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Reaction-rate theory: fifty years after Kramers
The calculation of rate coefficients is a discipline of nonlinear science of importance to much of physics, chemistry, engineering, and biology. Fifty years after Kramers' seminal paper on thermally…
Driven quantum tunneling
Fluctuation theorems: work is not an observable.
- P. Talkner, E. Lutz, P. Hänggi
- Physics, MathematicsPhysical review. E, Statistical, nonlinear, and…
- 7 March 2007
The characteristic function of the work performed by an external time-dependent force on a Hamiltonian quantum system is identified with the time-ordered correlation function of the exponentiated…
Quantum Transport and Dissipation
Theory of Coherent Transport. Quantization of Transport. Single-Electron Tunneling. Dissipative Quantum Systems. Driven Quantum Systems. Chaos, Coherence, and Dissipation. Indexes.
Bistable systems: Master equation versus Fokker-Planck modeling
Relaxation and fluctuations of nonlinear macroscopic systems, which are frequently described by means of Fokker-Planck or Langevin equations, are studied on the basis of a master equation. The…
Thermodynamic laws in isolated systems.
- S. Hilbert, P. Hänggi, J. Dunkel
- PhysicsPhysical review. E, Statistical, nonlinear, and…
- 22 August 2014
A detailed comparison of the most commonly considered microcanonical entropy definitions shows that, for a broad class of systems that includes all standard classical Hamiltonian systems, only the Gibbs volume entropy fulfills all three laws of thermodynamics simultaneously.
Generalized langevin equations: A useful tool for the perplexed modeller of nonequilibrium fluctuations?
- P. Hänggi
The author identifies some subtle difficulties that one encounters within the framework of nonlinear generalized Langevin equations when describing an open system that is in contact with more than one heat bath.
Giant acceleration of free diffusion by use of tilted periodic potentials.
- P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, J. Rubí, A. Pérez-Madrid
- PhysicsPhysical Review Letters
- 18 June 2001
The effective diffusion coefficient for the overdamped Brownian motion in a tilted periodic potential is calculated in closed analytical form. Universality classes and scaling properties for weak…
Stochastic resonance in biology. How noise can enhance detection of weak signals and help improve biological information processing.
- P. Hänggi
- Computer ScienceChemPhysChem
- 15 March 2002
In nonlinear systems that possess some sort of threshold, random noise plays a beneficial role in enhancing the detection of weak information-carrying signals and finds useful applications in physical, biological, and biomedical contexts.