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Journal articles on the topic 'Continuum model'

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Published: 4 June 2021
Last updated: 6 September 2023

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1

Mennucci, Benedetta. "Polarizable continuum model." Wiley Interdisciplinary Reviews: Computational Molecular Science 2, no. 3 (January 17, 2012): 386–404. http://dx.doi.org/10.1002/wcms.1086.

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2

Given, James A., and George Stell. "The continuum Potts model and continuum percolation." Physica A: Statistical Mechanics and its Applications 161, no. 1 (November 1989): 152–80. http://dx.doi.org/10.1016/0378-4371(89)90397-x.

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3

Román, José María, and Joan Soto. "Continuum double-exchange model." Physical Review B 59, no. 17 (May 1, 1999): 11418–23. http://dx.doi.org/10.1103/physrevb.59.11418.

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4

Jin Jie-Hai. "A solar continuum model." Chinese Astronomy and Astrophysics 12, no. 2 (June 1988): 129–35. http://dx.doi.org/10.1016/0275-1062(88)90007-0.

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5

Gromov, L. A., and G. A. Vinogradov. "Continuum model of polydiacetylenes." Synthetic Metals 35, no. 3 (April 1990): 377–81. http://dx.doi.org/10.1016/0379-6779(90)90222-7.

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6

Ikushima, Kazuki, Takahiro Yano, Ryohei Natsume, Masakazu Shibahara, and Mitsuru Ohata. "Study on fracture mode of spot weld joint using continuum damage mechanics model." QUARTERLY JOURNAL OF THE JAPAN WELDING SOCIETY 35, no. 2 (2017): 28s—32s. http://dx.doi.org/10.2207/qjjws.35.28s.

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7

Xu, Kun, Hongwei Liu, and Jianzheng Jiang. "Multiple-temperature kinetic model for continuum and near continuum flows." Physics of Fluids 19, no. 1 (January 2007): 016101. http://dx.doi.org/10.1063/1.2429037.

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8

Singh, Narendra, and Thomas Schwartzentruber. "Consistent kinetic-continuum dissociation model. II. Continuum formulation and verification." Journal of Chemical Physics 152, no. 22 (June 14, 2020): 224303. http://dx.doi.org/10.1063/1.5142754.

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9

WU ZI-YU and WANG KE-LIN. "EXACT CONTINUUM MODEL FOR POLYACETYLENE." Acta Physica Sinica 35, no. 7 (1986): 931. http://dx.doi.org/10.7498/aps.35.931.

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10

Sannikova, Olha. "Continuum-hierarchical model of personality." PSIHOLOGÌÂ Ì SUSPÌLʹSTVO 73-74, no. 3-4 (September 1, 2018): 166–77. http://dx.doi.org/10.35774/pis2018.03.166.

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11

Penrose, Mathew D. "On a continuum percolation model." Advances in Applied Probability 23, no. 3 (September 1991): 536–56. http://dx.doi.org/10.2307/1427621.

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Consider particles placed in space by a Poisson process. Pairs of particles are bonded together, independently of other pairs, with a probability that depends on their separation, leading to the formation of clusters of particles. We prove the existence of a non-trivial critical intensity at which percolation occurs (that is, an infinite cluster forms). We then prove the continuity of the cluster density, or free energy. Also, we derive a formula for the probability that an arbitrary Poisson particle lies in a cluster consisting ofkparticles (or equivalently, a formula for the density of such clusters), and show that at high Poisson intensity, the probability that an arbitrary Poisson particle is isolated, given that it lies in a finite cluster, approaches 1.
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12

GODCHAUX, CHARLOTTE W., JILL TRAVIOLI, and LEWIS A. HUGHES. "A Continuum of Care Model." Nursing Management (Springhouse) 28, no. 11 (November 1997): 73. http://dx.doi.org/10.1097/00006247-199711010-00015.

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13

Mansfield, Marc L. "A continuum gambler's ruin model." Macromolecules 21, no. 1 (January 1988): 126–30. http://dx.doi.org/10.1021/ma00179a026.

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14

Liboff, Richard L. "The continuum model in astrophysics." Astrophysical Journal 390 (May 1992): 1. http://dx.doi.org/10.1086/171253.

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15

Penrose, Mathew D. "On a continuum percolation model." Advances in Applied Probability 23, no. 03 (September 1991): 536–56. http://dx.doi.org/10.1017/s0001867800023727.

