Physics & Astronomy Department
Rice University
( a m s 7 @ r i c e . e d u )
GEM 2014
Student tutorial
Image Courtesy of NASA/SOHO
Systems science fundamentals
What are the methodologies behind system science?
Understanding geospace as a complex system
Which regions of geospace constitute the system?
How can system science be applied to geospace modeling?
What methods will be used in Geospace Systems Science (GSS)?
Major goals of GSS Focus Group
What practical utility will come from GSS research?
Focus group details
Who’s coordinating
Session schedule
Future Goals
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Systems science is the interdisciplinary study of complex systems and their interactions
Two properties of systems science to focus on
System-level thinking: employing a broad range of expertise to uncover underlying system interactions
Investigation of collective dynamical system behavior using complex systems analysis techniques
Statistical mechanics of complex systems
Data analysis tools
Characterization of systems in terms of indices
Systems science has well established methods and is used in many natural and social sciences as well as engineering applications
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System dynamics:
Understanding behavior of complex systems over time
Internal feedback loops
Characteristic time delays in system components
Simple systems combine in non-linear ways
Causal loop diagrams
Used to visualize how variables in a system are related
Positive causal links change together (+)
Negative causal links change oppositely (-)
Classic example is the
Adoption model
Two kinds of loops:
Reinforcing and Balancing
-
Potential adopters
B
Market saturation
Adoption rate
+ +
R
“Word of mouth”
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+
Adopters
4
Time lags are also included in causal loop diagrams
Avg. Maternal Age Life
Expectancy
+
Births R
Population
+ -
B
+
Deaths
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Can be extended to encompass an arbitrarily large scope of systems
Expats
Avg. Maternal Age Life
Expectancy
+
+ +
Births R
Population X
+ -
B Deaths
Population Y
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+
Immigrants
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Now that we have a way of organizing system variables, how do we describe their dynamics?
System is represented as an element of a state space
Degrees of freedom are reduced as much as possible, retaining the variables relevant to the phenomenology being studied
This description yields a time dependent state vector that evolves through the state space, akin to Hamiltonian evolution
Key characteristic of many system theoretical methods is the use of a geometrical interpretation
Once this is all formalized, we study the statistical properties of the state
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The magnetosphere-ionosphere system is complex and highly coupled
Many processes act in tandem across interconnected regions
Distinct systems already identified and well studied by GEM researchers
Coupled solar-wind ionosphere-magnetosphere system:
Driven convection
Plasma inflow and outflow
Ionospheric outflow
Flux transport processes
Wave-particle interactions
Etc.
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Solar wind drives ionosphere and magnetosphere
Ionosphere drives the magnetosphere
Magnetosphere drives the ionosphere
Plasma outflow
+ R + M-I coupling
FACs
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+
Reconnection
Rate
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How many more systems are involved?
+
Cold plasma interferes with reconnection
B
Plasma outflow
+ R + M-I coupling
FACs
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+
Reconnection
Rate
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Plasmasphere has several systems science characteristics
A) Cold plasma outflow from the ionosphere accumulates when solar wind coupling is low
B) When solar-wind coupling increases some of the plasma can be transported to the dayside boundary (drainage plume)
Influx of cold plasma mass loads the solar wind reconnection site, reducing the reconnection rate
(Borovsky et al., 2013)
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Borovsky (2014)
11
Plasmasphere has several systems science characteristics
The process effectively forms a negative feedback loop in the driving of the system
The stronger the driving, the more plasma is fed into the reconnection site
Strength of feedback depends on the time history of the magnetosphere (time lag)
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Borovsky (2014)
12
Examples of systems science approaches:
Multifractal behavior of dissipation in the magnetotail has been studied using the AL index
(Valdivia et al., 2013)
Plasma displays multiscale dynamics, phase transitions, turbulence, etc.
Complex system dynamics
ULF indices are correlated with solar wind variables, geomagnetic indices, and other multispacecraft measurements
(Borovsky & Denton, 2014)
Canonical Correlation Analysis (CCA) is used to correlate relativistic electron flux with time integrals of solar wind parameters and geomagnetic indices
A review of systems theory in space physics: (Vassiliadis, 2006)
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Advance the study of system interactions in the underlying geospace phenomena
Identify geomagnetic systems that play a role in the solar wind driven magnetosphere
Spearhead research on key system-level questions involving those systems
This will take some getting used to for the GEM community; it requires us to think differently
Recent progress in radiation belt physics has shown system -level thinking can yield insight
Additional systems characteristics of geospace need to be addressed:
Polar-cap potential saturation
Substorm expansion-recovery cycle
Scale dependence on flow structures and entropy bubbles, etc.
