FAIRNESS 2013 was the second edition in a series of workshops designed to bring together excellent international young scientists with research interests focused on physics at FAIR (Facility for Antiproton and Ion Research) and was held on 16?21 September 2013 in Berlin, Germany. The topics of the workshop cover a wide range of aspects in both theoretical developments and current experimental status, concentrated around the four scientific pillars of FAIR. FAIR is a new accelerator complex with brand new experimental facilities, that is currently being built next to the existing GSI Helmholtzzentrum for Schwerionenforschung close to Darmstadt, Germany. The spirit of the conference is to bring together young scientists, e.g. advanced PhD students and postdocs and young researchers without permanent position to present their work, to foster active informal discussions and build up of networks. Every participant in the meeting with the exception of the organizers gives an oral presentation, and all sessions are followed by an hour long discussion period. During the talks, questions are anonymously collected in box to stimulate discussions. Since the physics program of FAIR is very broad, this is reflected in the wide range of topics covered at the Conference: Physics of hot and dense nuclear matter, QCD phase transitions and critical point Nuclear structure, astrophysics and reactions Hadron spectroscopy, Hadrons in matter and Hypernuclei Special emphasis is put on the experiments CBM, HADES, PANDA, NuSTAR, as well as NICA and the RHIC low beam energy scan New developments in atomic and plasma physics For all of these different areas one invited speaker was selected to give a longer introductory presentation. The write-ups of the talks presented at FAIRNESS 2013 are the content of this issue of Journal of Physics: Conference Series and have been refereed according to the IOP standard for peer review. This issue constitutes therefore a collection of the forefront of research that is dedicated to the physics of FAIR. February 2014. Organizers of FAIRNESS 2013: Marco Destefanis, Tetyana Galatyuk, Fernando Montes, Diana Nicmorus, Hannah Petersen, Claudia Ratti, Laura Tolos, and Sascha Vogel. Support for holding the conference was provided by: