Relevant bibliographies by topics / Many-particle system

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Many-particle system'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "Many-particle system"

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Bornath, Th, D. Kremp, and M. Schlanges. "Two-particle problem in a nonequilibrium many-particle system." Physical Review E 60, no. 6 (December 1, 1999): 6382–94. http://dx.doi.org/10.1103/physreve.60.6382.

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Kraeft, W. D., D. Kremp, K. Kilimann, and H. E. DeWitt. "Two-body problem in a many-particle system." Physical Review A 42, no. 4 (August 1, 1990): 2340–45. http://dx.doi.org/10.1103/physreva.42.2340.

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LIU, YU-LIANG. "APPLICATION OF EIGENFUNCTIONAL THEORY ON QUANTUM MANY-PARTICLE SYSTEMS." International Journal of Modern Physics B 16, no. 27 (October 30, 2002): 4127–63. http://dx.doi.org/10.1142/s0217979202014693.

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We first introduce the basic ingredients of the eigenfunctional theory, and show that a D-dimensional quantum many-particle system is mapped into a (D+1)-dimensional time-depending single-particle problem, and in the representation of the eigenfunctionals of the particle propagator, the particles become free. Then using this method, we study five kinds of quantum many-particle systems: interacting boson system, repulsive, attractive interacting fermion systems, Hubbard model and single-impurity scattering in one-dimensional fermion system, and demonstrate that the microscopic Bogoliubov theory and the phenomenological Bijl–Feynman theory of the bosons are closely related, and apart from an anti-symmetry factor Det ‖eikj·xl‖ the ground state wave function of the repulsive interacting fermion system has a similar form to that of the interacting boson system. Moreover, we show that the attractive interacting fermion system has a sound-type excitation spectrum like that in the interacting boson system. For one-dimensional Hubbard model we calculate the electron Green's function, and charge and spin density–density correlation functions which are consistent with the exact ones obtained by the Bethe ansatz and numerical calculations, and show that the ground state energy is increasing with U, and the electrons has single-occupied constraint in the large U limit. Finally, we demonstrate clearly the evolution of the system from its ultraviolet fixed point to infrared critical fixed point as the impurity potential increases. At the infrared critical fixed point, the fermion Green's function shows that the fermions are completely reflected on the impurity site.
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Noh, Hyun Sik, Chul Koo Kim, and Kyun Nahm. "Functional Schrödinger picture approach to a many-particle system." Physics Letters A 204, no. 2 (August 1995): 162–68. http://dx.doi.org/10.1016/0375-9601(95)00449-d.

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Lev, B. I., and A. G. Zagorodny. "Statistical Description of Non-Equilibrium Many-Particle Systems." Ukrainian Journal of Physics 65, no. 12 (December 18, 2020): 1056. http://dx.doi.org/10.15407/ujpe65.12.1056.

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In most cases, the systems of interacting particles are non-equilibrium. In this review, a new approach based on the application of a non-equilibrium statistical operator is presented, which allows the inhomogeneous distributions of the particles and the temperature to be taken into account. The method uses the saddle-point procedure to find dominant contributions to the partition function of the system and enables all of its thermodynamic parameters to be determined. Probable peculiarities in the behavior of the systems with interaction – such as gravitational systems, systems with Coulombic repulsion, and so forth – under various thermodynamic conditions are predicted. A new approach is proposed to describe non-equilibrium systems in the energy space, which is an extension of the Gibbs approach to macroscopic systems under non-equilibrium conditions. It allows the stationary states and the dynamics of non-equilibrium systems to be described.
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Stańczy, R. "The existence of equilibria of many-particle systems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 139, no. 3 (May 26, 2009): 623–31. http://dx.doi.org/10.1017/s0308210508000413.

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In this paper we obtain the existence of a radial solution for some elliptic non-local problem with constraints. The problem arises from some mean field equation which models, among other things, a system of self-gravitating particles when one looks for its stationary solutions. We include the cases of Maxwell—Boltzmann, Fermi—Dirac and polytropic statistics.
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Avery, John. "Orbital angular momentum eigenfunctions for many-particle systems." Canadian Journal of Chemistry 63, no. 7 (July 1, 1985): 1719–22. http://dx.doi.org/10.1139/v85-289.

