1998
DOI: 10.1103/physreve.57.100
|View full text |Cite|
|
Sign up to set email alerts
|

Classical specific heat of an atomic lattice at low temperature, revisited

Abstract: We present results of a standard (constant energy) molecular dynamics simulation of a Lennard-Jones lattice at low temperature. The kinetic energy fluctuations exhibit an anomalous behavior, due to a dynamics which is only weakly chaotic. Such a dynamics does not allow the use of the usual microcanonical equilibrium formula to compute the specific heat. We devise a different method for computing the specific heat, which exploits just the weak chaos at low temperature. The result is that at low temperature this… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

1
6
0

Year Published

1999
1999
2020
2020

Publication Types

Select...
5
1

Relationship

0
6

Authors

Journals

citations
Cited by 10 publications
(7 citation statements)
references
References 16 publications
1
6
0
Order By: Relevance
“…Experiments in computer in case of Lenard-Jones lattice 16 also confirm this result ͑simulation time up to 10 7 time steps͒; however, the temperature beyond which it occurs is almost close to the melting temperature of the lattice. On the other hand, the result of computer simulations in case of FPU model 17 shows that the specific heat always tends to its classical value at very high temperature.…”
Section: B High-temperature Specific Heatsupporting
confidence: 78%
See 2 more Smart Citations
“…Experiments in computer in case of Lenard-Jones lattice 16 also confirm this result ͑simulation time up to 10 7 time steps͒; however, the temperature beyond which it occurs is almost close to the melting temperature of the lattice. On the other hand, the result of computer simulations in case of FPU model 17 shows that the specific heat always tends to its classical value at very high temperature.…”
Section: B High-temperature Specific Heatsupporting
confidence: 78%
“…This is one of the characteristic features of a nonlinear oscillation where the frequency depends on the amplitude of oscillation. The solution of the linearized version of this model and even other models 16,17 lacks this exact nonperturbative behavior of ͑0͒ as a function of A. For Im͑t͒ Ͻ KЈ / ͑0͒ , u s ͑0͒ ͑t͒ ͓=u ͑0͒ ͑t͒cos as͔ is Fourier expanded as 19 u s ͑0͒ ͑t͒ = ͚ 0 ϱ A n ͓cos͑ n t − as͒ + cos͑ n t + as͔͒, where A n = kK q n+1/2 1+q 2n+1 and n = ͑2n +1͒ ͑0͒ 2K .…”
Section: ͑20͒mentioning
confidence: 99%
See 1 more Smart Citation
“…The next step was made in a series of papers by a group of people around Tenenbaum (see [31]). The general approach was in principle the same as that of Livi et al The relevant difference was however the choice of the subsystem, of which the energy fluctuations should be calculated.…”
mentioning
confidence: 99%
“…In the FPU problem one has a classical approach, in which initial data are considered with only some of the normal modes excited (typically, the low frequency ones), and the result found is that, for low enough specific energies, up to extremely long times energy remains confined among a certain group of low frequency modes. Already in the year 1972, in a paper of Cercignani et al [17] by the title "Zero-point energy in classical non-linear mechanics" it was however proposed that even in the FPU problem one might meet with situations of the type conceived by Nernst. Numerical studies on the variant of the FPU problem with Gibbs distributed initial data came later, with results that were variously interpreted (see 18,19). Finally a case was considered, which involves a situation very similar to the one discussed here [20], where one measures the specific heat of an FPU system (with an initial Gibbs distribution), put in contact with a heat reservoir.…”
Section: Discussionmentioning
confidence: 99%