# Open system trajectories specify fluctuating work but not heat.

@article{Talkner2016OpenST, title={Open system trajectories specify fluctuating work but not heat.}, author={Peter Talkner and Peter H{\"a}nggi}, journal={Physical review. E}, year={2016}, volume={94 2-1}, pages={ 022143 } }

Based on the explicit knowledge of a Hamiltonian of mean force, the classical statistical mechanics and equilibrium thermodynamics of open systems in contact with a thermal environment at arbitrary interaction strength can be formulated. Yet, even though the Hamiltonian of mean force uniquely determines the equilibrium phase space probability density of a strongly coupled open system, the knowledge of this probability density alone is insufficient to determine the Hamiltonian of mean force…

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## References

SHOWING 1-10 OF 28 REFERENCES

### Thermodynamics and an Introduction to Thermostatistics

- Physics
- 1960

GENERAL PRINCIPLES OF CLASSICAL THERMODYNAMICS. The Problem and the Postulates. The Conditions of Equilibrium. Some Formal Relationships, and Sample Systems. Reversible Processes and the Maximum Work…

### Thermodynamics and an Introduction to Thermostatistics, 2nd Edition

- Physics
- 1985

DESCRIPTION The only text to cover both thermodynamic and statistical mechanics--allowing students to fully master thermodynamics at the macroscopic level. Presents essential ideas on critical…

### I and i

- EducationBMJ : British Medical Journal
- 2001

There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.

### Phys

- Rev. Lett. 116, 020601
- 2016

### Physica (Utrecht) 32

- 27
- 1966

### Stochastic Energetics, Springer, Lecture Notes in Physics 799, 1 – 322 (Springer

- Bwerlin Heidelberg,
- 2010

### Autobiographical Notes

- HistoryPerspectives in biology and medicine
- 1958

My father went to a trade school for two years and then became a tool-and-die maker and most of his life he worked for "Jaroslaw's Erste Glimmerwarenfabrik" , later renamed "Scherb und Schwer G.m.b.H.", in Berlin.

### Theory of open quantum systems

- Physics
- 2002

A quantum dissipation theory is constructed with the system–bath interaction being treated rigorously at the second-order cumulant level for both reduced dynamics and initial canonical boundary…

### Nonequilibrium Thermodynamics (Dover Publications

- New York,
- 1984

### Prog

- Theor. Phys. Supp. 130, 17
- 1998