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Methods are presented for constructing eigenfunctions of the total orbital angular momentum operator of a many-particle system without the use of the Clebsch–Gordan coefficients. One of the equations derived in this paper is analogous to Dirac's identity for total spin; and through this equation, a connection is established between eigenfunctions of L2 and irreducible representations of the symmetric group Sn.
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CELEGHINI, ENRICO, and MARIO RASETTI. "MANY-PARTICLE QUANTUM STATISTICS AND CO-ALGEBRA." International Journal of Modern Physics B 10, no. 13n14 (June 30, 1996): 1625–36. http://dx.doi.org/10.1142/s0217979296000714.

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Duplication of the space of states, peculiar of Thermo-field Dynamics, is related to fundamental physical concepts such as the idea of “isolated system”. By a correct mathematical description of such doubling of the Fock space in terms of co-algebra, the algebra h(1) and its quantum deformation hq(1) are shown to pertain to classical objects rather than to bosons, which are instead properly described by su(1, 1). In addition new statistics are introduced, connected to the graded algebra osp(1|2) and the q-algebras suq(1, 1) and ospq(1|2).
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Dinariev, O. Yu. "Nonlocal hydrodynamics of a many-particle quantum system at zero temperature." Russian Physics Journal 40, no. 8 (August 1997): 741–45. http://dx.doi.org/10.1007/bf02508802.

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Berman, G. P., and A. M. Kagansky. "Stochasticity in a many-particle system with finite time of interaction." Physics Letters A 107, no. 3 (January 1985): 115–19. http://dx.doi.org/10.1016/0375-9601(85)90727-3.

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Dissertations / Theses on the topic "Many-particle system"

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Yin, Qitao [Verfasser], and Li [Akademischer Betreuer] Chen. "Mean field limit of many particle system with non-Lipschitz force / Qitao Yin ; Betreuer: Li Chen." Mannheim : Universitätsbibliothek Mannheim, 2019. http://d-nb.info/1192664019/34.

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Winkler, Anton. "Analytic approaches to stochastic many-particle systems." Diss., lmu, 2012. http://nbn-resolving.de/urn:nbn:de:bvb:19-151131.

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Dammer, Stephan M. "Stochastic many-particle systems with irreversible dynamics." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=974953334.

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Dammer, Stephan Markus. "Stochastic many-particle systems with irreversible dynamics." Gerhard-Mercator-Universitaet Duisburg, 2005. http://www.ub.uni-duisburg.de/ETD-db/theses/available/duett-01282005-115619/.

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In this thesis, several stochastic models are investigated, which are subjected to irreversible dynamics. Motivation for the presented work stems, on the one hand, from particular physical systems under consideration, which are modeled by the studied stochastic processes. Besides that, the models discussed in this thesis are, on the other hand, generally interesting from the point of view of statistical physics, since they describe systems far from thermodynamic equilibrium. Interesting properties to be encountered are, e.g., dynamical scaling behavior or continuous phase transitions. The first issue to be addressed, is the investigation of irreversibly aggregating systems, where the main emphasis is laid on aggregation of monopolarly charged clusters suspended in a fluid. For this purpose, rate equations are analyzed and Brownian dynamics simulations are performed. It is shown that the system crosses over from power-law cluster growth to sub-logarithmic cluster growth. Asymptotically, the cluster size distribution evolves towards a universal scaling form, which implies a 'self-focussing' of the size distribution. Another emphasis of this thesis is the investigation of nonequilibrium critical phenomena, in particular, the study of phase transitions into absorbing states (states that may be reached irreversibly). To this end, the continuous nonequilibrium phase transition of directed percolation, which serves as a paradigm for absorbing-state phase transitions, is analyzed by a novel approach. Despite the lack of a partition function for directed percolation, this novel approach follows the ideas of Yang-Lee theory of equilibrium statistical mechanics, by investigating the complex roots of the survival probability. Stochastic models such as directed percolation mimic spreading processes, e.g., the spreading of an infectious disease. The effect of long-time memory, which is not included in directed percolation and which corresponds to immunization in epidemic spreading, is investigated through an appropriate model. This model includes dynamical percolation (perfect immunization) as a special case, as well as directed percolation (no immunization). The critical behavior of this model is studied by means of Monte Carlo simulations, in particular for weak immunization. A further generalization is investigated, which allows spontaneous mutations and different species of spreading agents (pathogens). Restricting the analysis to perfect immunization and two spatial dimensions, it is shown by Monte Carlo simulations, that immunization leads to a crossover from dynamical to directed percolation. Other properties of this model are discussed in detail.
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Blois, Cindy Marie. "Functional integral representations for quantum many-particle systems." Thesis, University of British Columbia, 2015. http://hdl.handle.net/2429/54193.

