Title: The physical modelling of society
1The physical modelling of society
Philip Ball
Nature 4-6 Crinan St London N1 9XW p.ball_at_nature.c
om
2Thomas Hobbes (1588-1679)
3The first social physicists
Auguste Comte (1798-1857)
Pierre-Simon Laplace (1749-1827)
John Graunt (1620-74)
4The gaussian distribution
Probability of variable h
Variable h
5The first statistical physicists
Maxwell distribution
James Clerk Maxwell (1831-1879)
Ludwig Boltzmann (1844-1906)
6 there is an unbridgeable gap between the
behaviour of subatomic particles and those of
the human beings who constitute the objects of
study of social science... aside from pure
physical reflexes, human behaviour cannot be
understood without the concept of volitionthe
unpredictable capacity to change our minds up to
the very last moment. By way of contrast, the
elements of nature behave as they do for
reasons of which we know only one thing the
particles of physics do not choose to behave as
they do. Robert Heilbroner
7Density
8Critical transition
First-order transition
Magnetization
Density
9The Ising model
10The critical point
11Critical fluctuations
12Self-organized criticality
Probability of avalanche of that size
Log (probability)
13Economic fluctuations
SP500
14Traffic states
15Alliance formation
B
A
C
Alliance 2 DEC Hewlett-Packard Apollo Intergraph S
GI
Alliance 1 Sun ATT Prime IBM
UNIX International (IBM)
Open Software Foundation (-IBM)
16Firm growth rates
Relative probability
No change
17Firm size distribution
Number of firms
18Firm turnover
Size of largest firm
Number of firms
19Experimental firm size distribution
Frequency of firms of that size
20Experimental firm growth rates
Frequency
21Typical firm history
Firm size
22Social forces and marriage
Proportion of adult population married
Density
23Marriage as a critical phenomenon
Strength of social attitudes
Economic incentive to stay married
Temperature
Pressure