PUBLICATIONS BY  ANDREA CARATI


Preprints

  1. A. Carati, M. Zuin , A. Maiocchi , M. Marino , E. Martines , L. Galgani, Density limit in a first principles model of a magnetized plasma in the Debye-Hückel approximation, preprint (2011). Download the PDF version.

Papers

  1. A. Carati, L. Galgani, A. Maiocchi, F. Gangemi, R. Gangemi, The FPU Problem as a Statistical-mechanical Counterpart of the KAM Problem, and Its Relevance for the Foundations of Physics ,Regular and Chaotic Dynamics, 23 (6), 704-719 (2018); doi: 10.1134/S1560354718060060. Download a preprint PDF version. The final publication is available at the following link
  2. A. Carati, L. Galgani, A. Maiocchi, F. Gangemi, R. Gangemi, Classical infrared spectra of ionic crystals and their relevance for statistical mechanics Physica A 506 , pp 1-10 (2018); doi: https://doi.org/10.1016/j.physa.2018.04.070. Download a preprint PDF version. The final publication is available at the following link
  3. A. Carati, A. Ponno, Chopping time of the FPU α-model, Journ. Stat. Phys. 170, pp 883--894 (2018); doi: 10.1007/s10955-018-1962-8. Download a preprint PDF version.
  4. A. Carati, A. Maiocchi, L. Galgani, Statistical thermodynamics for metaequilibrium or metastable states, Meccanica 52, pp 1295 -- 1307 (2017); doi: 10.1007/s11012-016-0490-3. Download a preprint PDF version.
  5. A. Carati, A. Maiocchi, L. Galgani, F. Gangemi e R. Gangemi, Persistence of regular motions for nearly integrable Hamiltonian systems in the thermodynamic limit, Regular Chaotic Dynamics 21, (2016) 660--664; DOI: 10.1134/S156035471606006X. Download the PDF version.
  6. F. Gangemi, R. Gangemi, A. Carati, A. Maiocchi e L. Galgani, Infrared optical properties of α quartz by molecular dynamics simulations, Europhys. Lett. 116, (2016) 37001; doi: 10.1209/0295-5075/116/37001. Download the PDF version.
  7. A. Carati, A. Maiocchi, Replacement of the Lorentz law for the shape of the spectral lines in the infrared region, J. Opt. Soc. Am. A 33 , Issue 6, pp. 1193-1197 (2016); doi: 10.1364/JOSAA.33.001193. Download a preprint PDF version.
  8. A. Carati, A. Maiocchi, L. Galgani, G. Amati, The FPU system as a model for glasses, Math. Phys. Anal. Geom. 18 , 31: (2015); doi: 10.1007/s11040-015-9201-x. Download a preprint PDF version. The final publication is available at the following link .
  9. A. Carati, M. Marino, D. Brogioli, Thermodynamic study of a distiller-electrochemical cell system for energy production from low temperature heat sources, Energy 93 , pages 984 - 993 (2015). Download a preprint PDF version. The final publication is available at the following link .
  10. F. Gangemi, A. Carati, L. Galgani, R. Gangemi e A. Maiocchi, Agreement of classical Kubo theory with the infrared dispersion curves n(ω) of ionic crystals , Europhys. Lett. 110, (2015) 47003; doi: 10.1209/0295-5075/110/47003. Download the PDF version. The final publication is available at the following link .
  11. A. Carati, L. Galgani, Classical microscopic theory of dispersion, emission and absorption of light in dielectrics , Eur. Phys. J. D 68, 307 (2014); doi: 10.1140/epjd/e2014-50549-8. Download the PDF version. The final publication is available at the following link .
  12. M. Marino, L. Misuri, A. Carati, D. Brogioli, Boosting the voltage of a salinity-gradient-power electrochemical cell by means of complex-forming solutions, Appl. Phys. Lett. 105, 033901 (2014); doi: http://dx.doi.org/10.1063/1.4890976. Download the PDF version. Copyright (2014) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The published version of this paper can be found at the following link .
