Based on recent work [B. Lindner and E. M., Nicola, Phys. Rev. Lett. 101 (2008) 190603], the transport of N globally coupled Brownian motors with diversity is investigated. By applying the mean-field approximation, the effects of the diversity disturbance and the coupling strength on the...

A stochastic system with coupling between non-Gaussian and Gaussian noise terms is investigated. A general approximate Fokker–Planck equation of the system is derived through a path-integral approach. For a bistable system, the coupling λ between noise terms can induce the reentrance-like...

The phenomena of diversity-induced resonance in a coupled bistable system are investigated numerically and analytically when two different characteristic time delays are considered, i.e., the feedback time delay and the coupling time delay. By applying the mean-field approximation, the...

The transport of the coupled Brownian ratchets with two different kinds of time delays is investigated. The increase of the feedback delay reduces the transport with oscillations. While increasing the coupling delay increases the transport with some irregular oscillations and finally saturates...

The problem of finding the most efficient way to pack spheres has an illustrious history, dating back to the crystalline arrays conjectured by Kepler and the random geometries explored by Bernal in the 1960s. This problem finds applications spanning from the mathematician’s pencil, the...

We study the joint probability distribution of normal and tangential frictional forces in jammed granular media, Pμ(ft,fn), for various values of the friction coefficient μ, especially when μ=∞. A universal scaling law is found to collapse the data for μ=0 to ∞, demonstrating a link...

The nature of randomness in disordered packings of frictional and frictionless spheres is investigated using theory and simulations of identical spherical grains. The entropy of the packings is defined through the force and volume ensemble of jammed matter and this is shown to be difficult to...

We introduce a “Hamiltonian”-like function, called the volume function, indispensable to describe the ensemble of jammed matter such as granular materials and emulsions from a geometrical point of view. The volume function represents the available volume of each particle in the jammed...