# On the dynamics of a polaron in a classical chain with finite temperature

## Abstract

In today’s literature, polaron states in classical molecular chains are mostly calculated at zero temperature. It is assumed that the properties of these states change little if the temperature is different from zero but is much less than the characteristic energy equal to the depth of the polaron level. By numerical experiments, we demonstrate that the temperature decay of a polaron depends on the chain length. The longer the chain, the lower the critical temperature above which the charge is in a delocalized state, and, conversely, the shorter the chain, the higher the decay temperature of a polaron. The results of numerical experiments lead to a conclusion that, in an indefinitely long chain, polaron states decay at temperatures differing arbitrarily little from zero.

- Authors:

- Russian Academy of Sciences, Institute of Mathematical Problems of Biology (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22472430

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 120; Journal Issue: 1; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CHAINS; COMPUTERIZED SIMULATION; CRITICAL TEMPERATURE; DEPTH; ENERGY LEVELS; LENGTH; POLARONS; TEMPERATURE ZERO K

### Citation Formats

```
Lakhno, V. D., E-mail: lak@impb.psn.ru, and Fialko, N. S., E-mail: fialka@impb.psn.ru.
```*On the dynamics of a polaron in a classical chain with finite temperature*. United States: N. p., 2015.
Web. doi:10.1134/S106377611501015X.

```
Lakhno, V. D., E-mail: lak@impb.psn.ru, & Fialko, N. S., E-mail: fialka@impb.psn.ru.
```*On the dynamics of a polaron in a classical chain with finite temperature*. United States. doi:10.1134/S106377611501015X.

```
Lakhno, V. D., E-mail: lak@impb.psn.ru, and Fialko, N. S., E-mail: fialka@impb.psn.ru. Thu .
"On the dynamics of a polaron in a classical chain with finite temperature". United States.
doi:10.1134/S106377611501015X.
```

```
@article{osti_22472430,
```

title = {On the dynamics of a polaron in a classical chain with finite temperature},

author = {Lakhno, V. D., E-mail: lak@impb.psn.ru and Fialko, N. S., E-mail: fialka@impb.psn.ru},

abstractNote = {In today’s literature, polaron states in classical molecular chains are mostly calculated at zero temperature. It is assumed that the properties of these states change little if the temperature is different from zero but is much less than the characteristic energy equal to the depth of the polaron level. By numerical experiments, we demonstrate that the temperature decay of a polaron depends on the chain length. The longer the chain, the lower the critical temperature above which the charge is in a delocalized state, and, conversely, the shorter the chain, the higher the decay temperature of a polaron. The results of numerical experiments lead to a conclusion that, in an indefinitely long chain, polaron states decay at temperatures differing arbitrarily little from zero.},

doi = {10.1134/S106377611501015X},

journal = {Journal of Experimental and Theoretical Physics},

number = 1,

volume = 120,

place = {United States},

year = {Thu Jan 15 00:00:00 EST 2015},

month = {Thu Jan 15 00:00:00 EST 2015}

}