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Formal functional integrals are commonly used as theoretical tools and as sources of intuition for predicting phase transitions of many-body systems in Condensed Matter Physics. In this thesis, we derive rigorous versions of these functional integrals for two types of quantum many-particle systems. We begin with a brief review of quantum statistical mechanics in Chapter 2 and the formalism of coherent states in Chapter 3, which form the basis for our analysis in Chapters 4 and 5. In Chapter 4, we study a mixed gas of bosons and/or fermions interacting on a finite lattice, with a general Hamiltonian that preserves the total number of particles in each species. We rigorously derive a functional integral representation for the partition function, which employs a large-field cutoff for the boson fields. We then expand the resulting “action” in powers of the fields and find a recursion relation for the coefficients. In the case of a two-body interaction (such as the Coulomb interaction), we also find bounds on the coefficients, which give a domain of analyticity for the action. This domain is large enough for use of the action in the functional integral, provided that the large-field cutoffs are taken to grow not too quickly. In Chapter 5, we study a system of electrons and phonons interacting in a finite lattice, using the Holstein Hamiltonian. Again, we rigorously derive a coherent-state functional integral representation for the partition function of this system and then prove that the “action” in the functional integral is an entire-analytic function of the fields. However, since the Holstein Hamiltonian does not preserve the total number of bosons, the approach from Chapter 4 requires some modification. In particular, we repeatedly use Duhamel expansions in powers of the interaction, rather than sums over particle numbers.
Science, Faculty of
Mathematics, Department of
Graduate
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Kerner, Joachim Friedrich. "Interacting many-particle systems on general compact quantum graphs." Thesis, University of London, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.603454.

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In this thesis, we discuss many-particle systems on general compact quantum graphs. The results cover systems of distinguishable particles as well as systems of bosons or fermions. The main focus lies on the introduction of many-particle interactions in order to establish a useful model regarding many-particle quantum chaos 811d onc-dimensional Bose-Einstein condensation (BEC). Using suitable quadratic forms, we will characterise self-adjoint realisations of the two- and many-particle Laplacian which incorporate two different types of interactions, i.e. singular interactions localised at the vertices of the graph and contact interactions which are also present along the edges. In that context, we will establish regularity results in order to characteristic the domains of the self-adjoint realisations explicitly. We will also discuss spectral properties of the constructed operators by establishing discreteness of their spectra and Weyl laws for the corresponding eigenvalue counts. Finally, based on the introduced models of interacting particles, we discuss BoseEinstein condensation on general quantum graphs. We will distinguish between systems of bosons for which BEC occurs and such for which no BEC is present at any finite temperature. As a final result, we prove that no Bose-Einstein condensation occurs (in the sense of phase transitions) in a system of bosons interacting via repulsive hard-core interactions.
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Rulands, Steffen. "Heterogeneity and spatial correlations in stochastic many-particle systems." Diss., Ludwig-Maximilians-Universität München, 2013. http://nbn-resolving.de/urn:nbn:de:bvb:19-173338.

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Børkje, Kjetil. "Theoretical Studies of Unconventional Order in Quantum Many-Particle Systems." Doctoral thesis, Norwegian University of Science and Technology, Department of Physics, 2008. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-2013.

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Nikolaev, Valentin. "Many-particle correlations in quasi-two-dimensional electron-hole systems." Thesis, University of Exeter, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.248096.

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Zhang, Ge. "Exotic Ordered and Disordered Many-Particle Systems with Novel Properties." Thesis, Princeton University, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10622528.

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This dissertation presents studies on several statistical-mechanical problems, many of which involve exotic many-particle systems. In Chapter 2, we present an algorithm to generate Random Sequential Addition (RSA) packings of hard hyperspheres at the infinite-time saturation limit, and investigate this limit with unprecedented precision. In Chapter 3, we study the problem of devising smooth, short-ranged isotropic pair potentials such that their ground state is an unusual targeted crystalline structure. We present a new algorithm to do so, and demonstrate its capability by targeting several singular structures that were not known to be achievable as ground states with isotropic interactions.

