Tails and Ties

Carbone, Anna Filomena; Kaniadakis, Giorgio; Scarfone, Antonio Maria

doi:10.1140/epjb/e2007-00166-7

Cited by 17 publications

(8 citation statements)

References 187 publications

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“…For example, instead of a semi-infinite solid as assumed above one may be interested in a thin viscoelastic film on a hard flat substrate. In this case, (assuming slip-boundary conditions) the M (q, ω)-function which enter in (6a) is determined by [8,20]…”

Section: Theorymentioning

confidence: 99%

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Rolling friction for hard cylinder and sphere on viscoelastic solid

Persson

2010

Eur. Phys. J. E

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We calculate the friction force acting on a hard cylinder or spherical ball rolling on a flat surface of a viscoelastic solid. The rolling-friction coefficient depends non-linearly on the normal load and the rolling velocity. For a cylinder rolling on a viscoelastic solid characterized by a single relaxation time Hunter has obtained an exact result for the rolling friction, and our result is in very good agreement with his result for this limiting case. The theoretical results are also in good agreement with experiments of Greenwood and Tabor. We suggest that measurements of rolling friction over a wide range of rolling velocities and temperatures may constitute a useful way to determine the viscoelastic modulus of rubber-like materials.

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Section: Theorymentioning

confidence: 99%

“…Rubber friction is a topic of huge practical importance, e.g., for tires, rubber seals, wiper blades, conveyor belts and syringes [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Many experiments have been performed with a hard spherical ball rolling on a flat rubber substrate [15,17,18].…”

Section: Introductionmentioning

confidence: 99%

Rolling friction for hard cylinder and sphere on viscoelastic solid

Persson

2010

Eur. Phys. J. E

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“…Rubber friction is a topic of huge practical importance, e.g., for tires, rubber seals, conveyor belts and syringes [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. In most theoretical studies rubber friction is described using very simple phenomenological models, e.g., the Coulombs friction law with a friction coefficient which may depend on the local sliding velocity.…”

Section: Introductionmentioning

confidence: 99%

Rubber friction and tire dynamics

Persson

2010

J. Phys.: Condens. Matter

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We propose a simple rubber friction law, which can be used, e.g., in models of tire (and vehicle) dynamics. The friction law is tested by comparing numerical results to the full rubber friction theory (B.N.J. Persson, J. Phys.: Condensed Matter 18, 7789 (2006)). Good agreement is found between the two theories.We describe a two-dimensional (2D) tire model which combines the rubber friction model with a simple mass-spring description of the tire body. The tire model is very flexible and can be used to calculate accurate µ-slip (and the self-aligning torque) curves for braking and cornering or combined motion (e.g., braking during cornering). We present numerical results which illustrate the theory. Simulations of Anti-Blocking System (ABS) braking are performed using two simple control algorithms.

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“…A network consists of several nodes and links that connect nodes. In the literature on the physics of socioeconomic systems [3], nodes are assumed to represent agents, goods, and computers, while links express the relationships between nodes [4,5]. Network structure is perceived in many cases through the conveyance of information, knowledge, and energy, among others.…”

Section: Introductionmentioning

confidence: 99%

Inference of Extreme Synchrony with an Entropy Measure on a Bipartite Network

Sato

2017

2017 IEEE 41st Annual Computer Software and Applications Conference (COMPSAC)

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This article proposes a method to quantify the structure of a bipartite graph using a network entropy per link. The network entropy of a bipartite graph with random links is calculated both numerically and theoretically. As an application of the proposed method to analyze collective behavior, the affairs in which participants quote and trade in the foreign exchange market are quantified. The network entropy per link is found to correspond to the macroeconomic situation. A finite mixture of Gumbel distributions is used to fit the empirical distribution for the minimum values of network entropy per link in each week. The mixture of Gumbel distributions with parameter estimates by segmentation procedure is verified by the Kolmogorov-Smirnov test. The finite mixture of Gumbel distributions that extrapolate the empirical probability of extreme events has explanatory power at a statistically significant level.

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Tails and Ties

Cited by 17 publications

References 187 publications

Rolling friction for hard cylinder and sphere on viscoelastic solid

Rolling friction for hard cylinder and sphere on viscoelastic solid

Rubber friction and tire dynamics

Inference of Extreme Synchrony with an Entropy Measure on a Bipartite Network

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