  13. M. Marino, L. Misuri, A. Carati, D. Brogioli, Proof of concept of a zinc-silver battery for the extraction of energy from a concentration difference, Energies 7, 3664-3683 (2014); doi:10.3390/en7063664. Download the PDF version.
  14. A. Maiocchi, D. Bambusi, A. Carati, An Averaging Theorem for FPU in the Thermodynamic Limit , J. Stat. Phys. 155, 300 (2014). Download the PDF version.
  15. A. Lerose, A. Sanzeni, A. Carati and L. Galgani, Classical microscopic theory of polaritons in ionic crystals , Eur. Phys. J. D 68 , 35 (2014). Download the PDF version.
  16. A. Carati, F. Benfenati , A. Maiocchi , M. Zuin and L. Galgani Chaoticity threshold in magnetized plasmas: Numerical results in the weak coupling regime, Chaos 24, 013118 (2014). Download the PDF version. Copyright (2014) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The article may be found at the following link
  17. A.M. Maiocchi, A. Carati, A. Giorgilli, A series expansion for the time autocorrelation of dynamical variables, J. Stat. Phys. 148 , 1054-1071 (2012). DOI:10.1007/s10955-012-0575-x (2012). Download the PDF version.
  18. G. Camelio, A. Carati, L. Galgani, Classical Helium atom with radiation reaction, Chaos 22, 023111 (2012). Download the PDF version.
  19. A. Carati, A. Maiocchi, Exponentially long stability times for a nonlinear lattice in the thermodynamical limit, Comm. Math. Phys. 314 , 129-161 (2012). Download the PDF version.
  20. A. Carati, M. Zuin , A. Maiocchi , M. Marino , E. Martines , L. Galgani, Transition from order to chaos, and density limit, in magnetized plasmas, Chaos 22 , 033124 (2012). Download the PDF version.
  21. A. Carati, F. Benfenati, L. Galgani, Relaxation properties in classical diamagnetism, Chaos 21, 023134 (2011). Download the PDF version.
  22. A. Maiocchi, A. Carati, Relaxation times for Hamiltonian systems, Comm. Math. Phys. 297, 427-445 (2010). Download the PDF version.
  23. A. Carati, L. Galgani, F. Santolini. On the energy transfer to small scales in a discrete model of one-dimensional turbulence, Chaos 19, 023123 (2009). Download the PDF version.
  24. D. Bambusi, A. Carati, T. Penati, Boundary effects on the dynamics of chains of coupled oscillators, Nonlinearity 22, 923-946 (2009). Download the PDF version.
  25. A. Carati, S. Cacciatori, L. Galgani Discrete matter, far fields and dark matter, Europhysics Letters 83, 59002 (2008). Download the PDF version.
  26. A. Carati, On the fractal dimension of orbits compatible with the Tsallis statistics, Physica A 387, 1491-1503 (2008). Download the PDF version.
  27. A. Carati, An averaging theorem for Hamiltonian dynamical systems in the thermodynamic limit, Journal of Statistical physics 128, 1057-1077 (2007). Download the PDF version.
  28. M. Marino, A. Carati, L. Galgani: Classical light dispersion theory on a regular lattice, Annals of Physics 322, 799-823 (2007). Download the PDF version.
  29. A. Carati, L. Galgani, A. Giorgilli, S. Paleari, FPU phenomenon for generic initial data, Phys. Rev. E 76, 022104 (2007). Download the PDF version.
  30. A. Carati, On the existence of scattering solutions for the Abraham-Lorentz-Dirac equation, Disc. and Cont. Dyn. Syst. B, 6, 471-480 (2006) Download the PDF version.
  31. A. Carati, On the definition of temperature using time--averages, Physica A 369, 417-431 (2006). Download the PDF version.
  32. A. Carati, L. Galgani, Metastability in specific heat measurements: simulations with the FPU model, Europhysics Letters 75, 528-534 (2006). Download the PDF version.
  33. A. Carati, L. Galgani, A. Giorgilli, The Fermi-Pasta-Ulam problem as a challenge for the foundations of physics, Chaos 15, 015107 (2005). Download the ps version or the PDF version.
