scholarly journals Noise and diffusion of a vibrated self-propelled granular particle

Soft Matter ◽  
2017 ◽  
Vol 13 (47) ◽  
pp. 8964-8968 ◽  
Author(s):  
Lee Walsh ◽  
Caleb G. Wagner ◽  
Sarah Schlossberg ◽  
Christopher Olson ◽  
Aparna Baskaran ◽  
...  

The relation between noise, mobility, and long-term motion of individual vibrated granular particles is well described by the active Brownian particle model.

Soft Matter ◽  
2018 ◽  
Vol 14 (18) ◽  
pp. 3581-3589 ◽  
Author(s):  
Eric W. Burkholder ◽  
John F. Brady

We generalize the active Brownian particle model to account for hydrodynamic interactions.


2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Debarati Sarkar ◽  
Gerhard Gompper ◽  
Jens Elgeti

AbstractThe motion of cells in tissues is an ubiquitous phenomenon. In particular, in monolayered cell colonies in vitro, pronounced collective behavior with swirl-like motion has been observed deep within a cell colony, while at the same time, the colony remains cohesive, with not a single cell escaping at the edge. Thus, the colony displays liquid-like properties inside, in coexistence with a cell-free “vacuum” outside. We propose an active Brownian particle model with attraction, in which the interaction potential has a broad minimum to give particles enough wiggling space to be collectively in the fluid state. We demonstrate that for moderate propulsion, this model can generate the fluid-vacuum coexistence described above. In addition, the combination of the fluid nature of the colony with cohesion leads to preferred orientation of the cell polarity, pointing outward, at the edge, which in turn gives rise to a tensile stress in the colony—as observed experimentally for epithelial sheets. For stronger propulsion, collective detachment of cell clusters is predicted. Further addition of an alignment preference of cell polarity and velocity direction results in enhanced coordinated, swirl-like motion, increased tensile stress and cell-cluster detachment.


Author(s):  
Yuhui Luo ◽  
Chunhua Zeng ◽  
Baowen Li

Abstract We numerically investigate the resonance of the underdamped scaled Brownian motion in a bistable system for both cases of a single particle and interacting particles. Through the velocity autocorrelation function (VACF) and mean squared displacement (MSD) of a single particle, we find that for the steady state, diffusions are ballistic at short times and then become normal for most of parameter regimes. However, for certain parameter regimes, both VACF and MSD suggest that the transition between superdiffusion and subdiffusion takes place at intermediate times, and diffusion becomes normal at long times. Via the power spectrum density corresponding to the transitions, we find that there exists a nontrivial resonance. For interacting particles, we find that the interaction between the probe particle and other particles can lead to the resonance, too. Thus we theoretically propose the system with the Brownian particle as a probe, which can detect the temperature of the system and identify the number of the particles or the types of different coupling strengths in the system. The probe is potentially useful for detecting microscopic and nanometer-scale particles and for identifying cancer cells or healthy ones.


2013 ◽  
Vol 392 (19) ◽  
pp. 4210-4215 ◽  
Author(s):  
Wei Guo ◽  
Can-Jun Wang ◽  
Lu-Chun Du ◽  
Dong-Cheng Mei

2007 ◽  
Vol 2 (3) ◽  
Author(s):  
Rajendra Kumar ◽  
Michael L Best

In a study of social diffusion of telecenter use in rural south India, we find that these centers are being used only by a relatively small proportion of the village households despite their having been in operation for well over a year. Based on a survey of the telecenter users, we find that these users are, in general, young, male, school or college students, relatively more educated, belong to relatively higher income households, and come from socially and economically advanced communities. Thus the telecenters may sustain existing socioeconomic inequalities within these communities. However, we find some significant exceptions. We find that location of telecenters close to the residential localities where socially and economically backward communities live and presence of local champions within those communities are associated with attracting more users from those communities. We also find that providing localized content and services and making these services more affordable are other important factors in increasing usage and diffusion. We posit that incorporating these factors in the planning, spatial location, and operation of the telecenters can significantly improve their social diffusion and improve their long-term financial and social sustainability.


2014 ◽  
Vol 584-586 ◽  
pp. 1818-1822
Author(s):  
Ming Qiang Qin ◽  
Wen Zhan ◽  
Wen Bing Xu ◽  
Jin Hui Li

The effect of stone powder content on the chloride diffusion coefficient and diffusion attenuation coefficient of chloride ion of mechanical sand (MS) concrete was studied. The results showed that the resistance to chloride ion permeability of MS concrete firstly increased and then decreased with the increase of the content of stone powder. The anti-permeability of the concrete which had moderate amount of stone powder was better than that of the natural river sand (NS) concrete. The diffusion attenuation coefficient of MS concrete was greater than that of the NS concrete, which was good for long-term durability of concrete structure.


2021 ◽  
pp. 1-8
Author(s):  
Ashley L. B. Raghu ◽  
Sean C. Martin ◽  
Tariq Parker ◽  
Tipu Z. Aziz ◽  
Alexander L. Green

OBJECTIVE The anatomy of the posterolateral thalamus varies substantially between individuals, presenting a challenge for surgical targeting. Patient-specific, connectivity-based parcellation of the thalamus may effectively approximate the ventrocaudal nucleus (Vc). This remains to be robustly validated or assessed as a method to guide surgical targeting. The authors assessed the validity of connectivity-based parcellation for targeting the Vc and its potential for improving clinical outcomes of pain surgery. METHODS A cohort of 19 patients with regional, chronic neuropathic pain underwent preoperative structural and diffusion MRI, then progressed to deep brain stimulation targeting the Vc based on traditional atlas coordinates. Surgical thalami were retrospectively segmented and then parcellated based on tractography estimates of thalamocortical connectivity. The location of each patient’s electrode array was analyzed with respect to their primary somatosensory cortex (S1) parcel and compared across patients with reference to the thalamic homunculus. RESULTS Ten patients achieved long-term pain relief. Sixty-one percent of an average array (interquartile range 42%–74%) was located in the S1 parcel. In patients who achieved long-term benefit from surgery, array location in the individually generated S1 parcels was medial for face pain, centromedial for arm pain, and centrolateral for leg pain. Patients who did not benefit from surgery did not follow this pattern. Standard stereotactic coordinates of electrode locations diverged from this pattern. CONCLUSIONS Connectivity-based parcellation of the thalamus appears to be a reliable method for segmenting the Vc. Identifying the Vc in this way, and targeting mediolaterally as appropriate for the region of pain, merits exploration in an effort to increase the yield of successful surgical procedures.


2020 ◽  
Vol 125 (17) ◽  
Author(s):  
Claudio B. Caporusso ◽  
Pasquale Digregorio ◽  
Demian Levis ◽  
Leticia F. Cugliandolo ◽  
Giuseppe Gonnella

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