A substantial portion of this dissertation examines exotic many-particle systems with so-called “collective-coordinate” interactions. They include “stealthy” potentials, which are isotropic pair potentials with disordered and infinitely degenerate ground states as well as “perfect-glass” interactions, which have up to four-body contributions, and possess disordered and unique ground states, up to trivial symmetry operations. Chapters 4-7 study the classical ground states of “stealthy” potentials. We establish a numerical means to sample these infinitely-degenerate ground states in Chapter 4 and study exotic “stacked-slider” phases that arise at suitable low densities in Chapter 5. In Chapters 6 and 7, we investigate several geometrical and physical properties of stealthy systems. Chapter 8 studies lattice-gas systems with the same stealthy potentials. Chapter 9 is concerned with the introduction and study of the perfect-glass paradigm. Chapter 10 demonstrates that perfect-glass interactions indeed possess disordered and unique classical ground states—a highly counterintuitive proposition.

In Chapter 11, we use statistical-mechanical methods to characterize the spatial distribution of the prime numbers. We show that the primes are much more ordered than anyone previously thought via the structure factor. Indeed, they are characterized by infinitely many Bragg peaks in any non-zero interval of wave vectors, yet unlike quasicrystals, the ratio between the heights or locations of any two Bragg peaks is always rational. We analytically explain the locations and heights of all such peaks.

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Books on the topic "Many-particle system"

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Henri, Orland, ed. Quantum many-particle systems. Reading, MA: Perseus Books, 1998.

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Henri, Orland, ed. Quantum many-particle systems. Redwood City, Calif: Addison-Wesley Pub. Co., 1988.

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Bazarov, I. P. Theory of many-particle systems. New York: American Institute of Physics, 1989.

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Arkeryd, Leif, Pierre-Louis Lions, Peter A. Markowich, and Srinivasa R. S. Varadhan. Nonequilibrium Problems in Many-Particle Systems. Edited by Carlo Cercignani and Mario Pulvirenti. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/bfb0090926.

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Cabra, Daniel C., Andreas Honecker, and Pierre Pujol, eds. Modern Theories of Many-Particle Systems in Condensed Matter Physics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-10449-7.

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Modern theories of many-particle systems in condensed matter physics. Heidelberg: Springer, 2012.

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Endres, Manuel. Probing Correlated Quantum Many-Body Systems at the Single-Particle Level. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05753-8.

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Patil, S. H. Asymptotic methods in quantum mechanics: Application to atoms, molecules, and nuclei. Berlin: Springer, 2000.

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(Editor), J. Ullrich, and V. P. Shevelko (Editor), eds. Many-Particle Quantum Dynamics in Atomic and Molecular Fragmentation (Springer Series on Atomic, Optical, and Plasma Physics). Springer, 2003.

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Horing, Norman J. Morgenstern. Equations of Motion with Particle–Particle Interactions and Approximations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0008.

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Starting with the equation of motion for the field operator ψ(x,t) of an interacting many-particle system, the n-particle Green’s function (Gn) equation of motion is developed, with interparticle interactions generating an infinite chain of equations coupling it to (n+1)- and (n−1)-particle Green’s functions (Gn+1 and Gn−1, respectively). Particularly important are the one-particle Green’s function equation with its coupling to the two-particle Green’s function and the two-particle Green’s function equation with its coupling to the three-particle Green’s function. To develop solutions, it is necessary to introduce non-correlation decoupling procedures involving the Hartree and Hartree-Fock approximations for G2 in the G1 equation; and a similar factorization “ansatz” for G3 in the G2 equation, resulting in the Sum of Ladder Diagrams integral equation for G2, with multiple Born iterates and finite collisional lifetimes. Similar treatment of the G11-equation for the joint propagation of one-electron and one-hole subject to mutual Coulomb attraction leads to bound electron-hole exciton states having a discrete hydrogen like spectrum of energy eigenstates. Its role in single-particle propagation is also discussed in terms of one-electron self-energy Σ‎ and the T-matrix
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Book chapters on the topic "Many-particle system"

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Cercignani, C., V. I. Gerasimenko, and D. Ya Petrina. "The Initial Value Problem for the BBGKY Hierarchy of a System of a Finite Number of Particles." In Many-Particle Dynamics and Kinetic Equations, 67–109. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5558-8_3.

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Shkrebtii, A., and M. Rohlfing. "Determination of the total energy of a many-particle system." In Physics of Solid Surfaces, 28–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-53908-8_5.

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Capasso, V., D. Morale, and C. Salani. "Modeling and Simulating the Crystallization of Polymers via a Many-Particle System." In Progress in Industrial Mathematics at ECMI 2000, 408–14. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04784-2_54.

