| Naslov: | Fluctuating number of energy levels in mixed-type lemon billiards |
|---|
| Avtorji: | ID Lozej, Črt (Avtor)
ID Lukman, Dragan (Avtor)
ID Robnik, Marko (Avtor) |
|---|
| Datoteke: |  Fluctuating_number_of_energy_levels_Lozej_2021.pdf (1,40 MB)
MD5: A880A454D0D72B679F8EDC5EC14D172E
 https://www.mdpi.com/2624-8174/3/4/55
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Znanstveno delo |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | UM - Univerza v Mariboru
|
|---|
| Opis: | In this paper, the fluctuation properties of the number of energy levels (mode fluctuation) are studied in the mixed-type lemon billiards at high lying energies. The boundary of the lemon billiards is defined by the intersection of two circles of equal unit radius with the distance 2B between the centers, as introduced by Heller and Tomsovic. In this paper, the case of two billiards, defined by B = 0.1953, 0.083, is studied. It is shown that the fluctuation of the number of energy levels follows the Gaussian distribution quite accurately, even though the relative fraction of the chaotic part of the phase space is only 0.28 and 0.16, respectively. The theoretical description of spectral fluctuations in the Berry-Robnik picture is discussed. Also, the (golden mean) integrable rectangular billiard is studied and an almost Gaussian distribution is obtained, in contrast to theory expectations. However, the variance as a function of energy, E, behaves as - E, in agreement with the theoretical prediction by Steiner. |
|---|
| Ključne besede: | nonlinear dynamics, quantum chaos, mixed-type systems, energy level statistics, lemon billiards, billiards |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Poslano v recenzijo: | 15.07.2021 |
|---|
| Datum sprejetja članka: | 16.08.2021 |
|---|
| Datum objave: | 02.10.2021 |
|---|
| Založnik: | MDPI |
|---|
| Leto izida: | 2021 |
|---|
| Št. strani: | Str. 888-902 |
|---|
| Številčenje: | Letn. 3, Št. 4 |
|---|
| PID: | 20.500.12556/DKUM-86152  |
|---|
| UDK: | 530.145 |
|---|
| COBISS.SI-ID: | 78873347 |
|---|
| DOI: | 10.3390/physics3040055 |
|---|
| ISSN pri članku: | 2624-8174 |
|---|
| Datum objave v DKUM: | 13.10.2023 |
|---|
| Število ogledov: | 518 |
|---|
| Število prenosov: | 24 |
|---|
| Metapodatki: |    |
|---|
| Področja: | Ostalo
|
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Skupna ocena: | (0 glasov) |
|---|
| Vaša ocena: | Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. |
|---|
| Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