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Evaluate and incorporate systems -science methodologies into
GEM research
Application of systems science methods has mostly been limited to:
Geomagnetic indices
Auroral images
Magnetotail activations
Focus group will be a demonstration project for the value of new analysis tools
System science methodologies are evolving rapidly and there exists a large tool set ready to utilize
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Develop analysis tools for characterization of processes and events in observations and simulations
These will include algorithms for analyzing statistical mechanics of complex systems using established systems science methodologies adapted to geospace science
Focus will be on:
Multiscale interactions of velocity, electric/magnetic field
Transient events
Transitions in unstable magnetic configurations
Nonlinear correlations between interacting regions
Studying correlation of indices using CCA
These tools will aid forecasting ability of global simulation models
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Identification of dynamic couplings, time lags, and feedback processes
New indices characterizing the state of the M -I system
Data analysis guidelines and libraries of analysis codes
Validation of multiscale performance for computational models of the magnetosphere
Journal special issue on GSS
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GSS Discussion Session: Wednesday 10:30-12:15
“Timescales, Time Lags, and Feedback Loops in the Magnetosphere -
Ionosphere System”
Audience discussions
GSS Discussion Session: Wednesday 1:00 - 5:00
“Long Running Measurements of the State of the System: What Can
Be Done?”
Audience discussions
GSS Planning Session: Thursday 10:30 - 12:15
Systems Topics; Systems-Science Methodologies; Data Analysis Tools
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Joint Session with Storm-Time Inner Magnetosphere: Monday
3:30 - 5:00
“The Physics of Shielding”
Joint Session with Magnetosheath: Thursday 1:30 - 3:00
“The Origins of the Non-Adiabatic Heating from the Magnetosheath into the Magnetosphere”
Future joint sessions are expected over the 5 year term from
2014 to 2018
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Joe Borovsky
(jborovsky@spacescience.org)
Bill Lotko
(William.Lotko@dartmouth.edu)
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Vadim Uritsky
(vadim.uritsky@nasa.gov)
GEM Student Tutorial Day
Juan Valdivia
(alejo@macul.ciencias.uchile.cl)
20
Coordinators with CEDAR:
Aaron Ridley
(ridley@umich.edu)
Josh Semeter
(jls@bu.edu)
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Geospace has been i dent ified as a c omplex sy stem
Non-linear, chaotic motion
Feedback loops
Coupling mechanisms
Transient events
Diverse phenomenology
Two m ai n t hem es fo r t he GS S Fo c us Gro up:
Systems thinking: Asking systems level questions to account for the connectedness of different parts of geospace
Synthesis of GSS tools and techniques: Using methods to study the behavior of the magnetosphere without preconceptions from a physics standpoint
Inter disciplinar y approac h i deal fo r a c o mmunity as di ver se as GE M r esearc her s
Additional collaboration with ongoing GEM focus groups, with CEDAR, and with SHINE will take place in the future
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If you’re interested please participate in the focus group sessions!
Any questions?
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• Borovs k y, J. E., (2014), Feedbac k of the Magnetosp he re , Scienc e 7March 2014: 1086 -1087, doi:10.1126/ s c ie n ce .1 25 05 90
• Borovs k y, J. E., and M. H. Denton (2014 ), Explorin g the cross correlat ion s and autocorr ela ti on s of the ULF indices and incorporat ing the ULF indices into the system s science of the solar wind-dri ve n magnetosph e re , J. Geophys . Res. Space Physic s , 119, doi:10.1002/2 01 4 J A0 19 87 6
• Borovs k y, J. E., M. H. Denton, R. E. Denton, V. K. Jordanov a , and J. Krall (2013), Estimatin g the effects of ionospher i c plasma on solar wind/magnet o sp he re coupling viamass loading of dayside reconne cti on : Ion -plasm a- s h ee t oxygen, plasmasph er i c drainage plumes, and the plasma cloak, J.
Geophys . Res. Space Physic s , 118, 5695 –5719, doi:10.1002 /j gr a. 50 527
• Valdivia, J.A., Rogan, J., Munoz, V., Toledo, B.A., Stepanov a, M.(2013), The Magnetosp he re as a
Complex System, Adv. Space Res. ,51, 1934, doi: 10.1016/j.a s r.2 01 2. 04 .0 04
• Vassiliadi s , D. (2006), System s Theory for Geospace Plasma Dynamic s , Rev. Geophys. , 44, RG2002, doi:10.1029/ 20 04 R G0 001 61
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