scholarly journals Modeling and Simulation of Synchronous Threshold in Vent Collective Behavior

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Yaofeng Zhang ◽  
Renbin Xiao
Keyword(s):  
Collective Behavior ◽  
Mean Field Theory ◽  
Mean Field ◽  
Mathematic Model ◽  
Homogeneous Group ◽  
The Social ◽  
Multi Agent ◽  
Group 3 ◽  
Global Coupling ◽  
Local Coupling

With the strengthening of the social contradiction, the outbreak of vent collective behavior tends to be frequent. The essence of vent collective behavior is emergence of synchronization. In order to explore the threshold of consensus synchronization in vent collective behavior, a mathematic model and a corresponding simulation model based on multi-agent are proposed. The results of analysis by mean field theory and simulation experiments show the following. (1) There is a thresholdKcfor consensus synchronization in global-coupling and homogeneous group, and when the system parameterKis greater thanKc, consensus synchronization emerge. Otherwise the system cannot achieve synchronization. The conclusion is verified by further study of multiagent simulation. (2) Compared with the global-coupling situation, the process of synchronization is delayed in local-coupling and homogeneous group. (3) For local-coupling and heterogeneous group, consensus dissemination can achieve synchronization only when the effects of the parameters meet the threshold requirements of consensus synchronization.

scholarly journals Filament extensibility and shear stiffening control persistence of strain and loss of coherence in cross-linked motor-filament assemblies

2018 ◽  
Author(s):  
Arvind Gopinath ◽  
Raghunath Chelakkot ◽  
L. Mahadevan
Keyword(s):  
Collective Behavior ◽  
Molecular Motors ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spatial Coordination ◽  
Elastic Filaments ◽  
Mechanical Information ◽  
Loss Of Coherence ◽  
Elastic Strains

AbstractCross-linked flexible filaments deformed by active molecular motors occur in many natural and synthetic settings including eukaryotic flagella, the cytoskeleton and in vitro motor assays. In these systems, an important quantity that controls spatial coordination and emergent collective behavior is the length scale over which elastic strains persist. We estimate this quantity in the context of ordered composites comprised of cross-linked elastic filaments sheared by active motors. Combining a mean-field theory valid for negligibly noisy systems with discrete simulations for noisy systems, we show that the effect of localized strains – be they steady or oscillatory – persist over distances determined by motor kinetics, motor elasticity and filament extensibility. The cut-off length that emerges from these effects controls the transmission of mechanical information and determines the criterion for spatially separated motor groups to stay synchronized. Our results generalize the notion of persistence in passive, Brownian filaments to active, cross-linked filaments.

scholarly journals PHASE TRANSITIONS IN SOCIAL SCIENCES: TWO-POPULATION MEAN FIELD THEORY

2008 ◽  
Vol 22 (14) ◽  
pp. 2199-2212 ◽  
Author(s):  
PIERLUIGI CONTUCCI ◽  
IGNACIO GALLO ◽  
GIULIA MENCONI
Keyword(s):  
Social Sciences ◽  
Mean Field Theory ◽  
Relative Size ◽  
Mean Field ◽  
Critical Threshold ◽  
Cultural Interaction ◽  
Mechanics Model ◽  
Average Magnetization ◽  
The Social ◽  
Two Populations

A new mean field statistical mechanics model of two interacting groups of spins is introduced, and the phase transition is studied in terms of their relative size. A jump of the average magnetization is found for large values of the mutual interaction when the relative percentage of the two populations crosses a critical threshold. It is shown how the critical percentage depends on internal interactions and on the initial magnetizations. The model is interpreted as a prototype of resident-immigrant cultural interaction, and conclusions from the social sciences perspectives are drawn.

scholarly journals MFVFD: A Multi-Agent Q-Learning Approach to Cooperative and Non-Cooperative Tasks

2021 ◽  
Author(s):  
Tianhao Zhang ◽  
Qiwei Ye ◽  
Jiang Bian ◽  
Guangming Xie ◽  
Tie-Yan Liu
Keyword(s):  
Value Function ◽  
Empirical Studies ◽  
Mean Field Theory ◽  
Mean Field ◽  
Learning Approach ◽  
Matrix Games ◽  
Q Learning ◽  
Function Decomposition ◽  
Cooperative Tasks ◽  
Multi Agent

Value function decomposition (VFD) methods under the popular paradigm of centralized training and decentralized execution (CTDE) have promoted multi-agent reinforcement learning progress. However, existing VFD methods proceed from a group's value function decomposition to only solve cooperative tasks. With the individual value function decomposition, we propose MFVFD, a novel multi-agent Q-learning approach for solving cooperative and non-cooperative tasks based on mean-field theory. Our analysis on the Hawk-Dove and Nonmonotonic Cooperation matrix games evaluate MFVFD's convergent solution. Empirical studies on the challenging mixed cooperative-competitive tasks where hundreds of agents coexist demonstrate that MFVFD significantly outperforms existing baselines.

scholarly journals Mean-Field Theory Revives in Self-Oscillatory Fields with Non-Local Coupling

2006 ◽  
Vol 161 ◽  
pp. 127-143 ◽  
Author(s):  
Yoshiki Kuramoto ◽  
Shin-ichiro Shima ◽  
Dorjsuren Battogtokh ◽  
Yuri Shiogai
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Non Local ◽  
Local Coupling

Mean field theory of n-layer unbinding

1993 ◽  
Vol 3 (3) ◽  
pp. 385-393 ◽  
Author(s):  
W. Helfrich
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field

INFLUENCE OF PERSONAL COMMUNICATION NETWORKS ON INNOVATION ADOPTION — USING MULTI-AGENT SIMULATIONS TO PROJECT THE LAUNCH OF AN INNOVATIVE MEDICAL DEVICE

2013 ◽  
Vol 10 (05) ◽  
pp. 1340021 ◽  
Author(s):  
CHRISTIAN BARROT ◽  
JAN KUHLMANN ◽  
ANDREA POPA
Keyword(s):  
Medical Device ◽  
Interpersonal Communication ◽  
Communication Networks ◽  
Personal Communication ◽  
Market Penetration ◽  
Modeling Framework ◽  
Communication Processes ◽  
The Social ◽  
The Us ◽  
Multi Agent

Adoption processes are often heavily influenced by interpersonal communication. Marketing managers are increasingly trying to use these relationships to foster the market penetration of their products. In an empirical study of the US market for an innovative medical device, we survey the social network of (mostly chief) anesthetists from 151 hospitals. We confirm the influences from personal communication on individual adoption decisions through hazard regressions. We then use a multi-agent modeling framework trying to identify what seeding strategies would have been optimal to achieve a fast market penetration, i.e. which and how many anesthetists should be selected to initiate personal communication processes.

scholarly journals Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models

2000 ◽  
Vol 61 (17) ◽  
pp. 11521-11528 ◽  
Author(s):  
Sergio A. Cannas ◽  
A. C. N. de Magalhães ◽  
Francisco A. Tamarit
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Models ◽  
Classical Spin ◽  
The Mean ◽  
Classical Spin Models
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