2,503 research outputs found
A note on Maxwell's equal area law for black hole phase transition
The state equation of the charged AdS black hole is reviewed in the
plane. Thinking of the phase transition, the , , graphs are
plotted and then the equal area law is used in the three cases to get the phase
transition point (P,T). The analytical phase transition point relations for P-T
of charged AdS black hole has been obtained successfully. By comparing the
three results, we find that the equal area law possibly cannot be used directly
for plane. According to the , results, we plot the
graph and find that for a highly charged black hole a very low temperature
condition is required for the phase transition
A New Phase Transition Related to the Black Hole's Topological Charge
The topological charge of AdS black hole is introduced in
Ref.[1,2], where a complete thermodynamic first law is obtained. In this paper,
we investigate a new phase transition related to the topological charge in
Einstein-Maxwell theory. Firstly, we derive the explicit solutions
corresponding to the divergence of specific heat and determine
the phase transition critical point. Secondly, the curve and curve
are investigated and they exhibit an interesting van der Waals system's
behavior. Critical physical quantities are also obtained which are consistent
with those derived from the specific heat analysis. Thirdly, a van der Waals
system's swallow tail behavior is observed when in the
graph. What's more, the analytic phase transition coexistence lines are
obtained by using the Maxwell equal area law and free energy analysis, the
results of which are consistent with each other.Comment: 11 pages, 5 figure
Attractive Interaction between Vortex and Anti-vortex in Holographic Superfluid
Annihilation process of a pair of vortices in holographic superfluid is
numerically simulated. The process is found to consist of two stages which are
amazingly separated by vortex size . The separation distance
between vortex and anti-vortex as a function of time is well fitted by , where the scaling exponent for , and
for . Then the approaching velocity and acceleration as
functions of time and as functions of separation distance are obtained. Thus
the attractive force between vortex and anti-vortex is derived as
for the first stage, and for the second stage. In the end, we explained why the
annihilation rate of vortices in turbulent superfluid system obeys the two-body
decay law when the vortex density is low.Comment: 14 pages, 5 figure
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