### Abstract

We extend the transfer matrix method of one-dimensional hard core fluids placed between confining walls for that case where the particles can pass each other and at most two layers can form. We derive an eigenvalue equation for a quasi-one-dimensional system of hard squares confined between two parallel walls, where the pore width is between σ and 3σ (σ is the side length of the square). The exact equation of state and the nearest neighbor distribution functions show three different structures: a fluid phase with one layer, a fluid phase with two layers, and a solid-like structure where the fluid layers are strongly correlated. The structural transition between differently ordered fluids develops continuously with increasing density, i.e., no thermodynamic phase transition occurs. The high density structure of the system consists of clusters with two layers which are broken with particles staying in the middle of the pore.

Original language | English |
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Article number | 224503 |

Journal | The Journal of Chemical Physics |

Volume | 142 |

Issue number | 22 |

DOIs | |

Publication status | Published - Jun 14 2015 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

### Cite this

**Beyond the single-file fluid limit using transfer matrix method : Exact results for confined parallel hard squares.** / Gurin, Péter; Varga, S.

Research output: Contribution to journal › Article

*The Journal of Chemical Physics*, vol. 142, no. 22, 224503. https://doi.org/10.1063/1.4922154

}

TY - JOUR

T1 - Beyond the single-file fluid limit using transfer matrix method

T2 - Exact results for confined parallel hard squares

AU - Gurin, Péter

AU - Varga, S.

PY - 2015/6/14

Y1 - 2015/6/14

N2 - We extend the transfer matrix method of one-dimensional hard core fluids placed between confining walls for that case where the particles can pass each other and at most two layers can form. We derive an eigenvalue equation for a quasi-one-dimensional system of hard squares confined between two parallel walls, where the pore width is between σ and 3σ (σ is the side length of the square). The exact equation of state and the nearest neighbor distribution functions show three different structures: a fluid phase with one layer, a fluid phase with two layers, and a solid-like structure where the fluid layers are strongly correlated. The structural transition between differently ordered fluids develops continuously with increasing density, i.e., no thermodynamic phase transition occurs. The high density structure of the system consists of clusters with two layers which are broken with particles staying in the middle of the pore.

AB - We extend the transfer matrix method of one-dimensional hard core fluids placed between confining walls for that case where the particles can pass each other and at most two layers can form. We derive an eigenvalue equation for a quasi-one-dimensional system of hard squares confined between two parallel walls, where the pore width is between σ and 3σ (σ is the side length of the square). The exact equation of state and the nearest neighbor distribution functions show three different structures: a fluid phase with one layer, a fluid phase with two layers, and a solid-like structure where the fluid layers are strongly correlated. The structural transition between differently ordered fluids develops continuously with increasing density, i.e., no thermodynamic phase transition occurs. The high density structure of the system consists of clusters with two layers which are broken with particles staying in the middle of the pore.

UR - http://www.scopus.com/inward/record.url?scp=84934915405&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84934915405&partnerID=8YFLogxK

U2 - 10.1063/1.4922154

DO - 10.1063/1.4922154

M3 - Article

AN - SCOPUS:84934915405

VL - 142

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 22

M1 - 224503

ER -