Thermodynamic Volume in AdS/CFT

Abstract

Abstract. In this note, we study on extended thermodynamics of AdS black holes by varying cosmological constant. We found and discussed pressure and volume of both bulk and boundary physics through AdS/CFT correspondence. In particular, we derive the relation between thermodynamic volume and a chemical potential for M2 brane dual to four dimensional AdS space. In addition, we show that thermodynamic volume of hyperbolic black hole is related to 'entanglement pressure' coming from a generalized first law of entanglement entropy.

Isospin influence on nuclear dynamics in the reactions 78,86Kr+40,48Ca at 10 AMeV

“…This factor seems to be insufficient to remove the fluctuations, in fact the temperatures evaluated with the two thermometers ( 6,7 Li/ 3,4 He and 9,10 Be/ 3,4 He) are slightly different, however they show the same behaviour, in both cases the temperature is higher for the neutron rich system. We have simulated the two studied reactions with the statistical code GEMINI++ and reported the values of the temperature theoretically predicted by using the 6,7 Li/ 3,4 He thermometer in table 2. It was not possible to use the 9,10 Be/ 3,4 He thermometer because of the insufficient statistic with which the isotope 10 Be is produced in the simulation.…”

“…The relation which links the apparent temperature Tapp to the equilibrium value of the temperature T0 is given by: (2) where B is the binding energy. The temperature was extracted with helium isotope thermometers thanks to the copious production of 3 He and 4 He. To have a better comparison we have used the same thermometers by choosing couple of isotopes common to the two systems.…”

“…In table 1 are tabulated the values of the "real temperature" obtained, by correcting the experimental "apparent temperature" with the factor k semiempirically measured in reference [11]. This factor seems to be insufficient to remove the fluctuations, in fact the temperatures evaluated with the two thermometers ( 6,7 Li/ 3,4 He and 9,10 Be/ 3,4 He) are slightly different, however they show the same behaviour, in both cases the temperature is higher for the neutron rich system. We have simulated the two studied reactions with the statistical code GEMINI++ and reported the values of the temperature theoretically predicted by using the 6,7 Li/ 3,4 He thermometer in table 2.…”

“…We have simulated the two studied reactions with the statistical code GEMINI++ and reported the values of the temperature theoretically predicted by using the 6,7 Li/ 3,4 He thermometer in table 2. It was not possible to use the 9,10 Be/ 3,4 He thermometer because of the insufficient statistic with which the isotope 10 Be is produced in the simulation. According to the GEMINI++ model the temperatures are higher for the neutron rich system compared to the neutron poor one, in agreement with what was observed experimentally.…”

“…In fact, they lead to the formation of two composite systems that differ overall for sixteen neutrons and for this reason we refer to them as neutron poor ( 78 Kr + 40 Ca) and neutron rich ( 86 Kr + 48 Ca) systems. These reactions have been widely studied and the differences in the decay mechanism of the composite system [1,2,3] and in the competition between the statistic and dynamic break-up of the quasi-projectile [4,5] as a function of the neutron enrichment has been highlighted. In this work, the results relative to the investigation on the influence of the isospin on the temperature of the composite system and the quasi projectile by using two different approaches will be presented.…”