Papers

1. R. Franzosi and E. Guadagnini, ”Particle decays and space-time kinematics in (2 + 1) gravity”, Nuclear Physics B 450 (1995) 327-354

2. R. Franzosi and E. Guadagnini, ”Topology and classical geometry in (2 + 1) gravity”, Class. Quantum Grav. 13 (1996) 433-460

3. M. Cerruti-Sola, R. Franzosi and M. Pettini, ”Lyapunov exponents from geodesic spread in configuration space”, Phys. Rev. E 56 4872 (1997)

4. R. Franzosi, M. Ghilardi and E. Guadagnini, ”Modular transformations and one-polygon tessellation”, Phys. Lett. B 418 (1998) 42-45

5. R. Franzosi, L. Casetti, L. Spinelli and M. Pettini,“Topological aspects of geometrical signatures of phase transitions”, Phys. Rev. E 60 R5009 (1999)

6. R. Franzosi, M. Pettini and L. Spinelli, “Topology and phase transitions: a paradigmatic evidence”, Phys. Rev. Lett. 84, 2774 (2000)

7. R. Franzosi, R. Gatto, G. Pettini and M. Pettini, “Analytic Lyapunov exponents in a classical

nonlinear field equation”, Phys. Rev. E 61 R3299 (2000)

8. R. Franzosi, V. Penna and R. Zecchina, “Quantum Dynamics of coupled Bosonic Wells within the Bose-Hubbard Picture”, Int. Jour. of Mod. Phys. B Vol. 14, No. 9 (2000) 943-961

9. R. Franzosi and V. Penna, “Spectral Properties of Coupled Bose-Einstein Condensates”, Phys. Rev. A 63, 043609-1 (2001)

10. R. Franzosi and V. Penna, “Self-trapping mechanisms in the dynamics of three coupled Bose-

Einstein condensates”, Phys. Rev. A 65, 013601-1 (2001)

11. R. Franzosi and V. Penna, “Spectral Properties and Self-Trapping Effect in Coupled Bose-Einstein Condensates”, Laser Physics, Vol 12, No.1, (2002), pp. 71-76

12. R. Franzosi and V. Penna, “Chaotic behavior, collective modes and self-trapping in the dynamics of three coupled Bose-Einstein condensates”, Phys. Rev. E, 67, 046227 (2003)

13. P. Buonsante, R. Franzosi, and V. Penna,“Instability Effects in the Dynamics of three Coupled Bosonic Wells”, Laser Physics, Vol 13, No.4, (2003), p. 537-542

14. P. Buonsante, R. Franzosi, and V. Penna, “Dynamical Instability in a Trimeric Chain of Interacting Bose-Einstein Condensates”, Phys. Rev. Lett., 90, 050404 (2003)

15. R. Franzosi and M. Pettini, “Theorem on the Origin of Phase Transitions”, Phys. Rev. Lett. 92, 60601 (2004)

16. P. Buonsante, R. Franzosi, and V. Penna, “Dynamics of twin-condensate configurations in an open chain of three Bose-Einstein condensates”, Laser Physics, Vol 14, No.4, (2004), p. 556-564

17. P. Buonsante, R. Franzosi and V. Penna, “From the superfluid to the Mott regime and back: triggering a non-trivial dynamics in an array of coupled condensates”, J. Phys. B, 37, (2004) s195-s203

18. P. Buonsante, R. Franzosi and V. Penna, “Persistence of mean-field features in the energy spectrum of small arrays of Bose-Einstein condensates”, J. Phys. B, 37, (2004) s229-s238

19. R. Franzosi, B. Zambon, and E. Arimondo, “Nonadiabatic effects in the dynamics of atoms confined in a cylindric time-orbiting-potential magnetic trap”, Phys. Rev. A, 70, 053603 (2004)

20. M. Pettini, L. Casetti, M. Cerruti-Sola, R. Franzosi, E. G. D. Cohen, “Weak and strong chaos in FPU models and beyond”, Invited paper for the special issue of Chaos celebrating the 50th anniversary of the FPU article, Chaos 15, 015106 (2005)

21. R. Franzosi, P. Poggi and M. Cerruti-Sola, “Lyapunov exponents from unstable periodic orbits”, Phys. Rev. E 71, 036212 (2005)

22. R. Franzosi, M. Cristiani, C. Sias and E. Arimondo “Coherent transport of cold atoms in angle-tuned optical lattices”, Phys. Rev. A 74, 013403 (2006)

23. R. Livi, R. Franzosi and G.-L. Oppo, “Selflocalization of Bose-Einstein condensates in optical lattices via boundary dissipation”, Phys. Rev. Lett. 97, 060401 (2006)

24. R. Franzosi, R. Livi and G.-L. Oppo, “Probing the dynamics of Bose-Einstein condensates via boundary dissipation”, Journal of Physics B 40, 1195 (2007)

25. R. Franzosi, M. Pettini and L. Spinelli, “Topology and Phase Transitions I. Preliminary Results”, Nuclear Physics B 782 (2007) 189-218

