The case of the disappearing energy: potential energies in concentration gradients

Abstract This paper reviews observations on processes involving concentration gradients to show that (1) Concentration gradients can do external work during discharge if the system is arranged in a manner that requires it. (2) Work has to be done on the system (i.e. energy has to be added) to create a concentration gradient. (3) Concentration gradients can spontaneously discharge with no change in energy except interaction energy. These three observations are significant since, together, these observations demonstrate an apparent violation of the law of conservation of energy which is resolved by proposing that a probability field is a common element for all concentration gradients. This paper thus introduces two new concepts into thermodynamics: (1) Many spontaneous processes occur because of an increase in probability, not because of a decrease in the energy state of the system. (2) Concentration gradients coincide with a probability field and a constraint-dependent and temperature-dependent potential energy.