Relevant bibliographies by topics / Vicsek-like models

Academic literature on the topic 'Vicsek-like models'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Vicsek-like models"

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Anitas, Eugen Mircea, Giorgia Marcelli, Zsolt Szakacs, Radu Todoran, and Daniela Todoran. "Structural Properties of Vicsek-like Deterministic Multifractals." Symmetry 11, no. 6 (June 18, 2019): 806. http://dx.doi.org/10.3390/sym11060806.

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Deterministic nano-fractal structures have recently emerged, displaying huge potential for the fabrication of complex materials with predefined physical properties and functionalities. Exploiting the structural properties of fractals, such as symmetry and self-similarity, could greatly extend the applicability of such materials. Analyses of small-angle scattering (SAS) curves from deterministic fractal models with a single scaling factor have allowed the obtaining of valuable fractal properties but they are insufficient to describe non-uniform structures with rich scaling properties such as fractals with multiple scaling factors. To extract additional information about this class of fractal structures we performed an analysis of multifractal spectra and SAS intensity of a representative fractal model with two scaling factors—termed Vicsek-like fractal. We observed that the box-counting fractal dimension in multifractal spectra coincide with the scattering exponent of SAS curves in mass-fractal regions. Our analyses further revealed transitions from heterogeneous to homogeneous structures accompanied by changes from short to long-range mass-fractal regions. These transitions are explained in terms of the relative values of the scaling factors.
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Peshkov, A., E. Bertin, F. Ginelli, and H. Chaté. "Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models." European Physical Journal Special Topics 223, no. 7 (June 2014): 1315–44. http://dx.doi.org/10.1140/epjst/e2014-02193-y.

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Clusella, Pau, and Romualdo Pastor-Satorras. "Phase transitions on a class of generalized Vicsek-like models of collective motion." Chaos: An Interdisciplinary Journal of Nonlinear Science 31, no. 4 (April 2021): 043116. http://dx.doi.org/10.1063/5.0046926.

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BOSTAN, MIHAI, and JOSE ANTONIO CARRILLO. "ASYMPTOTIC FIXED-SPEED REDUCED DYNAMICS FOR KINETIC EQUATIONS IN SWARMING." Mathematical Models and Methods in Applied Sciences 23, no. 13 (September 16, 2013): 2353–93. http://dx.doi.org/10.1142/s0218202513500346.

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We perform an asymptotic analysis of general particle systems arising in collective behavior in the limit of large self-propulsion and friction forces. These asymptotics impose a fixed speed in the limit, and thus a reduction of the dynamics to a sphere in the velocity variables. The limit models are obtained by averaging with respect to the fast dynamics. We can include all typical effects in the applications: short-range repulsion, long-range attraction, and alignment. For instance, we can rigorously show that the Cucker–Smale model is reduced to a Vicsek-like model without noise in this asymptotic limit. Finally, a formal expansion based on the reduced dynamics allows us to treat the case of diffusion reducing the Cucker–Smale model with diffusion to the non-normalized Vicsek model as in Ref. 29. This technique follows closely the gyroaverage method used when studying the magnetic confinement of charged particles. The main new mathematical difficulty is to deal with measure solutions in this expansion procedure.
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Ihle, T. "Discussion on Peshkov et al., “Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models”." European Physical Journal Special Topics 223, no. 7 (June 2014): 1427–29. http://dx.doi.org/10.1140/epjst/e2014-02204-1.

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Baglietto, Gabriel, Ezequiel V. Albano, and Julián Candia. "Criticality and the onset of ordering in the standard Vicsek model." Interface Focus 2, no. 6 (July 4, 2012): 708–14. http://dx.doi.org/10.1098/rsfs.2012.0021.

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Experimental observations of animal collective behaviour have shown stunning evidence for the emergence of large-scale cooperative phenomena resembling phase transitions in physical systems. Indeed, quantitative studies have found scale-free correlations and critical behaviour consistent with the occurrence of continuous, second-order phase transitions. The standard Vicsek model (SVM), a minimal model of self-propelled particles in which their tendency to align with each other competes with perturbations controlled by a noise term, appears to capture the essential ingredients of critical flocking phenomena. In this paper, we review recent finite-size scaling and dynamical studies of the SVM, which present a full characterization of the continuous phase transition through dynamical and critical exponents. We also present a complex network analysis of SVM flocks and discuss the onset of ordering in connection with XY-like spin models.
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Li, Xu, Tingting Xue, Yu Sun, Jingfang Fan, Hui Li, Maoxin Liu, Zhangang Han, Zengru Di, and Xiaosong Chen. "Discontinuous and continuous transitions of collective behaviors in living systems*." Chinese Physics B 30, no. 12 (December 1, 2021): 128703. http://dx.doi.org/10.1088/1674-1056/ac3c3f.

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Living systems are full of astonishing diversity and complexity of life. Despite differences in the length scales and cognitive abilities of these systems, collective motion of large groups of individuals can emerge. It is of great importance to seek for the fundamental principles of collective motion, such as phase transitions and their natures. Via an eigen microstate approach, we have found a discontinuous transition of density and a continuous transition of velocity in the Vicsek models of collective motion, which are identified by the finite-size scaling form of order-parameter. At strong noise, living systems behave like gas. With the decrease of noise, the interactions between the particles of a living system become stronger and make them come closer. The living system experiences then a discontinuous gas–liquid like transition of density. The even stronger interactions at smaller noise make the velocity directions of the particles become ordered and there is a continuous phase transition of collective motion in addition.
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Chakraborti, Subhadip, and Punyabrata Pradhan. "Additivity and density fluctuations in Vicsek-like models of self-propelled particles." Physical Review E 99, no. 5 (May 13, 2019). http://dx.doi.org/10.1103/physreve.99.052604.

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9

Costanzo, Andrea, E. van Haeringen, and C. K. Hemelrijk. "Effect of time-delayed interactions on milling: a minimal model." Europhysics Letters, March 17, 2022. http://dx.doi.org/10.1209/0295-5075/ac5ed1.

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Abstract Models of collective motion show a rich variety of patterns. One of these is milling, in which the individuals of a group are circling around a common center. Milling has been generated in a Vicsek-like model of collective motion, i.e. a minimal model where individuals coordinate their headings only via alignment with close neighbors, without being attracted to each other and without avoiding collisions. However, in this model information propagates instantaneously among neighbors, whereas in nature transfer and processing of information need time. How this delay affects patterns of collective motion, particularly milling, is unknown. Here we investigate the effect of time-delayed interactions on the emergence of milling in a Vicsek-like model. We show that delays may either destroy milling or induce it, depending on the parameters of the system. The range of speeds and fields of view of individuals at which milling occurs is shifted to smaller values if there are time-delays in the model. The presented findings may help to understand what causes milling in nature.
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Book chapters on the topic "Vicsek-like models"

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Satz, Helmut. "The Rules of the Flock." In The Rules of the Flock, 34–41. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198853398.003.0006.

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Following the seminal work of T. Vicsek et al. (Budapest), mathematical models are formulated, based on next neighbor interactions (alignment of flight direction) leading to global correlations. Computer simulations of these models lead to behavior patterns very much like those observed in empirical studies of bird flocks. In particular, a transition from random motion to flock behavior is observed for sufficiently precise flight alignment, corresponding to sufficiently low temperature in spin systems.
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