L. Valvo, A. Carati, Numerical study of the Transverse
Diffusion coefficient for a one component model of plasma,
Chaos 32, 033103 (2022)); doi: https://doi.org/10.1063/5.0068674. Download a preprint
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version, while the published version can be read
at the following link.
A. Carati, L. Galgani, Einstein Classical Program
Revived , Organism 5, 53 (2022); doi:
10.13133/2532-5876/17626. Download a preprint
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version.
F. Gangemi, R. Gangemi, A. Carati, L. Galgani, Thermal
fluctuations in a realistic ionic-crystal model, Physica
A 586, 126463 (2022); doi:https://doi.org/10.1016/j.physa.2021.126463.
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at the following link.
A. Carati, M. Stroppi, Non uniqueness of non runaway
solutions of Abraham—Lorentz—Dirac equation in an external
laser pulse , Physica Scripta 96, 055216 (2021); doi:
https://doi.org/10.1088/1402-4896/abe90d. Download a preprint
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version.
A. Carati, L. Galgani, F. Gangemi, R. Gangemi, Electronic
trajectories in atomic physics: The chemical bond in the H_2^+
ion , Chaos 30, 063109 (2020); doi:
https://doi.org/10.1063/5.0002703. Download a preprint
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version.
A. Carati, L. Galgani, F. Gangemi, R. Gangemi Approach to
equilibrium via Tsallis distributions in a realistic ionic-crystal
model and in the FPU model, Eur. Phys. J. Spec. Top. 229,
743–749(2020). Doi: https://doi.org/10.1140/epjst/e2020-900203-y. Download a preprint
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A. Carati, L. Galgani, F. Gangemi, R. Gangemi, Relaxation times and ergodic
properties in a realistic ionic-crystal model, and the modern form of the FPU
problem , Physica A 532 , 121911 (2019); doi:
https://doi.org/10.1016/j.physa.2019.121911. Download a preprint
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version.
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
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version.
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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
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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.
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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
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version.
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.
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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.
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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
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version.
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
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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
.
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
.
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.
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link .
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.
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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 .
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.
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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.
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.
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
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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).
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G. Camelio, A. Carati, L. Galgani, Classical Helium atom with
radiation reaction, Chaos 22, 023111 (2012).
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A. Carati, A. Maiocchi, Exponentially long
stability times for a
nonlinear lattice in the thermodynamical limit, Comm. Math. Phys.
314 , 129-161 (2012).
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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).
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A. Carati, F. Benfenati, L. Galgani, Relaxation properties in
classical diamagnetism, Chaos 21, 023134 (2011).
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A. Maiocchi, A. Carati, Relaxation times for
Hamiltonian systems, Comm. Math. Phys. 297, 427-445 (2010).
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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).
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D. Bambusi, A. Carati, T. Penati, Boundary effects
on the dynamics of
chains of coupled oscillators, Nonlinearity 22, 923-946 (2009).
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A. Carati, S. Cacciatori, L. Galgani Discrete
matter, far fields and dark matter, Europhysics Letters 83,
59002 (2008).
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A. Carati, On the fractal dimension of orbits compatible
with the Tsallis statistics, Physica A 387, 1491-1503 (2008).
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A. Carati, An averaging theorem for Hamiltonian
dynamical systems in the thermodynamic limit, Journal of Statistical
physics 128, 1057-1077 (2007).
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M. Marino, A. Carati, L. Galgani: Classical light
dispersion theory on a regular lattice, Annals of Physics 322,
799-823 (2007).
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A. Carati, L. Galgani, A. Giorgilli, S. Paleari,
FPU phenomenon for generic initial data, Phys. Rev. E
76, 022104 (2007).
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A. Carati, On the existence of scattering solutions for the
Abraham-Lorentz-Dirac equation, Disc. and Cont. Dyn. Syst. B,
6, 471-480 (2006)
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A. Carati, On the definition of temperature using
time--averages, Physica A 369, 417-431 (2006).
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A. Carati, L. Galgani, Metastability in specific heat
measurements: simulations with the FPU model, Europhysics Letters
75, 528-534 (2006).
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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.
A. Carati, Thermodynamics and time-average,
Physica A 348 , 110-120 (2005). Download the
ps version or the
PDF version.
A. Carati, L. Galgani, A. Giorgilli: Dynamical
Systems and Thermodynamics to appear in Encyclopedia of
Mathematical Physics, Elsevier (Oxford). Download the ps version.
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.
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.
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.
A. Carati, L. Galgani: Reply to a comment by G. Cavalleri
and E. Cesaroni , Phys. Rev. E 68, 028102 (2003).
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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.
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.
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.
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.
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.
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.
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.
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
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
A. Carati, L. Galgani: On the specific heat of the Fermi-Pasta-Ulam
systems, Journal of Statistical Physics 94, 859 -869(1999).
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PDF version.
A. Carati: Pair production in classical electrodynamics,
Found. of Phys. 28, 843-853 (1998). Download the
ps or the
PDF version.
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.
G. Benettin, A. Carati, G. Gallavotti: A rigorous
implementation of the Jeans-Landau-Teller approximations
for adiabatic invariants, Nonlinearity 10, 65-79 (1995).
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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.
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
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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
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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.
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.