  34. A. Carati, Thermodynamics and time-average, Physica A 348 , 110-120 (2005). Download the ps version or the PDF version.
  35. A. Carati, L. Galgani, A. Giorgilli: Dynamical Systems and Thermodynamics to appear in Encyclopedia of Mathematical Physics, Elsevier (Oxford). Download the ps version.
  36. A. Carati, L. Galgani: A critical remark on Planck's model of black-body, Int. Journ. of Mod. Phys. B 18 , 549-553 (2004). Download the ps version.
  37. A. Carati, P. Cipriani, L. Galgani: On the definition of temperature in FPU systems,  Journal of Statistical Physics 115, 1119-1130 (2004). Download the ps   version.
  38. A. Carati, L. Galgani: Nonradiating normal modes in a classical many-body model of matter-radiation interaction, Nuovo Cimento 118 B, 839-849 (2003).  Download the ps or the PDF version.
  39. A. Carati, L. Galgani: Reply to a comment by G. Cavalleri and E. Cesaroni , Phys. Rev. E 68, 028102 (2003). Download the ps or the PDF version.
  40. A. Carati, L. Galgani, B. Pozzi:  Levy flights in Landau-Teller model of molecular collision , Phys. Rev. Letts. 90, 010601 (2003). Download the ps  or the PDF  version.
  41. A. Carati :  Center  manifold of unstable periodic orbits of helium atom: a numerical evidence, Dis. and Cont..  Dyn. Syst. B 3,  97-104 (2003). Download the ps  or the PDF  version.
  42. D. Bambusi, A.  Carati, A. Ponno: The nonlinear Schrödinger equation as a resonant normal form , Dis. and Cont. Dyn. Syst.B 2, 109-128 (2002). Download the ps or the PDF  version.
  43. A. Carati, L. Galgani, A. Giorgilli, A. Ponno: The Fermi-Pasta-Ulam Problem, Nuovo Cimento B 117 , 1017-1026 (2002). Download the ps or the PDF version.
  44. A. Carati: An extension of Eliezer's theorem on the Abraham-Lorentz-Dirac equation, Journ. of Phys. A: Math. Gen. 34, 5937-5944 (2001). Download the ps or the PDF version.
  45. A. Carati, L. Galgani: The theory of dynamical systems and the relations between classical and quantum mechanics. Foundations of Physics 31,  69--87 (2001). Download the ps or the PDF version.
  46. A. Carati, L. Galgani:  Planck's formula and glassy behaviour in classical nonequilibrium statistical mechanics, Physica A 280, 105-114 (2000). Download the ps or the PDF version.
  47. A. Carati, L. Galgani: Analogue of Planck's formula and effective temperature in classical statistical mechanics far from equilibrium. Phys. Rev. E 61, 4791 (2000). Download the ps or the PDF version
  48. A. Carati, L. Galgani: Non locality of classical electrodynamics of point particles and violation of Bell's inequalities. Nuovo Cimento B, 114, N. 5 (1999). Download the ps or the PDF version
  49. A. Carati, L. Galgani: On the specific heat of the Fermi-Pasta-Ulam systems, Journal of Statistical Physics 94, 859 -869(1999). Download the ps or the PDF version.
  50. A. Carati: Pair production in classical electrodynamics, Found. of Phys.  28,  843-853 (1998). Download the ps or the PDF version.
  51. G. Benettin, A. Carati, F. Fassò: On the conservation of adiabatic invariants for a system of coupled rotators, Physica D 104,  479-505 (1997) . Download the ps or the PDF version.
  52. G. Benettin, A. Carati,  G. Gallavotti: A rigorous implementation of the Jeans-Landau-Teller approximations for adiabatic invariants, Nonlinearity 10, 65-79 (1995). Download the ps version.
  53. A. Carati, P. Delzanno,L. Galgani and J. Sassarini: Nonuniqueness properties of the physical solutions of the Lorentz--Dirac equation NonLinearity 8, pp 65--79 (1995). Download the ps or the PDF version.
  54. A. Carati, L. Galgani: Asymptotic character of the series of classical electrodynamics and an application to bremsstrahlung, Nonlinearity 6, 905-914 (1993). Download the PDF version.

