Estimation of the isothermal compressibility from event-by event multiplicity fluctuation studies

The first estimation of the isothermal compressibility (k(T)) of matter is presented for a wide range of collision energies from root s(NN) = 7.7 GeV to 2.76 TeS k(T) is estimated with the help of event-by event charged particle multiplicity fluctuations from experiment. Dynamical fluctuations are extracted by removing the statistical fluctuations obtained from the participant model. k(T) is also estimated from event generators Amyl:, UrOMD, EPOS and a hadron resonance gas model. The values of isothermal compressibility are estimated for the Large Hadron Collider (LHC) energies with the help of the event generators.