Zobrazeno 1 - 10
of 104
pro vyhledávání: '"M. Howard Lee"'
Autor:
M. Howard Lee
Publikováno v:
Acta Polytechnica, Vol 54, Iss 2 (2014)
One generally thinks that chaos can be studied only numerically by aid of the computer. It is however suggested by the theorem of Sharkovskii and Li and Yorke that in Id continuous maps analytical studies are possible. How one might achieve such a go
Externí odkaz:
https://doaj.org/article/73fe7ab2316b494b8a5858d1d4033ab6
Autor:
M. Howard Lee
Publikováno v:
Symmetry, Vol 8, Iss 4, p 22 (2016)
By the method of recurrence relations, the time evolution in a local variable in a harmonic chain is obtained. In particular, the autocorrelation function is obtained analytically. Using this result, a number of important dynamical quantities are obt
Externí odkaz:
https://doaj.org/article/977dec88055a4b4e9be12c4b2db22a20
Autor:
M. Howard Lee
Publikováno v:
Communications in Theoretical Physics. 62:485-496
Sharkovskii proved that, for continuous maps on intervals, the existence of 3-cycle implies the existence of all others. Li and Yorke proved that 3-cycle implies chaos. To establish a domain of uncountable cycles in the logistic map and to understand
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c6ceab0914bdcac33068ec69d610ed1
https://doi.org/10.1088/0253-6102/62/4/06
https://doi.org/10.1088/0253-6102/62/4/06
Autor:
M. Howard Lee
Publikováno v:
International Journal of Modern Physics B. 24:5241-5251
The physical theory for the ergodic hypothesis is premised on the idea that the hypothesis is measurable by scattering experiment. Therewith it proves the hypothesis by measurable properties of the response function. Birkhoff's theorem proves the erg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46fb757c6cc369530e3420bfea91dd34
https://doi.org/10.1142/s0217979210057365
https://doi.org/10.1142/s0217979210057365
Autor:
M. Howard Lee
Publikováno v:
International Journal of Modern Physics B. 23:3992-4000
In recent years the term ergodicity has come into scientific vogue in various physical problems. In particular when a system exibits chaotic behavior, it is often said to be ergodic. Is it a correct usage of the term ergodicity? Does it not mean that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e909847a8a2c80d8c0ef91edb0b2540d
https://doi.org/10.1142/s0217979209063213
https://doi.org/10.1142/s0217979209063213
Autor:
H. Eugene Stanley, M. Howard Lee
Publikováno v:
International Journal of Quantum Chemistry. 5:407-418
We consider a “generalized Heisenberg model”, with a Hamiltonian given by ℋ(D) = –JΣijS(D)j, where the quantities Si are isotropically-interacting D-dimensional classical spins and the summation is restricted to nearest-neighbor pairs of sit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f0ec7f047cb02b336828c44534ae4774
https://doi.org/10.1002/qua.560050744
https://doi.org/10.1002/qua.560050744
Autor:
M. Howard Lee
Publikováno v:
International Journal of Modern Physics B. 22:4572-4578
There are two approaches to understanding Boltzmann's ergodic hypothesis in statistical mechanics. The first one, purely mathematical, goes by way of theorems while the second one relies on physical measurements. By its own nature the former is unive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ced4e15116142f3362eba861174bb726
https://doi.org/10.1142/s0217979208050322
https://doi.org/10.1142/s0217979208050322
Autor:
M. Howard Lee
Publikováno v:
International Journal of Modern Physics B. 21:2546-2556
A condition for ergodicity is derived, applicable to a Hermitian many body model in both the classical and quantum domains. Using this ergodic condition, the validity of the ergodic hypothesis is examined in certain solvable 1d magnetic models. A sim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea03c75c6ed88c9c2953c393199ebb64
https://doi.org/10.1142/s0217979207043877
https://doi.org/10.1142/s0217979207043877
Autor:
M. Howard Lee
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 365:150-154
According to a recently given ergodic condition for Hermitian many-body models the thermodynamic limit and irreversibility are necessary but by themselves not sufficient. The sufficient condition turns out to be the existence of a zero-frequency mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62ce43c4209da0d121469554ce74ded2
https://doi.org/10.1016/j.physa.2006.01.014
https://doi.org/10.1016/j.physa.2006.01.014
Autor:
M. Howard Lee
Publikováno v:
Journal of Physics A: Mathematical and General. 39:4651-4658
Kubo proposed a physical approach to proving the validity of Boltzmann's ergodic hypothesis. It is to perform the time averages on dynamical functions, thereby avoiding the difficulties of measure theory inherent in the classical approach. To perform
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7a7aff9605dc8106b59b8e4883e7543
https://doi.org/10.1088/0305-4470/39/17/s52
https://doi.org/10.1088/0305-4470/39/17/s52