2020年12月14日 · Since the free energy ##F## is a function of temperature this defines a function of temperature (##T##). Moreover pressure is ##P = -\frac {\partial F} {\partial V}## so a spinodal line could be seen in PV graph as a line that satisfies ##\frac {\partial P}{\partial V} = 0##.

2023年1月20日 · Referring to first figure attached, if we put a system of a certain composition at a T and P corresponding to a point inside the spinodal, will it (with very small fluctuations) just jump to the corresponding binodal compositions at that …

2020年4月6日 · To answer this question one might notice that the spinodal line is the point where ##\frac {\partial P} {\partial V} = 0##, but since ##P = -\frac {\partial F}{\partial V}## (##F## is the Helmholtz's free energy), then ## \frac {\partial^2 F}{\partial V^2} = 0## so, the spinodal point is a point where Helmholtz's free energy reverses its curvature.

2006年3月2日 · Spinodal Decomposition: Exploring Crossover Points & Metastable States. Dec 15, 2015; Replies 0 Views 2K ...

2014年4月11日 · You're right. It sure looks like they made a slew of algebra mistakes. The first term on the right hand side of 26.41 isn't even dimensionally correct.

2017年3月4日 · It is assumed (and can be proved) that all parameters are constant at equilibrium. Think, for example, on an expansive system, so you take ##U=U (S, V, N)##; If you "drop" the system from an arbitrary state, always evolves to another state (equilibrium state) until the energy U is minimal and the entropy S is maximal.

2017年4月22日 · I learned in the earlier chapters that peaks and valleys of a fxn have points where f'=0 (i marked them with red x). A few chapters later it said if a fxn has 2 roots, then f'=0 (still the 1st graph). So does that mean if the graph of a fxn is like the 2nd graph, the peaks and valleys are not...

2015年11月9日 · Engineering Spinodal and Isotherms graph on P-V diagram. Dec 21, 2020; Replies 8 Views 2K.

2014年8月15日 · Liquid water may be superheated to about +240 °C to +280 °C in capillaries or small droplets within high-boiling immiscible solvents (the limit of superheating, also called the spinodal temperature, is about 330 °C ). Degassing water increases its tendency to superheat.