## Abstract

A generalized thermodynamic theory is presented which may be applied to microrheological models. The purpose of this theory is to offer a simple framework for many types of modelling at various levels of description.

The essential elements of our approach are: a specification of the subsystem in which the reversible storage of energy takes place, the way of coupling of this subsystem to the environment and a proper definition of reversible and irreversible variables. The resulting set of equations, containing a stress tensor expression a microscopic evolution equation and a microscopic equation of state are expressed in a matrix form.

Some applications of the theory to well known microrheological models are discussed and directions for further developments are indicated.

The essential elements of our approach are: a specification of the subsystem in which the reversible storage of energy takes place, the way of coupling of this subsystem to the environment and a proper definition of reversible and irreversible variables. The resulting set of equations, containing a stress tensor expression a microscopic evolution equation and a microscopic equation of state are expressed in a matrix form.

Some applications of the theory to well known microrheological models are discussed and directions for further developments are indicated.

Original language | English |
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Title of host publication | Integration of Theory and Applications in Applied Mechanics |

Subtitle of host publication | Choice of papers presented at the First National Mechanics Congress, April 2–4, 1990, Rolduc, Kerkrade, The Netherlands |

Editors | J.F. Dijksman, F.T.M. Nieuwstadt |

Place of Publication | Dordrecht |

Publisher | Kluwer Academic Publishers |

Pages | 25-36 |

Number of pages | 12 |

ISBN (Electronic) | 978-94-009-2125-2 |

ISBN (Print) | 978-94-010-7456-8 |

DOIs | |

Publication status | Published - 1990 |

Event | 1st National Mechanics Congress 1990 - Rolduc, Kerkrade, Netherlands Duration: 2 Apr 1990 → 4 Apr 1990 Conference number: 1 |

### Conference

Conference | 1st National Mechanics Congress 1990 |
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Country | Netherlands |

City | Rolduc, Kerkrade |

Period | 2/04/90 → 4/04/90 |

## Keywords

- Hydrodynamic force
- Rheological model
- Free energy function
- Thermodynamic force
- Dumbbell model