### Abstract

We show that non-equilibrium steady states of the one-dimensional exactly-solved XX model can be characterized by the variational principle of free energy of a long range interaction and that they cannot be a KMS state for any C*-dynamical system of the UHF algebra.

Original language | English |
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Pages (from-to) | 905-923 |

Number of pages | 19 |

Journal | Reviews in Mathematical Physics |

Volume | 15 |

Issue number | 8 |

DOIs | |

Publication status | Published - Oct 1 2003 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Reviews in Mathematical Physics*,

*15*(8), 905-923. https://doi.org/10.1142/S0129055X03001850

**Variational principle for non-equilibrium steady states of the XX model.** / Matsui, Taku; Ogata, Yoshiko.

Research output: Contribution to journal › Article

*Reviews in Mathematical Physics*, vol. 15, no. 8, pp. 905-923. https://doi.org/10.1142/S0129055X03001850

}

TY - JOUR

T1 - Variational principle for non-equilibrium steady states of the XX model

AU - Matsui, Taku

AU - Ogata, Yoshiko

PY - 2003/10/1

Y1 - 2003/10/1

N2 - We show that non-equilibrium steady states of the one-dimensional exactly-solved XX model can be characterized by the variational principle of free energy of a long range interaction and that they cannot be a KMS state for any C*-dynamical system of the UHF algebra.

AB - We show that non-equilibrium steady states of the one-dimensional exactly-solved XX model can be characterized by the variational principle of free energy of a long range interaction and that they cannot be a KMS state for any C*-dynamical system of the UHF algebra.

UR - http://www.scopus.com/inward/record.url?scp=0346372599&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346372599&partnerID=8YFLogxK

U2 - 10.1142/S0129055X03001850

DO - 10.1142/S0129055X03001850

M3 - Article

AN - SCOPUS:0346372599

VL - 15

SP - 905

EP - 923

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

SN - 0129-055X

IS - 8

ER -