20,951 research outputs found
Holographic Van der Waals phase transition for a hairy black hole
The Van der Waals(VdW) phase transition in a hairy black hole is investigated
by analogizing its charge, temperature, and entropy as the temperature,
pressure, and volume in the fluid respectively. The two point correlation
function(TCF), which is dual to the geodesic length, is employed to probe this
phase transition. We find the phase structure in the temperaturegeodesic
length plane resembles as that in the temperaturethermal entropy plane
besides the scale of the horizontal coordinate. In addition, we find the equal
area law(EAL) for the first order phase transition and critical exponent of the
heat capacity for the second order phase transition in the
temperaturegeodesic length plane are consistent with that in
temperaturethermal entropy plane, which implies that the TCF is a good probe
to probe the phase structure of the back hole.Comment: Accepted by Advances in High Energy Physics(The special issue:
Applications of the Holographic Duality to Strongly Coupled Quantum Systems
The Advantage of Playing Home in NBA: Microscopic, Team-Specific and Evolving Features
The idea that the success rate of a team increases when playing home is
broadly accepted and documented for a wide variety of sports. Investigations on
the so-called home advantage phenomenon date back to the 70's and every since
has attracted the attention of scholars and sport enthusiasts. These studies
have been mainly focused on identifying the phenomenon and trying to correlate
it with external factors such as crowd noise and referee bias. Much less is
known about the effects of home advantage in the microscopic dynamics of the
game (within the game) or possible team-specific and evolving features of this
phenomenon. Here we present a detailed study of these previous features in the
National Basketball Association (NBA). By analyzing play-by-play events of more
than sixteen thousand games that span thirteen NBA seasons, we have found that
home advantage affects the microscopic dynamics of the game by increasing the
scoring rates and decreasing the time intervals between scores of teams playing
home. We verified that these two features are different among the NBA teams,
for instance, the scoring rate of the Cleveland Cavaliers team is increased
0.16 points per minute (on average the seasons 2004-05 to 2013-14) when playing
home, whereas for the New Jersey Nets (now the Brooklyn Nets) this rate
increases in only 0.04 points per minute. We further observed that these
microscopic features have evolved over time in a non-trivial manner when
analyzing the results team-by-team. However, after averaging over all teams
some regularities emerge; in particular, we noticed that the average
differences in the scoring rates and in the characteristic times (related to
the time intervals between scores) have slightly decreased over time,
suggesting a weakening of the phenomenon.Comment: Accepted for publication in PLoS ON
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