Proceedings

  1. D. Bambusi, A. Carati, A. Maiocchi, A. Maspero. Some analytic results on the FPU paradox , Fields Institute Communications 75, 2015, Pages 235-254. Download the PDF version.
  2. A. Carati, L. Galgani, Faraway matter as a possible substitute for dark matter, in Chaos, diffusion and non integrability in Hamiltonian Systems: Applications to Astronomy P. M. Cincotta, C. M. Giordano & C. Efthymiopoulos eds., AAA (La Plata, 2012). Download the PDF version.
  3. A. Carati, S. Cacciatori, L. Galgani Far fields, from electrodynamics to gravitation, and the dark matter problem, in Chaos in astronomy, P. Patzis ed., Springer Verlag (Berlin, 2008). Download the PDF version.
  4. A. Carati, Compatibility between dynamics and Tsallis statistics, in Complexity, metastability, and nonextensivity: An International Conference, S. Abe, H. Herrmann, P. Quarati, A. Rapisarda, C. Tsallis editors, Series: AIP Conference Proceedings, Vol. 965, Springer Verlag (Berlin,2007).Download the PDF version.
  5. G. Benettin, A. Carati, L. Galgani, A. Giorgilli: The Fermi-Pasta-Ulam problem and the metastability perspective, in The Fermi-Pasta-Ulam Problem: A Status Report, G. Gallavotti editor, Lecture Notes in Physics , Vol. 728, Springer Verlag (Berlin,2007). Download the PDF version.
  6. A. Carati, Time--averages and the heat theorem , in Complexity, Metastability and Nonextensivity, C. Beck, A. Rapisarda and C. Tsallis eds., The science and Culture Series: The Physics, World Scientific (Singapore, 2005).Download the PDF version.
  7. A. Carati, L. Galgani: Stellar Dynamics and Molecular Dynamics: Possible Analogies, in Galaxies and Chaos, G. Countopoulos and N. Voglis eds., Lecture Notes in Physics n. 626, Springer (Berlin, 2003). Download the ps or the PDF version.
  8. A. Carati, L. Galgani, B. Pozzi: The Problem of the Rate of Thermalization and the Relations between Classical and Quantum Mechanics, in Mathematical Models and Methods for Smart Materials M. Fabrizio et al. eds., Series of Advances in Mathematics n. 62, World Scientific (Singapore, 2002). Download the ps or the PDF version.
  9. A. Carati , L. Galgani:  Einstein's nonconventional conception of photon, and the modern theory of dynamical system , in Chance in Physics, J. Brismont et al. eds., Lecture Notes in Physics n. 574, Springer (Berlin 2001). Download the ps or the PDF version.
  10. A. Carati, L. Galgani: The black body-spectrum, and the theory of dynamical systems. in Chaos in Astrophysics World Scientific Edt. (Singapore 2000). Download the ps or the PDF version.
  11. A. Carati, L. Galgani: Recent progress on the Abraham-Lorentz-Dirac equation, in New Perspective in the physics of mesoscopic system, S. De Martino te al. eds., World Scientific (Singapore, 1997). Download the ps or the PDF version.
  12. A. Carati: A Lagrangian formulation for the Abraham-Lorentz-Dirac equation, in Simmetry and perturbation theory, D. Bambusi and G. Gaeta eds., Quaderno del GNFM n. 54 (1998). Download the ps or the PDF version.
  13. D. Bambusi, A. Carati, L. Galgani, D. Noja, J. Sassarini: Dynamical aspects of classical electron theory , J. P. Dowling ed., Plenum Press (New York, 1996). Download the ps or the PDF version.
  14. A. Carati, L. Galgani, J. Sassarini: Recent results on the Abraham-Lorentz-Dirac equation in Quantum-like models and coherent effects, R. Fedele and P.K. Shukla eds., World Scientific (Singapore, 1995). Download the ps or the PDF version.

Last update 24 December 2016. HOME