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We present an approximate analytical expression for escape rates of time-dependent driven stochastic processes with an absorbing boundary such as the driven leaky integrate-and-fire model for neural spiking. The novel approximation is based on a discrete state Markovian modeling of the full long-time dynamics with time-dependent rates. It is valid in a wide… (More)

- Changho Kim, Eok Kyun Lee, Peter Hänggi, Peter Talkner
- Physical review. E, Statistical, nonlinear, and…
- 2007

We propose a numerical integration scheme to solve stochastic differential equations driven by Poissonian white shot noise. Our formula, which is based on an integral equation, which is equivalent to the stochastic differential equation, utilizes a discrete time approximation with fixed integration time step. We show that our integration formula approaches… (More)

Two fundamental ingredients play a decisive role in the foundation of fluctuation relations: the principle of microreversibility and the fact that thermal equilibrium is described by the Gibbs canonical ensemble. Building on these two pillars the reader is guided through a self-contained exposition of the theory and applications of quantum fluctuation… (More)

- Z Guttenberg, A Rathgeber, +5 authors P Talkner
- Physical review. E, Statistical, nonlinear, and…
- 2004

The flow profile in a capillary gap and the pumping efficiency of an acoustic micropump employing surface acoustic waves is investigated both experimentally and theoretically. Ultrasonic surface waves on a piezoelectric substrate strongly couple to a thin liquid layer and generate a quadrupolar streaming pattern within the fluid. We use fluorescence… (More)

- Thomas Frommelt, Marcin Kostur, Melanie Wenzel-Schäfer, Peter Talkner, Peter Hänggi, Achim Wixforth
- Physical review letters
- 2008

Mixing presents a notoriously difficult problem in small amounts of fluids. Herein, surface acoustic waves provide a convenient technique to generate time-dependent flow patterns. These flow patterns can be optimized in such a way that advected particles are mixed most efficiently in the fluid within a short time compared to the time pure diffusion would… (More)

- Eli Pollak, Peter Talkner
- Chaos
- 2005

A brief history is presented, outlining the development of rate theory during the past century. Starting from Arrhenius [Z. Phys. Chem. 4, 226 (1889)], we follow especially the formulation of transition state theory by Wigner [Z. Phys. Chem. Abt. B 19, 203 (1932)] and Eyring [J. Chem. Phys. 3, 107 (1935)]. Transition state theory (TST) made it possible to… (More)

- Peter Talkner, Eric Lutz, Peter Hänggi
- Physical review. E, Statistical, nonlinear, and…
- 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 system's Hamiltonian. A similar expression is obtained for the averaged exponential work which is related to the free energy difference of equilibrium systems by… (More)

- PETER TALKNER
- 2005

(Received ?? and in revised form ??) We propose a Finite-Element algorithm to compute free capillary surface shapes that are significantly deformed. The algorithm is thoroughly explained by physical as well as mathematical arguments. We show that it is robust in the sense that it yields the correct surface shape starting with quite different ones, without… (More)

- P Sekhar Burada, Peter Hänggi, Fabio Marchesoni, Gerhard Schmid, Peter Talkner
- Chemphyschem : a European journal of chemical…
- 2009

Diffusive transport of particles or, more generally, small objects, is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions, transport is controlled both by the fluctuation statistics of the jittering objects and the phase space available to their dynamics. Consequently, the study of… (More)

The statistics of transitions between the metastable states of a periodically driven bistable Brownian oscillator are investigated on the basis of a two-state description by means of a master equation with time-dependent rates. The theoretical results are compared with extensive numerical simulations of the Langevin equation for a sinusoidal driving force.… (More)