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Consider particles placed in space by a Poisson process. Pairs of particles are bonded together, independently of other pairs, with a probability that depends on their separation, leading to the formation of clusters of particles. We prove the existence of a non-trivial critical intensity at which percolation occurs (that is, an infinite cluster forms). We then prove the continuity of the cluster density, or free energy. Also, we derive a formula for the probability that an arbitrary Poisson particle lies in a cluster consisting of k particles (or equivalently, a formula for the density of such clusters), and show that at high Poisson intensity, the probability that an arbitrary Poisson particle is isolated, given that it lies in a finite cluster, approaches 1.
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16

Caravenna, Francesco, Rongfeng Sun, and Nikos Zygouras. "The continuum disordered pinning model." Probability Theory and Related Fields 164, no. 1-2 (December 17, 2014): 17–59. http://dx.doi.org/10.1007/s00440-014-0606-4.

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17

Giacometti, Achille, Amos Maritan, and Jayanth R. Banavar. "Continuum Model for River Networks." Physical Review Letters 75, no. 3 (July 17, 1995): 577–80. http://dx.doi.org/10.1103/physrevlett.75.577.

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18

Ghiba, Ionel-Dumitrel, Patrizio Neff, and Angela Madeo. "The relaxed micromorphic continuum model." PAMM 14, no. 1 (December 2014): 733–34. http://dx.doi.org/10.1002/pamm.201410349.

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19

Trunev, A. P., and V. M. Fomin. "Continuum model of impact erosion." Journal of Applied Mechanics and Technical Physics 26, no. 6 (1986): 860–66. http://dx.doi.org/10.1007/bf00919537.

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20

Belytschko, Ted, and S. P. Xiao. "Coupling Methods for Continuum Model with Molecular Model." International Journal for Multiscale Computational Engineering 1, no. 1 (2003): 12. http://dx.doi.org/10.1615/intjmultcompeng.v1.i1.100.

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21

Fan, Kang-Qi, Jian-Yuan Jia, Ying-Min Zhu, and Xiu-Yan Zhang. "Adhesive contact: from atomistic model to continuum model." Chinese Physics B 20, no. 4 (April 2011): 043401. http://dx.doi.org/10.1088/1674-1056/20/4/043401.

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22

Seleson, Pablo, Michael L. Parks, and Max Gunzburger. "Peridynamic State-Based Models and the Embedded-Atom Model." Communications in Computational Physics 15, no. 1 (January 2014): 179–205. http://dx.doi.org/10.4208/cicp.081211.300413a.

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AbstractWe investigate connections between nonlocal continuum models and molecular dynamics. A continuous upscaling of molecular dynamics models of the form of the embedded-atom model is presented, providing means for simulating molecular dynamics systems at greatly reduced cost. Results are presented for structured and structureless material models, supported by computational experiments. The nonlocal continuum models are shown to be instances of the state-based peridynamics theory. Connections relating multibody peridynamic models and upscaled nonlocal continuum models are derived.
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23

Zhang, Yicai, Min Zhao, Dihua Sun, and Chen Dong. "An extended continuum mixed traffic model." Nonlinear Dynamics 103, no. 2 (January 2021): 1891–909. http://dx.doi.org/10.1007/s11071-021-06201-z.

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24

Donnelly, John P. "A Continuum Model of Personality Disorder." Psychological Reports 83, no. 2 (October 1998): 387–91. http://dx.doi.org/10.2466/pr0.1998.83.2.387.

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Certain types of personality may show predisposition to mental illness, and it has been proposed that most categories of personality disorder could be relegated to the neuroses and psychoses. A continuum model of personality disorder is outlined and tested with a psychiatric sample of 10 inpatients and 10 outpatients ages 19 to 63 years, using the Personality Assessment Schedule. Both the prevalence and severity of personality disorders appear to support a continuum model of personality.
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25

Skern-Mauritzen, Rasmus, and Thomas Nygaard Mikkelsen. "The information continuum model of evolution." Biosystems 209 (November 2021): 104510. http://dx.doi.org/10.1016/j.biosystems.2021.104510.

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26

Quintanilla, J., and S. Torquato. "Clustering in a Continuum Percolation Model." Advances in Applied Probability 29, no. 2 (June 1997): 327–36. http://dx.doi.org/10.2307/1428005.

