Shu Dou, Nhan Phan-Thien, and Khoon Seng Yeo. "Numerical simulation of fibre suspension flow through an axisymmetric contraction and expansion passages by Brownian configuration field method." Chemical Engineering Science 61, no. 15 (August 2006): 4998–5009. http://dx.doi.org/10.1016/j.ces.2006.03.051.

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Ashraf, Muhammad, Anwar Khan, Amir Abbas, Abid Hussanan, Kaouther Ghachem, Chemseddine Maatki, and Lioua Kolsi. "Finite Difference Method to Evaluate the Characteristics of Optically Dense Gray Nanofluid Heat Transfer around the Surface of a Sphere and in the Plume Region." Mathematics 11, no. 4 (February 10, 2023): 908. http://dx.doi.org/10.3390/math11040908.

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The current research study is focusing on the investigation of the physical effects of thermal radiation on heat and mass transfer of a nanofluid located around a sphere. The configuration is investigated by solving the partial differential equations governing the phenomenon. By using suitable non-dimensional variables, the governing set of partial differential equations is transformed into a dimensionless form. For numerical simulation, the attained set of dimensionless partial differential equations is discretized by using the finite difference method. The effects of the governing parameters, such as the Brownian motion parameter, the thermophoresis parameter, the radiation parameter, the Prandtl number, and the Schmidt number on the velocity field, temperature distribution, and mass concentration, are presented graphically. Moreover, the impacts of these physical parameters on the skin friction coefficient, the Nusselt number, and the Sherwood number are displayed in the form of tables. Numerical outcomes reflect that the effects of the radiation parameter, thermophoresis parameter, and the Brownian motion parameter intensify the profiles of velocity, temperature, and concentration at different circumferential positions on the sphere.
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Gimsa, Jan, and Michal M. Radai. "Dielectrophoresis from the System’s Point of View: A Tale of Inhomogeneous Object Polarization, Mirror Charges, High Repelling and Snap-to-Surface Forces and Complex Trajectories Featuring Bifurcation Points and Watersheds." Micromachines 13, no. 7 (June 26, 2022): 1002. http://dx.doi.org/10.3390/mi13071002.

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Microscopic objects change the apparent permittivity and conductivity of aqueous systems and thus their overall polarizability. In inhomogeneous fields, dielectrophoresis (DEP) increases the overall polarizability of the system by moving more highly polarizable objects or media to locations with a higher field. The DEP force is usually calculated from the object’s point of view using the interaction of the object’s induced dipole or multipole moments with the inducing field. Recently, we were able to derive the DEP force from the work required to charge suspension volumes with a single object moving in an inhomogeneous field. The capacitance of the volumes was described using Maxwell–Wagner’s mixing equation. Here, we generalize this system’s-point-of-view approach describing the overall polarizability of the whole DEP system as a function of the position of the object with a numerical “conductance field”. As an example, we consider high- and low conductive 200 µm 2D spheres in a square 1 × 1 mm chamber with plain-versus-pointed electrode configuration. For given starting points, the trajectories of the sphere and the corresponding DEP forces were calculated from the conductance gradients. The model describes watersheds; saddle points; attractive and repulsive forces in front of the pointed electrode, increased by factors >600 compared to forces in the chamber volume where the classical dipole approach remains applicable; and DEP motions with and against the field gradient under “positive DEP” conditions. We believe that our approach can explain experimental findings such as the accumulation of viruses and proteins, where the dipole approach cannot account for sufficiently high holding forces to defeat Brownian motion.
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Dissertations / Theses on the topic "Brownian configuration field"

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Fan, Xijun. "Numerical study on some rheological problems of fibre suspensions." Thesis, The University of Sydney, 2006. http://hdl.handle.net/2123/1096.

