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When the phase change occurs, there is a "thermal arrest"; that is, the temperature stays constant. This is because the matter has more internal energy as a liquid or gas than in the state that it is cooling to. The amount of energy required for a phase change is known as latent heat. The "cooling rate" is the slope of the cooling curve at any ...
In physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating total energy (which is also called relativistic energy) to invariant mass (which is also called rest mass) and momentum. It is the extension of mass–energy equivalence for bodies or systems with non-zero momentum.
In thermodynamics, the free energy difference = between two states A and B is connected to the work W done on the system through the inequality: , with equality holding only in the case of a quasistatic process, i.e. when one takes the system from A to B infinitely slowly (such that all intermediate states are in thermodynamic equilibrium).
These equations specify the evolution of the scale factor the universe in terms of the pressure and density of a perfect fluid. The evolving density is composed of different kinds of energy and matter, each with its own role in affecting the scale factor. [4]: 7 For example, a model might include baryons, photons, neutrinos, and dark matter.
In physics and chemistry, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given set of physical conditions, such as pressure, volume, temperature, or internal energy. [1] [2] Most modern equations of state are formulated in the Helmholtz free energy. Equations of state are ...
[6] [7] This generic equation plays a central role in the theory of critical dynamics, [8] and other areas of nonequilibrium statistical mechanics. The equation for Brownian motion above is a special case. An essential step in the derivation is the division of the degrees of freedom into the categories slow and fast. For example, local ...
The equation of motion for the particle derived above = + + can be rewritten using the definition of the Schwarzschild radius r s as = [] + + (+) which is equivalent to a particle moving in a one-dimensional effective potential = + (+) The first two terms are well-known classical energies, the first being the attractive Newtonian gravitational ...
Combining the above kinetic equation with Newton's law of viscosity = gives the equation for shear viscosity, which is usually denoted when it is a dilute gas: = ¯ Combining this equation with the equation for mean free path gives η 0 = 1 3 2 m v ¯ σ {\displaystyle \eta _{0}={\frac {1}{3{\sqrt {2}}}}{\frac {m{\bar {v}}}{\sigma }}}
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