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We study properties of the clusters of a system of fully penetrable balls, a model formed by centering equal-sized balls on the points of a Poisson process. We develop a formal expression for the density of connected clusters ofkballs (calledk-mers) in the system, first rigorously derived by Penrose [15]. Our integral expressions are free of inherent redundancies, making them more tractable for numerical evaluation. We also derive and evaluate an integral expression for the average volume ofk-mers.
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27

Smart, Jason L., and J. Andrew McCammon. "Surface Titration: A Continuum Electrostatics Model." Journal of the American Chemical Society 118, no. 9 (January 1996): 2283–84. http://dx.doi.org/10.1021/ja953878c.

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28

Yanuka, M., and I. Balberg. "Invasion percolation in a continuum model." Journal of Physics A: Mathematical and General 24, no. 11 (June 7, 1991): 2565–68. http://dx.doi.org/10.1088/0305-4470/24/11/022.

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29

Berger, Alice H., Alfred G. Knudson, and Pier Paolo Pandolfi. "A continuum model for tumour suppression." Nature 476, no. 7359 (August 2011): 163–69. http://dx.doi.org/10.1038/nature10275.

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30

Wagner, C., C. Hoffmann, R. Sollacher, J. Wagenhuber, and B. Schürmann. "Second-order continuum traffic flow model." Physical Review E 54, no. 5 (November 1, 1996): 5073–85. http://dx.doi.org/10.1103/physreve.54.5073.

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31

Kobayashi, Ryo, James A. Warren, and W. Craig Carter. "A continuum model of grain boundaries." Physica D: Nonlinear Phenomena 140, no. 1-2 (June 2000): 141–50. http://dx.doi.org/10.1016/s0167-2789(00)00023-3.

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32

Wilson, J. F., U. Mahajan, S. A. Wainwright, and L. J. Croner. "A Continuum Model of Elephant Trunks." Journal of Biomechanical Engineering 113, no. 1 (February 1, 1991): 79–84. http://dx.doi.org/10.1115/1.2894088.

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A continuum model is presented that relates the trunk parameters of loading, geometry, and muscle structure to the necessary conditions of static equilibrium. Linear theory for stress-strain behavior is used to describe an elephant trunk for an incremental displacement as the animal slowly lifts a weight at the trunk tip. With this analysis and experimental values for the trunk parameters, the apparent trunk stiffness Ea is estimated for the living animal. For an Asian elephant with a maximum compression strain of 33 percent, Ea is of the order of 106 N/m2. The continuum model is quite general and may be applied to similar nonskeletal appendages and bodies of other animals.
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33

Batchelor, M. T., B. I. Henry, and S. D. Watt. "Continuum model for radial interface growth." Physica A: Statistical Mechanics and its Applications 260, no. 1-2 (November 1998): 11–19. http://dx.doi.org/10.1016/s0378-4371(98)00326-4.

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34

Maier, W. "A continuum model for major psychoses." Biological Psychiatry 42, no. 1 (July 1997): 294S. http://dx.doi.org/10.1016/s0006-3223(97)88114-0.

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35

BLOM, J. G., and M. A. PELETIER. "A continuum model of lipid bilayers." European Journal of Applied Mathematics 15, no. 4 (August 2004): 487–508. http://dx.doi.org/10.1017/s0956792504005613.

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We study a one-dimensional continuum model for lipid bilayers. The system consists of water and lipid molecules; lipid molecules are represented by two ‘beads’, a head bead and a tail bead, connected by a rigid rod. We derive a simplified model for such a system, in which we only take into account the effects of entropy and hydrophilic/hydrophobic interactions. We show that for this simple model membrane-like structures exist for certain choices of the parameters, and numerical calculations suggest that they are stable.
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36

LEE, M. E. M., and H. OCKENDON. "A continuum model for entangled fibres." European Journal of Applied Mathematics 16, no. 2 (May 23, 2005): 145–60. http://dx.doi.org/10.1017/s0956792505006170.

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37

Quintanilla, J., and S. Torquato. "Clustering in a Continuum Percolation Model." Advances in Applied Probability 29, no. 02 (June 1997): 327–36. http://dx.doi.org/10.1017/s0001867800028019.

