Molecular Dynamics pp 1-26 | Cite as
Simulating the Dynamics of Macromolecules
Chapter
Abstract
Equilibria in biological systems are governed by their tendency to move towards states of lower free energy. The equilibrium constant K for a chemical reaction at constant temperature and pressure is related to the change in free energy by the equation
where G is the Gibbs free energy, R is the gas constant and T is the absolute temperature. The change in G may be related to the changes in the internal energy E, pressure P, volume V and entropy S by the equation
In a well-ordered system at modest temperatures ΔE may dominate this equation and the stable conformation of a molecular system may be calculated by minimizing the internal energy E. This energy is the sum of potential and kinetic energies and, as the latter depends only on temperature, the problem reduces to the minimization of the potential energy. This is discussed in the section entitled Other methods employed in molecular simulations.
$$\Delta G = - RT\ln \;K$$
(1.1)
$$\Delta G = \Delta E + P\Delta V - T\Delta S$$
(1.2)
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