Question

If a thermostat is not implemented in MD does the pressure remain constant or does it vary
Outline a simple pressure scaling method.

In a closed thermodynamic system, the difference in energy between two states of a thermodynamic system is path independent. What does this mean? What implications does it have for calculating free energies in simulations? Outline two possible ways of constructing the path between two different states in a thermodynamic system.

Answer 1

The law of conservation of energy states that the total energy of an isolated system is constant; energy can be transformed from one form to another, but can be neither created nor destroyed.

a systeme Thermostat Means Temperature of will maintaind if we set a temperature for Ex. 300k of a ploysical systeme so property of a thermosefar is T constant so p will change so pressure will change )

The first law

${\displaystyle \Delta U=Q-W.}$

It states that the change in the internal energy ΔU of a closed system is equal to the amount of heat Q supplied to the system, minus the amount of work W done by the system on its surroundings.

"so in a closed system the difference in energy between two states of a thermodynamic system is path independent because of energy conservation "