3,760 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
Practical Deep Reinforcement Learning Approach for Stock Trading
Stock trading strategy plays a crucial role in investment companies. However,
it is challenging to obtain optimal strategy in the complex and dynamic stock
market. We explore the potential of deep reinforcement learning to optimize
stock trading strategy and thus maximize investment return. 30 stocks are
selected as our trading stocks and their daily prices are used as the training
and trading market environment. We train a deep reinforcement learning agent
and obtain an adaptive trading strategy. The agent's performance is evaluated
and compared with Dow Jones Industrial Average and the traditional min-variance
portfolio allocation strategy. The proposed deep reinforcement learning
approach is shown to outperform the two baselines in terms of both the Sharpe
ratio and cumulative returns
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
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