Abstract
We discuss a simplified version of an ice lattice which consists of an alternating sequence of heavy and light masses. The light masses (protons) are each subject to a bistable potential caused by the heavy masses (oxygens). The protons interact with one another, as do the heavy ions. The interactions between the protons and the oxygens modulate the bistable proton potential. This system is known to exhibit kink and antikink solutions associated with mobile ionic defects accompanied by a lattice distortion. We show that at finite temperatures and in the presence of a constant external field on the protons, the defect velocity is a nonmonotonic function of the temperature, reflecting an interesting interplay of thermal effects (noise) and the constant deterministic external forcing in this nonlinear system. We discuss extensions of the model to higher dimensions, and present preliminary results for the proton motion in such networks.
| Original language | English |
|---|---|
| Pages (from-to) | 163-181 |
| Number of pages | 19 |
| Journal | Journal of Statistical Physics |
| Volume | 70 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - Jan 1993 |
| Externally published | Yes |
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Keywords
- collective motion
- Hydrogen-bonded networks
- multidimensional effects
- proton dynamics
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics
Cite this
Proton dynamics in hydrogen-bonded systems. / Nylund, Eric; Lindenberg, Katja; Tsironis, George.
In: Journal of Statistical Physics, Vol. 70, No. 1-2, 01.1993, p. 163-181.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Proton dynamics in hydrogen-bonded systems
AU - Nylund, Eric
AU - Lindenberg, Katja
AU - Tsironis, George
PY - 1993/1
Y1 - 1993/1
N2 - We discuss a simplified version of an ice lattice which consists of an alternating sequence of heavy and light masses. The light masses (protons) are each subject to a bistable potential caused by the heavy masses (oxygens). The protons interact with one another, as do the heavy ions. The interactions between the protons and the oxygens modulate the bistable proton potential. This system is known to exhibit kink and antikink solutions associated with mobile ionic defects accompanied by a lattice distortion. We show that at finite temperatures and in the presence of a constant external field on the protons, the defect velocity is a nonmonotonic function of the temperature, reflecting an interesting interplay of thermal effects (noise) and the constant deterministic external forcing in this nonlinear system. We discuss extensions of the model to higher dimensions, and present preliminary results for the proton motion in such networks.
AB - We discuss a simplified version of an ice lattice which consists of an alternating sequence of heavy and light masses. The light masses (protons) are each subject to a bistable potential caused by the heavy masses (oxygens). The protons interact with one another, as do the heavy ions. The interactions between the protons and the oxygens modulate the bistable proton potential. This system is known to exhibit kink and antikink solutions associated with mobile ionic defects accompanied by a lattice distortion. We show that at finite temperatures and in the presence of a constant external field on the protons, the defect velocity is a nonmonotonic function of the temperature, reflecting an interesting interplay of thermal effects (noise) and the constant deterministic external forcing in this nonlinear system. We discuss extensions of the model to higher dimensions, and present preliminary results for the proton motion in such networks.
KW - collective motion
KW - Hydrogen-bonded networks
KW - multidimensional effects
KW - proton dynamics
UR - http://www.scopus.com/inward/record.url?scp=21144482970&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=21144482970&partnerID=8YFLogxK
U2 - 10.1007/BF01053961
DO - 10.1007/BF01053961
M3 - Article
VL - 70
SP - 163
EP - 181
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
SN - 0022-4715
IS - 1-2
ER -