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This thesis deals with numerical investigations on some rheological problems of fibre suspensions: the fibre level simulation of non-dilute fibre suspensions in shear flow; the numerical simulation of complex fibre suspension flows and simulating the particle motion in viscoelastic flows. These are challenging problems in rheology. Two numerical approaches were developed for simulating non-dilute fibre suspensions from the fibre level. The first is based on a model that accounts for full hydrodynamic interactions between fibres, which are approximately calculated as a superposition of the long-range and short-range hydrodynamic interactions. The long-range one is approximated by using slender body theory and includes infinite particle interactions. The short-range one is approximated in terms of the normal lubrication forces between close neighbouring fibres. The second is based on a model that accounts only for short-range interactions, which comprise the lubrication forces and normal contact and friction forces. These two methods were applied to simulate the microstructure evolution and rheological properties of non-dilute fibre suspensions. The Brownian configuration method was combined with the highly stable finite element method to simulate the complex flow of fibre suspensions. The method is stable and robust, and can provide both micro and macro information. It does not require any closure approximations in calculating the fibre stress tensor and is more efficient and variance reduction, compared to CONNFFESSITT, for example. The flow of fibre suspensions past a sphere in a tube and the shear induced fibre migration were successfully simulated using this method The completed double layer boundary element method was extended to viscoelastic flow cases. A point-wise solver was developed to solve the constitutive equation point by point and the fixed least square method was employed to interpolate and differentiate data locally. The method avoids volume meshing and only requires the boundary mesh on particle surfaces and data points in the flow domain. A sphere settling in the Oldroyd-B fluid and a prolate spheroid rotating in shear flow of the Oldroyd-B fluid were simulated. Based on the simulated orbit of a prolate spheroid in shear flow, a constitutive model for the weakly viscoelastic fibre suspensions was proposed and its predictions were compared with some available experimental results. All simulated results are in general agreement with experimental and other numerical results reported in literature. This indicates that these numerical methods are useful tools in rheological research.
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Fan, Xijun. "Numerical study on some rheological problems of fibre suspensions." School of Aerospace, Mechanical & Mechatronic Engineering, 2006. http://hdl.handle.net/2123/1096.

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Doctor of philosophy (Ph D)
This thesis deals with numerical investigations on some rheological problems of fibre suspensions: the fibre level simulation of non-dilute fibre suspensions in shear flow; the numerical simulation of complex fibre suspension flows and simulating the particle motion in viscoelastic flows. These are challenging problems in rheology. Two numerical approaches were developed for simulating non-dilute fibre suspensions from the fibre level. The first is based on a model that accounts for full hydrodynamic interactions between fibres, which are approximately calculated as a superposition of the long-range and short-range hydrodynamic interactions. The long-range one is approximated by using slender body theory and includes infinite particle interactions. The short-range one is approximated in terms of the normal lubrication forces between close neighbouring fibres. The second is based on a model that accounts only for short-range interactions, which comprise the lubrication forces and normal contact and friction forces. These two methods were applied to simulate the microstructure evolution and rheological properties of non-dilute fibre suspensions. The Brownian configuration method was combined with the highly stable finite element method to simulate the complex flow of fibre suspensions. The method is stable and robust, and can provide both micro and macro information. It does not require any closure approximations in calculating the fibre stress tensor and is more efficient and variance reduction, compared to CONNFFESSITT, for example. The flow of fibre suspensions past a sphere in a tube and the shear induced fibre migration were successfully simulated using this method The completed double layer boundary element method was extended to viscoelastic flow cases. A point-wise solver was developed to solve the constitutive equation point by point and the fixed least square method was employed to interpolate and differentiate data locally. The method avoids volume meshing and only requires the boundary mesh on particle surfaces and data points in the flow domain. A sphere settling in the Oldroyd-B fluid and a prolate spheroid rotating in shear flow of the Oldroyd-B fluid were simulated. Based on the simulated orbit of a prolate spheroid in shear flow, a constitutive model for the weakly viscoelastic fibre suspensions was proposed and its predictions were compared with some available experimental results. All simulated results are in general agreement with experimental and other numerical results reported in literature. This indicates that these numerical methods are useful tools in rheological research.
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Book chapters on the topic "Brownian configuration field"

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Ramírez, Jorge, and Manuel Laso. "Implicit Viscoelastic Calculations using Brownian Configuration Fields." In Computer Aided Chemical Engineering, 161–80. Elsevier, 2006. http://dx.doi.org/10.1016/s1570-7946(06)80010-6.

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Robledo, Alberto. "Unifying Laws in Multidisciplinary Power-Law Phenomena: Fixed-Point Universality and Nonextensive Entropy." In Nonextensive Entropy. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780195159769.003.0008.

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Critical, power-law behavior in space and/or time manifests in a large variety of complex systems [12] within physics and, nowadays, more conspicuously in other fields, such as biology, ecology, geophysics, and economics. Universality, the same power law holding for completely different systems, is a consequence of the characteristic self-similar, scale-invariant property of criticality, and can be understood in terms of basins of attraction of the renormalization-group (RG) fixed points. However, the guiding quality of a variatkmal approach has been seemingly lacking in the theoretical studies of critical phenomena. Here we give an account of entropy extrema associated with fixed points of RG transformations. As illustrations, we consider simple one-dimensional models of random walks and nonlinear dynamical systems. In describing these systems we consider distribution and/or time relaxation functions with power-law decay that may have infinite first- or second- and higher-order moments. When these moments diverge, we observe the emergence of nonexponential or non-Gaussian fractal properties that can be measured by the nonextensive Tsallis entropy index q. We note that the presence of nonextensive properties may signal situations of hindered movement among the system's possible configurations. Some representative applications within physics, but with suggested or recognized connections to other fields, are critical behavior in fluids and magnets, anomalous diffusion processes, transitions to chaos in nonlinear systems, and relaxation properties of supercooled liquids near the glass formation. Two prototypical model systems serve to illustrate the development of critical states characterized by power laws from generic states described by exponential behavior. These are random walks and nonlinear iterated maps that we discuss below in some detail. Random walks [18] are suitable, for example, for representing Brownian motion (molecular thermal motion under the microscope), but also for many types of data originating from diverse disciplines. One type is that which comes in the form of a "time series," a temporal sequence of measured values, for instance, stock market prices in economics or electroencephalographic potentials in medicine.
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Conference papers on the topic "Brownian configuration field"

