LOGO School of Systems Beijing Normal University Jiang Zhang @ Ali forum of complexity science 2014 Flow Networks A new perspective of complex systems
Contents 1 Flow Networks 2 Common Patterns 3 Constructal Law? School of Systems Science
Open system negative entropy flow E. Schrodinger What is life,1943 I. Prigogine Bernard’s convection School of Systems Science
Flow Network F i M F o School of Systems Science
Flow Channels LOGO www.themegallery.com
Living Systems School of Systems Science
Living Systems School of Systems Science
Traffic Flows School of Systems Science
Energy Flows School of Systems Science
Money Flow William Phillips (1914 – 1975) Phillips and Moniac School of Systems Science
Goods Flow World-wide Trade Network School of Systems Science
Information Flow? Social Network Clickstream: Attention flow School of Systems Science
Attention Flow School of Systems Science Wu, and Zhang: The decentralized flow structure of clickstreams on the web; EPJ B (2013) 86: 266
Common Features Conservative flows Flow balance Steady state Large dissipation Universal quantitative patterns: Dissipation law Gravity law Scale-free distribution School of Systems Science
Kleiber’s law d F ~ M d 1 + Kleiber 1943; Banavar, 1999; Dreyer 2001 School of Systems Science
Generalized Kleiber’s Law Baidu Tieba: Collective attention flow Flow in Body mass Flow out Wu et al.: The Metabolism and Growth of Web Forums; PLoS ONE 9(8): e102646 School of Systems Science
Generalized Kleiber’s law M ~ F θ PV ~ UV θ t t 1 L PV / UV ~ UV θ − = t t t t M : page views; F i F : unique visitors L : average flow length Θ : stickness of forums M F o Wu et al.: The Metabolism and Growth of Web Forums; PLoS ONE 9(8): e102646 School of Systems Science
Results 30,000 forums of Baidu Tieba Wu et al.: The Metabolism and Growth of Web Forums; PLoS ONE 9(8): e102646 School of Systems Science
Dissipation & Allometry Zhang and Wu: Allometry and Dissipation of Ecological Flow Networks; PLoS ONE 2013, 8(9): e72525 School of Systems Science
Other Flow Networks Network Exponent Clickstream of Delicious, Digg >1 Clickstream of News, Indiana ~1 university Clickstream of mobile phone users <1 Energetic Food webs ~1 Input-output network (U.S.) ~1 Input-output network (China) <1 Zhang and Guo: Scaling Behaviors of Weighted Food Webs as Energy Transportation Networks; Journal of Theoretical Biology 264 (2010) 760–770, School of Systems Science
Channel changes in recent 1000 years of Willamette River Flow and channel School of Systems Science
Constructal Law? For a finite-size system to persist in time (to live), it must evolve in such a way that it provides easier access to the imposed currents A. Bejan that flow through it ---- Bejan School of Systems Science
Waiting for Newton? Tycho Ottesen Brahe Johannes Kepler Sir Isaac Newton ？ Big Data Kleiber’s Scaling Complex Networks laws School of Systems Science
LOGO School of Systems Beijing Normal University Thank You ! http://www.swarma.org/jake zhangjiang@bnu.edu.cn
Metro networks θ characterizes the transportation θ is small efficiency, or the stickness of a system θ does not change with system size θ is large School of Systems Science
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