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We study properties of the clusters of a system of fully penetrable balls, a model formed by centering equal-sized balls on the points of a Poisson process. We develop a formal expression for the density of connected clusters of k balls (called k-mers) in the system, first rigorously derived by Penrose [15]. Our integral expressions are free of inherent redundancies, making them more tractable for numerical evaluation. We also derive and evaluate an integral expression for the average volume of k-mers.
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38

Elbourne, Kathryn E., and Jack Chen. "The continuum model of obligatory exercise." Journal of Psychosomatic Research 62, no. 1 (January 2007): 73–80. http://dx.doi.org/10.1016/j.jpsychores.2004.12.003.

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39

BIELENBERG, JAMES R., and HOWARD BRENNER. "A continuum model of thermal transpiration." Journal of Fluid Mechanics 546, no. -1 (December 21, 2005): 1. http://dx.doi.org/10.1017/s0022112005006920.

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40

Ge, H. X., and X. L. Han. "Density viscous continuum traffic flow model." Physica A: Statistical Mechanics and its Applications 371, no. 2 (November 2006): 667–73. http://dx.doi.org/10.1016/j.physa.2006.03.034.

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41

Radin, Charles. "Crystals and quasicrystals: A continuum model." Communications in Mathematical Physics 105, no. 3 (September 1986): 385–90. http://dx.doi.org/10.1007/bf01205933.

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42

Davini, Cesare. "A Continuum Model for Fluid Foams." Journal of Elasticity 101, no. 1 (March 26, 2010): 77–99. http://dx.doi.org/10.1007/s10659-010-9252-y.

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43

Drapaca, C. S., and S. Sivaloganathan. "A Fractional Model of Continuum Mechanics." Journal of Elasticity 107, no. 2 (June 2, 2011): 105–23. http://dx.doi.org/10.1007/s10659-011-9346-1.

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44

Romeo, Maurizio. "Micromorphic continuum model for electromagnetoelastic solids." Zeitschrift für angewandte Mathematik und Physik 62, no. 3 (February 22, 2011): 513–27. http://dx.doi.org/10.1007/s00033-011-0121-8.

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45

DONNELLY, JOHN P. "A CONTINUUM MODEL OF PERSONALITY DISORDER." Psychological Reports 83, no. 6 (1998): 387. http://dx.doi.org/10.2466/pr0.83.6.387-391.

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46

Köpf, Michael H., and Len M. Pismen. "A continuum model of epithelial spreading." Soft Matter 9, no. 14 (2013): 3727. http://dx.doi.org/10.1039/c3sm26955h.

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47

Gammel, J. Tinka. "Finite-band continuum model of polyacetylene." Physical Review B 33, no. 8 (April 15, 1986): 5974–75. http://dx.doi.org/10.1103/physrevb.33.5974.

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48

Shapiro, Jacob, and Michael I. Weinstein. "Is the continuum SSH model topological?" Journal of Mathematical Physics 63, no. 11 (November 1, 2022): 111901. http://dx.doi.org/10.1063/5.0064037.

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The discrete Hamiltonian of Su, Schrieffer, and Heeger (SSH) [Phys. Rev. Lett. 42, 1698–1701 (1979)] is a well-known one-dimensional translation-invariant model in condensed matter physics. The model consists of two atoms per unit cell and describes in-cell and out-of-cell electron-hopping between two sub-lattices. It is among the simplest models exhibiting a non-trivial topological phase; to the SSH Hamiltonian, one can associate a winding number, the Zak phase, which depends on the ratio of hopping coefficients and takes on values 0 and 1 labeling the two distinct phases. We display two homotopically equivalent continuum Hamiltonians whose tight binding limits are SSH models with different topological indices. The topological character of the SSH model is, therefore, an emergent rather than fundamental property, associated with emergent chiral or sublattice symmetry in the tight-binding limit. In order to establish that the tight-binding limit of these continuum Hamiltonians is the SSH model, we extend our recent results on the tight-binding approximation [J. Shapiro and M. I. Weinstein, Adv. Math. 403, 108343 (2022)] to lattices, which depend on the tight-binding asymptotic parameter λ.
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49

Belov, P. A., and S. A. Lurie. "A continuum model of microheterogeneous media." Journal of Applied Mathematics and Mechanics 73, no. 5 (January 2009): 599–608. http://dx.doi.org/10.1016/j.jappmathmech.2009.11.013.

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50

Blumel, R., and R. Meir. "Effect of continuum-continuum interaction on the ionisation rate of a model atom." Journal of Physics B: Atomic and Molecular Physics 18, no. 14 (July 28, 1985): 2835–41. http://dx.doi.org/10.1088/0022-3700/18/14/008.

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