A Simple Stochastic Model for Dipole Moment Fluctuations in Numerical Dynamo Simulations

We present a simple model for the axial dipole moment (ADM) of the geomagnetic field based on a stochastic differential equation for two coupled particles in a biquadratic potential, subjected to Gaussian random perturbations. This model generates aperiodic reversals and excursions separated by stable polarity periods. The model reproduces the temporal asymmetry of geomagnetic reversals, with slower decaying rates before the reversal and faster growing rates after it. This temporal asymmetry is possible because our model is out of equilibrium. The existence of a thermal imbalance between the two particles sets a preferential sense for the energy flux and renders the process irreversible.

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A Simple Stochastic Model of Natural Rhythmic Processes

10.21236/ada261210 ◽

1993 ◽

Author(s):

K. S. Voychishin ◽

Ya. P. Dragan

Keyword(s):

Stochastic Model ◽

Simple Stochastic Model

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Cognition, conflict, and doctrine: How groupthink fails on a Clausewitz landscape

The Journal of Defense Modeling and Simulation Applications Methodology Technology ◽

10.1177/1548512919843642 ◽

2019 ◽

Vol 17 (2) ◽

pp. 137-142 ◽

Cited By ~ 1

Author(s):

Rodrick Wallace

Keyword(s):

Stochastic Model ◽

Constrained Optimization ◽

Real Time ◽

Institutional Effectiveness ◽

Shadow Price ◽

Political Campaigns ◽

Direct Approach ◽

Optimization Models ◽

Anytime Algorithm ◽

Simple Stochastic Model

Real-time conflict takes place on Clausewitz landscapes most notably marked by fog-of-war and frictional limits, uncertainties, and misperceptions. Imposition of such factors on an opponent is, in fact, a standard tactic of confrontation, from courts of law to commerce, from political campaigns to the battlefield. Time-constrained optimization models of institutional effectiveness, based on ‘anytime algorithm’ methods, suggest that the burden of doctrinal groupthink may become synergistic with fog-of-war and friction to greatly compromise the ability of an institution to respond to shadow price demands imposed by a contending agent or environment. A different, and more direct, approach via a ‘simple’ stochastic model, provides similar insight.

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