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Gobert, Christian, Florian Schwertfirm, and Michael Manhart. "Lagrangian Scalar Tracking for Laminar Micromixing at High Schmidt Numbers." In ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/fedsm2006-98035.

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In many mixing processes the Schmidt number can easily reach very high values. In such cases the computation of the scalar field by Eulerian methods causes extremely high memory requirements. In the present study we circumvent this problem by adopting a Lagrangian particle tracking method to compute the scalar field in a laminar T-mixer configuration. The flow field is computed by direct numerical simulation (DNS). The movements of representative molecules are determined by the Langevin equation, describing convection by the flow-field and diffusion due to Brownian motion. The scalar field is computed by evaluation of the particle distribution. The particle density required for calculation of resolved concentration fields increases with increasing Schmidt number. For stationary flow regimes, the effective particle density could be increased via sampling in time. In the unsteady case, the effective density can be augmented by parallelization over the particles. No model is required in this approach, and concentration fields for very high Schmidt numbers can be computed. With this method is was possible to compute the fully resolved concentration field in a T-shaped micromixer at Schmidt number 3571 and Reynolds numbers 186 (steady) and 240 (unsteady). Schlu¨ter et. al. [CIT, 76(11), 2004] examined the stationary configuration experimentally. The agreement between numerical and experimental results is excellent. The developed method provides a possibility to compute the fully resolved scalar field in laminar flow regimes at a wide range of Schmidt numbers. It seems that in the cases under consideration Euler methods cannot provide such results. Therefore the proposed method represents a new basis for the prediction of mixing and the development of mixing models for high Schmidt number flows.
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Wereley, Steven T., Edward Judokusumo, Aloke Kumar, and Stuart Williams. "Velocity Fields in Opto-Electrically Induced Fluid Flows." In ASME 2009 7th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2009. http://dx.doi.org/10.1115/icnmm2009-82153.

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In this paper we demonstrate opto-electrothermal pumping in a very simple setup consisting primarily of parallel electrodes and explore the characteristics of such flows with different optical intensity patterns. For our parallel electrode configuration setup, ITO-coated electrodes were used to generate electric fields. The optical illumination system uses a focused laser beam 1,064nm, continuous mode. The experiments are analyzed in terms of existing analytical models for electrothermal flows. Microvortices created using the electric field and optical illumination resembles a sink/source type flow with the laser spot as the center of the sink/source. The flow velocity is characterized as a function of the AC signal frequency and the strength of electric field. At larger frequencies (f > 1 MHz), the velocity of the vortices decreases and around f > 5 MHz, Brownian motion is more dominant than the vortices. The line illumination is created by holographically stretching the point illumination. The line is about 28 μm in length. Result of this experiment is determined by means of visualization only. The creation of these vortices can not only be used to create microfluidic pumps but also also show immense promise as microfluidic mixers without utilizaing any invasive components.
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Judokusumo, Edward, Aloke Kumar, Stuart Williams, and Steve Wereley. "Analysis of Optically Induced Fluid Flows in Electric Fields." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66935.

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In this paper we demonstrate opto-electrothermal pumping in a very simple setup consisting primarily of parallel electrodes and explore the characteristics of such flows with different optical intensity patterns. For our parallel electrode configuration setup, ITO-coated electrodes were used to generate electric fields. The optical illumination system uses a laser beam (continuous wave, 1,064 nm). The experiments are analyzed in terms of existing analytical models for electrothermal flows. Microvortices created using the electric field and focused laser beam resembles a sink/source type flow with the laser spot as the center of the sink/source. The flow velocity is characterized as a function of the AC signal frequency and the strength of electric field. At larger frequencies (f > 1 MHz), the velocity of the vortices decreases and around f > 5 MHz, Brownian motion dominates fluid flow. The line illumination is created by holographically stretching the point illumination. The line is about 28 μm in length. Result of this experiment is determined by means of visualization only. The creation of these vortices can not only be used to create microfluidic pumps but also also show immense promise as microfluidic mixers without utilizaing any invasive components.
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