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Slow dynamics under gravity: a nonlinear diffusion model

Arenzon, Jeferson J.; Levin, Yan; Sellitto, Mauro - In: Physica A: Statistical Mechanics and its Applications 325 (2003) 3, pp. 371-395

We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of densely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo simulations of a lattice gas under gravity. The dynamical...

Persistent link: https://www.econbiz.de/10011064105

A first-order phase transition defines the random close packing of hard spheres

Jin, Yuliang; Makse, Hernán A. - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 23, pp. 5362-5379

Randomly packing spheres of equal size into a container consistently results in a static configuration with a density of ∼64%. The ubiquity of random close packing (RCP) rather than the optimal crystalline array at 74% begs the question of the physical law behind this empirically deduced...

Persistent link: https://www.econbiz.de/10011064575

Stability of phase transitions in polymers with bistable unit cells

Shikhovtseva, E.S. - In: Physica A: Statistical Mechanics and its Applications 303 (2002) 1, pp. 133-143

Soliton-like switching regimes are investigated for chains of bistable unit cells with energy non-degenerate ground … states. It is shown that there is a set of equilibrium soliton velocities in the chains of bistable units with complicated … internal structure. There are two essentially different regions of soliton initial velocities, so that the low external …

Persistent link: https://www.econbiz.de/10010873929

Dromions in (2+1) dimensional ferromagnetic spin chain with bilinear and biquadratic interactions

Anitha, T.; Latha, M.M.; Vasanthi, C. Christal - In: Physica A: Statistical Mechanics and its Applications 415 (2014) C, pp. 105-115

We study the dynamics of (2+1) dimensional ferromagnetic spin chain with bilinear and biquadratic interactions by using Holstein–Primakoff (HP) representation and the coherent state ansatz. The dynamical equations of motion are obtained by using long wavelength approximation. The sine–cosine...

Persistent link: https://www.econbiz.de/10010939931

Soliton with non-constant velocity

Zenchuk, Alexandre I. - In: Mathematics and Computers in Simulation (MATCOM) 62 (2003) 1, pp. 191-201

soliton-like solutions whose velocity depends on the space coordinate. Analogy of zero-curvature representation is discussed …

Persistent link: https://www.econbiz.de/10010749627

Elastic axonemal model: Solitary wave shapes

Ludu, A.; Cibert, C. - In: Mathematics and Computers in Simulation (MATCOM) 80 (2009) 1, pp. 223-230

We introduce an elastic beam Bernoulli–Euler model for the axoneme (cytoskeletal inner core of eukaryotic cells appendages) whose dynamics is controlled by internally generated torques at the inflexion points of the beam. We calculate the geometrical and the mechanical parameters of the...

Persistent link: https://www.econbiz.de/10010749875

Internally generated nonlinear waves in filament bundles

Ludu, A.; Hutchings, N. - In: Mathematics and Computers in Simulation (MATCOM) 74 (2007) 2, pp. 179-189

We develop a geometrical approach for the relative sliding (shear) between filaments in a bundle subjected to bending and twisting deformations, with applications to motility in flagellated cells. Particular examples for helical and toroidal shapes, and combinations of these, are discussed. The...

Persistent link: https://www.econbiz.de/10010870245

Statics and dynamics of nonlinear systems : proceedings of a workshop at the Ettore Majorana Centre, Erice, Italy, 1. - 11. July, 1983

Benedek, Giorgio (contributor) - 1983

Persistent link: https://www.econbiz.de/10004703121

Social Structures and Chaos Theory

Smith, Greg - In: Sociological Research Online 3 (1998) 1, pp. 11-11

Up to this point many of the social- scientific discussions of the impact of Chaos theory have dealt with using chaos concepts to refine matters of prediction and control. Chaos theory, however, has far more fundamental consequences which must also be considered. The identification of chaotic...

Persistent link: https://www.econbiz.de/10005767105

A third order numerical scheme for the two-dimensional sine-Gordon equation

Bratsos, A.G. - In: Mathematics and Computers in Simulation (MATCOM) 76 (2007) 4, pp. 271-282

A rational approximant of third order, which is applied to a three-time level recurrence relation, is used to transform the two-dimensional sine-Gordon (SG) equation into a second-order initial-value problem. The resulting nonlinear finite-difference scheme, which is analyzed for stability, is...

Persistent link: https://www.econbiz.de/10010748680