Abstract
We consider a diatomic chain of heavy ions coupled by hydrogen bonds which are sufficiently strong compared with other interactions in the system. In this case, each proton in the hydrogen bond is subject to a single-minimum potential resulting from its interaction with nearest-neighbor heavy ions through the Morse potential that contains soft anharmonicity. This diatomic chain of nonlinearly coupled masses admits discrete breather solutions in the gap of the phonon spectrum. Simple analytical arguments accompanying explicit solutions that demonstrate the existence of the gap breather with only one type of symmetry, namely the odd-parity pattern centered at a hydrogen-bonded proton, are present. These arguments are supported by the numerically exact procedure using the anticontinuous limit. Some other multi-breather solutions in the gap are also obtained exactly from the anticontinuous limit.
| Original language | English |
|---|---|
| Pages (from-to) | 251-258 |
| Number of pages | 8 |
| Journal | Physica B: Condensed Matter |
| Volume | 296 |
| Issue number | 1-3 |
| DOIs | |
| Publication status | Published - Feb 2001 |
| Externally published | Yes |
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Keywords
- Anticontinuous limit
- Diatomic lattices
- Discrete breathers
- Hydrogen-bonded chains
ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics
Cite this
Discrete gap breathers in chains with strong hydrogen bonding. / Zolotaryuk, A. V.; Maniadis, P.; Tsironis, G. P.
In: Physica B: Condensed Matter, Vol. 296, No. 1-3, 02.2001, p. 251-258.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Discrete gap breathers in chains with strong hydrogen bonding
AU - Zolotaryuk, A. V.
AU - Maniadis, P.
AU - Tsironis, G. P.
PY - 2001/2
Y1 - 2001/2
N2 - We consider a diatomic chain of heavy ions coupled by hydrogen bonds which are sufficiently strong compared with other interactions in the system. In this case, each proton in the hydrogen bond is subject to a single-minimum potential resulting from its interaction with nearest-neighbor heavy ions through the Morse potential that contains soft anharmonicity. This diatomic chain of nonlinearly coupled masses admits discrete breather solutions in the gap of the phonon spectrum. Simple analytical arguments accompanying explicit solutions that demonstrate the existence of the gap breather with only one type of symmetry, namely the odd-parity pattern centered at a hydrogen-bonded proton, are present. These arguments are supported by the numerically exact procedure using the anticontinuous limit. Some other multi-breather solutions in the gap are also obtained exactly from the anticontinuous limit.
AB - We consider a diatomic chain of heavy ions coupled by hydrogen bonds which are sufficiently strong compared with other interactions in the system. In this case, each proton in the hydrogen bond is subject to a single-minimum potential resulting from its interaction with nearest-neighbor heavy ions through the Morse potential that contains soft anharmonicity. This diatomic chain of nonlinearly coupled masses admits discrete breather solutions in the gap of the phonon spectrum. Simple analytical arguments accompanying explicit solutions that demonstrate the existence of the gap breather with only one type of symmetry, namely the odd-parity pattern centered at a hydrogen-bonded proton, are present. These arguments are supported by the numerically exact procedure using the anticontinuous limit. Some other multi-breather solutions in the gap are also obtained exactly from the anticontinuous limit.
KW - Anticontinuous limit
KW - Diatomic lattices
KW - Discrete breathers
KW - Hydrogen-bonded chains
UR - http://www.scopus.com/inward/record.url?scp=0035248710&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035248710&partnerID=8YFLogxK
U2 - 10.1016/S0921-4526(00)00806-1
DO - 10.1016/S0921-4526(00)00806-1
M3 - Article
AN - SCOPUS:0035248710
VL - 296
SP - 251
EP - 258
JO - Physica B: Condensed Matter
JF - Physica B: Condensed Matter
SN - 0921-4526
IS - 1-3
ER -