26. R. Franzosi and M. Pettini, “Topology and Phase Transitions II. Entropy and Topology”, Nuclear Physics B 782 (2007) 219-240

27. R. Franzosi, “Nonclassical dynamics of Bose-Einstein condensates in an optical lattice in the super-fluid regime”, Phys. Rev. A 75, 053610 (2007)

28. M. Cerruti-Sola, G. Ciraolo, R. Franzosi and M. Pettini, “Riemannian geometry of Hamiltonian chaos: Hints for a general theory”, Phys. Rev. E, 78, 046205 (2008)

29. P. Buonsante, R. Franzosi and V. Penna, “Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates ”, J. Phys. A: Math. Theor. 42 (2009) 285307

30. B. Zambon and R. Franzosi, “Dynamics of atoms in a time orbiting potential trap: consequences of the classical description”, J. Phys. B 43 085302 (2010).

31. R. Franzosi, S. M. Giampaolo and F. Illuminati, “Quantum localization and bound-state formation in Bose-Einstein condensates”, Phys. Rev. A 82, 063620 (2010).

32. R. Franzosi, S. M. Giampaolo, F. Illuminati, R. Livi, G-L. Oppo, and A Politi, “Localization of Bose-Einstein condensates in optical lattice”, accepted for the publication in Central European Journal of Physics, Online First™, 18 May 2011.

33. R. Franzosi, “Microcanonical entropy and dynamical measure of temperature for systems with two first integrals”, J. Stat. Phys. (2011) 143: 824–830

34. R. Franzosi, R. Livi, G.-L. Oppo and A. Politi “Discrete Breathers in Bose-Einstein Condensates”, Nonlinearity 24 (2011) R89-R122

35. R. Franzosi “Geometric microcanonical thermodynamics for systems with first integrals”, Phys. Rev. E, 85, R050101 (2012)

36. S. Iubini, R. Franzosi, R. Livi, G.-L. Oppo and A. Politi, “Discrete breathers and negative-temperature states”, New J. Phys. 15 (2013) 023032.

37. R. Franzosi and R. Vaia, “Newton's cradle analogue with Bose–Einstein condensates”, J. Phys. B, 47 095303 (2014)

38. R. Franzosi and R. Vaia, “Quantum Newton's Cradle with Bose-Einstein Condensates”, 2Physics.com, Sunday, June 01, 2014,

http://www.2physics.com/2014/06/quantum-newtons-cradle-with-bose.html

39. Roberto Franzosi, Domenico Felice, Stefano Mancini, Marco Pettini, “A geometric entropy detecting the Erdös-Rényi phase transition”, EPL, 111 (2015) 20001.

40. I. Donato, M. Gori, M. Pettini, G. Petri, S. De Nigris, R. Franzosi and F. Vaccarino, “Persistent homology analysis of phase transitions”, Phys. Rev. E, 93, 052138 (2016).

41. R. Franzosi, D. Felice, S. Mancini and M. Pettini, “Riemannian-geometric entropy for measuring network complexity”, Phys. Rev. E, 93, 062317 (2016).

42. P. Buonsante, R. Franzosi and A. Smerzi, “On the dispute between Boltzmann and Gibbs

entropy”, Annals of Physics 375 (2016) 414–434.

43. P. Buonsante, R. Franzosi and A. Smerzi, “Phase transitions at high energy vindicate negative microcanonical temperature”, Phys. Rev E 95, 052135 (2017).

44. D. Felice, R. Franzosi, S. Mancini and M. Pettini, “Catching homologies by geometric entropy”, Physica A 491, (2018) 666-677.

45. R. Franzosi, “Microcanonical entropy for classical systems”, Physica A 494, (2018) 302-307.

Book Chapters

    1. R. Livi, R. Franzosi and G.-L. Oppo, Spontaneous Localization of Bose-Einstein Condensates in Optical Lattices with Boundary Dissipations, in Laser and Bose-Einstein Condensation Physics, Editors: Man Mohan, Anil Kumar, Aranya B. Bhattacherjee, Anil Kumar Razdan, Narosa Publishing House, ISBN: 978-81-8487-064-0

    2. M. Pettini, R. Franzosi and L. Spinelli, “Topology and Phase Transitions: Towards a Proper Mathematical Definition of Finite N Transitions”, in Nucleus–Nucleus Collisions -Proceedings of the Conference “Bologna 2000: Structure of the Nucleus at the Dawn of the Century” Bologna, Italy, 29 May – 3 June 2000, WORLD SCIENTIFIC 2012, ISBN: 978-981-281-093-9

Not specialized press

    • Physics World - the member magazine of the Institute of Physics, May 2, 2014 ''How to build a quantum Newton's cradle'', by Tushna Commissariat, reporter for physicsworld.com, article not specialized on my paper: R. Franzosi and R. Vaia, “Newton's cradle analogue with Bose–Einstein condensates”, J. Phys. B, 47 095303 (2014).

    • Elsevier Physics Twitter channel - The paper "On the dispute between Boltzmann and Gibbs entropy" featured on the official Elsevier Physics Twitter channel: https://twitter.com/ElsevierPhysics/status/811122455679012864