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Christiansen, P. L., Yu B. Gaididei, V. Z. Enol’skii, and D. V. Leykin. "The Ultrasonic Charge-Density-Waves and Integrable Many Particle Hénon-Heiles System." In NATO ASI Series, 455–60. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1609-9_72.

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Yamaleev, Robert. "New Dynamical Equations for Many Particle System on the Basis of Multicomplex Algebra." In Clifford Algebras and Their Application in Mathematical Physics, 433–41. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5036-1_33.

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Gustafson, Stephen J., and Israel Michael Sigal. "Many-particle Systems." In Mathematical Concepts of Quantum Mechanics, 79–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55729-3_8.

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Ludyk, Günter. "Many Particle Systems." In Quantum Mechanics in Matrix Form, 111–28. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-26366-3_10.

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Julg, André. "Many-particle systems." In Lecture Notes in Chemistry, 144–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-48939-6_11.

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Nolting, Wolfgang. "Many-Particle Systems." In Theoretical Physics 7, 219–91. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63324-4_4.

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Rudan, Massimo. "Many-Particle Systems." In Physics of Semiconductor Devices, 301–26. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63154-7_15.

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Conference papers on the topic "Many-particle system"

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Busch, Thomas, Thomas Fogarty, Nicola Lo Gullo, John Goold, and Mauro Paternostro. "Probing a Many-particle System Using a Single Qubit." In Quantum Information and Measurement. Washington, D.C.: OSA, 2012. http://dx.doi.org/10.1364/qim.2012.qw2a.7.

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Hu, Wang, Gary G. Yen, and Xin Zhang. "Sensitivity analysis of Parallel Cell Coordinate System in Many-objective Particle Swarm Optimization." In 2014 IEEE Congress on Evolutionary Computation (CEC). IEEE, 2014. http://dx.doi.org/10.1109/cec.2014.6900440.

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Fujiwara, Makoto. "Simulation of FT-ICR mass spectra with a special-purpose computer for many-particle systems." In 2008 Asia Simulation Conference - 7th International Conference on System Simulation and Scientific Computing (ICSC). IEEE, 2008. http://dx.doi.org/10.1109/asc-icsc.2008.4675533.

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Keebaugh, Christof, Emily Marshman, and Chandralekha Singh. "Student difficulties with the number of distinct many-particle states for a system of non-interacting identical particles with a fixed number of available single-particle states." In 2018 Physics Education Research Conference. American Association of Physics Teachers, 2019. http://dx.doi.org/10.1119/perc.2018.pr.keebaugh.

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Sanin, Andrey L., and Vera G. Ulianova. "One-dimensional quantum hydrodynamic models of motion for single-electron and many-particle system with the self-consistent electrical field." In Fourth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering. SPIE, 2001. http://dx.doi.org/10.1117/12.417626.

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Ring, Brock P., Daniel K. Atkinson, Andrew W. Henderson, and Evan C. Lemley. "Development of a Low Cost Particle Image Velocimetry System for Fluids Engineering Research and Education." In ASME 2013 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/fedsm2013-16239.

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Particle image velocimetry (PIV) has transformed fluid mechanics research in recent years. PIV also holds the possibility to transform fluids engineering undergraduate education with the ability of students to get hands-on experience in visualization of real flow fields. One barrier to use of PIV is the cost of a system. Research grade systems are often over $100,000 and inaccessible to many undergraduate students. Recent availability of low-cost high-frame-rate digital cameras, lasers, and public domain software offer potential accessibility for PIV for many labs at academic institutions. In this paper we describe the development of a PIV system for under $1000 including specific components and their costs. In our lab this system is currently being used for several liquid flow experiments including obtaining the flow field in and near small bifurcations. Although we are using the system for liquid flows, it may be used for gas flows as well. One issue that is addressed is the cost of flow seeding — this has been solved by using pulverized green algae as seed particles with a strong reflection by a 532 nm green laser. The system is small and portable and is useful for observing flow in locations that are not of direct interest for experiments, but may have a bearing on flow conditions in experimental measurements; such as upstream of test sections. We describe some examples of how we have used the lost-cost PIV system in our lab and how it can be used for fluids engineering education and research. The current research application of this system is performing loss coefficient calculations in a test section using the energy dissipation.
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Huo, Jingwan, Xiu Lin, and Chris Yuan. "Experimental Measurement of Nano-Particle Emissions From Atomic Layer Deposition." In ASME 2012 International Manufacturing Science and Engineering Conference collocated with the 40th North American Manufacturing Research Conference and in participation with the International Conference on Tribology Materials and Processing. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/msec2012-7320.

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Atomic layer deposition (ALD) is a key enabling nanotechnology for a broad array of applications due to its ability to grow conformal and pinhole-free thin films and control layer growth at atomic scale. Like many nanotechnologies, the potential amount of nano-particle emissions from ALD nano-manufacturing system is a significant concern for both occupational and public health exposure. Here we report our preliminary investigations of nano-particle emissions at end-of-the-pipe of ALD nano-manufacturing system. Scanning Mobility Particle Sizer (SMPS) spectrometer is used for the nano-particle measurement during the ALD process of Al2O3 high-k dielectric gate materials using Trimethyl Aluminum (TMA) and H2O binary reactions. Under various experimental conditions tested in our project, the results demonstrate that the aerosol nanoparticle emissions from ALD nano-manufacturing system are averaged with a mean diameter of 201.28 nm and 940,850 particle concentrations at 200 °C reaction temperature.
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Rao, Rekha R., Douglas B. Adolf, and Lisa A. Mondy. "Complex Rheology in Particle-Laden Composite Materials." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45777.

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The rheology of curing composite materials is important to many manufacturing processes. At Sandia, we work with particle-filled epoxy systems for a variety of applications. One particular system, designated as “459,” exhibits complex, counter-intuitive rheological dependence on temperature, flow history and particle-concentration. Despite the particles being relatively large (10 μm), 459 exhibits shear-thinning hysteretic behavior reminiscent of colloidal systems. It is hypothesized that the thixotropy arises from reaction of the 459 curative with the surface of the particulates. Under certain conditions, the addition of filler offsets the effect of epoxy polymerization on the viscosity, resulting in a viscosity that is constant with time. For this reason, we have developed an experimental model system that can be used to separate the effects of particle aggregation from the effects of cure on the viscosity. We have done experiments with this model suspension to determine its time-dependent response in step shear. In addition, we are working on a computational model that can be used to predict the behavior of the aggregating suspension. Preliminary modeling efforts focus on using a generalized Newtonian constitutive equation that relates the viscosity to the local aggregate concentration, defined by a dimensionless structure factor, to capture the time-dependence. Results from this constitutive equation are presented and compared to the experimental data from step-shear experiments in a Couette viscometer. Modeling results are also presented for a transient fiber spinning problem where the free surface evolves as the viscosity develops over time.
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Barringer, M. D., K. A. Thole, D. L. Breneman, K. M. Tham, and V. Laurello. "Effects of Centrifugal Forces on Particle Deposition for a Representative Seal Pin Between Two Blades." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-68777.

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Many land-based gas turbine applications are conducive to the formation of rust in the supply piping and other components that are upstream of the gas turbine. Many of these applications do not incorporate an effective filtration system for removing rust particles from the secondary air systems thereby resulting in rust deposits. Deposits in the small passages significantly block the secondary flow that ultimately reduces component life. This study investigates the effects of rust deposition in a geometry representative of an axial seal pin between two blades. Initial studies were performed to determine the effects of engine-representative particle composition, temperature, and centrifugal acceleration on deposition characteristics. These initial results pointed to the importance of simulating centrifugal forces representative of that experienced in the engine. A new facility was developed to directly measure flow blockages under static conditions and under rotational conditions.
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CHAUDHARY, IRFAN, and PETER L. HAGELSTEIN. "COHERENCE FACTORS IN MANY-PARTICLE THREE-LEVEL SYSTEMS." In Proceedings of the 10th International Conference on Cold Fusion. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701510_0081.

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Reports on the topic "Many-particle system"

1

Polkovnikov, Anatoli. Dynamics and Thermodynamics of Many-particle Cold Atom Systems. Fort Belvoir, VA: Defense Technical Information Center, February 2010. http://dx.doi.org/10.21236/ada565344.

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2

Lee, M. H. Analytical Theory of Continued Fractions and Time Evolution in Many-Particle Systems. Fort Belvoir, VA: Defense Technical Information Center, November 1994. http://dx.doi.org/10.21236/ada290365.

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3

Sviratcheva, K. D., and J. P. Draayer. Realistic Two-body Interactions in Many-nucleon Systems: Correlated Motion beyond Single-particle Behavior. Office of Scientific and Technical Information (OSTI), June 2006. http://dx.doi.org/10.2172/885281.

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