Table 1. Linear response in mechanical and chemical systems.
Physical quantity | Mass-spring system | Chemical system |
---|---|---|
Coordinate | Displacement | Receptor occupancy, δn = n - n̄ |
Conjugate force | f | Free energy change δF = kBT (δk+/k+ - δk−/k−) |
Spring constant | κ | kBT/[n̄ (1 - n̄)] |
Damping constant | γ | kBT/(k−n̄) |
The response of a chemical system near equilibrium is directly analogous to that of the familiar mass-spring system in a viscous fluid, in the limit that the inertial term, MẊ, can be neglected (valid for κ/M ≪ γ2/4).