Annalen der Physik

Cover image for Annalen der Physik

February 2008

Volume 17, Issue 2-3

Pages 61–189

  1. Contents

    1. Top of page
    2. Contents
    3. Recent and forthcoming publication in Annalen der Physik
    4. Biographies
    5. Original Papers
    6. Historical Review
    1. Contents: Ann. Phys. 2-3/2008 (pages 61–63)

      Article first published online: 4 FEB 2008 | DOI: 10.1002/andp.200817002

  2. Recent and forthcoming publication in Annalen der Physik

    1. Top of page
    2. Contents
    3. Recent and forthcoming publication in Annalen der Physik
    4. Biographies
    5. Original Papers
    6. Historical Review
  3. Biographies

    1. Top of page
    2. Contents
    3. Recent and forthcoming publication in Annalen der Physik
    4. Biographies
    5. Original Papers
    6. Historical Review
    1. Max Planck (1858–1947) (pages 65–67)

      Article first published online: 4 FEB 2008 | DOI: 10.1002/andp.200810283

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      Max Planck was awarded the Nobel Prize in Physics 1918 “in recognition of the services he rendered to the advancement of physics by his discovery of energy quanta”

  4. Original Papers

    1. Top of page
    2. Contents
    3. Recent and forthcoming publication in Annalen der Physik
    4. Biographies
    5. Original Papers
    6. Historical Review
    1. Max Planck – a life for thermodynamics (pages 73–87)

      I. Müller

      Article first published online: 28 DEC 2007 | DOI: 10.1002/andp.200710274

      Every problem that Max Planck approached during his long and distinguished career turned out, one way or another, to be motivated by thermodynamics and considerations of entropy. This was so, in particular, when Planck formulated the correct formula for the spectrum of black-body radiation, whose interpretation made him the earliest pioneer of quantum mechanics. With his formulation of the third law of thermodynamics he gave the entropy a specific and definite value, which – to his own surprise – was closely related to the action quantumh, which we now call Planck's constant.

    2. On the nature of thermodynamic extremum principles: The case of maximum efficiency and maximum work (pages 88–100)

      T. Jahnke, J. Birjukov and G. Mahler

      Article first published online: 17 JAN 2008 | DOI: 10.1002/andp.200710275

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      Extremum principles are at the heart of theoretical physics. For a complete definition one does not only need to specify the variable to be extremized but also the respective functional space and its parametrization. Here we use a control-theoretical approach to clarify the meaning of two maximum principles in the context of cyclic thermodynamic processes.

    3. Planck, units, and modern metrology (pages 101–114)

      Jeff L. Flowers and Brian W. Petley

      Article first published online: 17 JAN 2008 | DOI: 10.1002/andp.200710277

      Max Planck was an early proponent of the use of units based on fundamental constants, his particular system included one involving the Planck constant which emerged from his work on black-body radiation. In this review we discuss a number of such systems and how they have a strong interplay with modern metrology and the SI system of units.

    4. Feedback control in flashing ratchets (pages 115–129)

      E.M. Craig, N.J. Kuwada, B.J. Lopez and H. Linke

      Article first published online: 17 JAN 2008 | DOI: 10.1002/andp.200710276

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      A flashing ratchet uses a time-dependent, spatially periodic, asymmetric potential to rectify thermal motion of Brownian particles. Here we review approaches to improve the particle flux in this type of Brownian motor by feedback strategies that switch the potential based on the instantaneous particle distribution. We review strategies that are based on the force experienced by the particles, and introduce a new feedback strategy that is based on the expected displacement that can be achieved. Langevin dynamics simulations show that this maximum net displacement strategy performs better than force-based strategies in the limit of very small particle numbers and not too high temperatures. We also review the effects of time delay and noisy channels on feedback control, and perform a feasibility analysis of an experimental system that can realize feedback control using a computer-controlled, scanning-line optical trap and suspended microspheres.

    5. Option pricing theory for financial assets with memory (pages 130–141)

      M. Schulz

      Article first published online: 4 FEB 2008 | DOI: 10.1002/andp.200710280

      In the present paper the effects of a non-Markovian asset price model on the corresponding European option prices are analyzed. This model considers drift terms which are non-local in time, so that memory effects appear. As the main result, a generalized Black-Scholes equation considering the whole history of the asset price evolution is presented.

    6. The Fokker-Planck equation, and its application in plasma physics (pages 142–157)

      A.G. Peeters and D. Strintzi

      Article first published online: 4 FEB 2008 | DOI: 10.1002/andp.200710279

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      In a classic paper Max Planck derived an equation, now known as the Fokker-Planck equation, which plays a central role in the statistics description of many body problems. The equation is used in many branches of physics as well as chemistry and biology to describe a variety of different processes. In plasma physics, this equation forms the corner stone for the description of the Coulomb collisions. Furthermore, it is pointed out that also the so-called quasi-linear theory is closely related to the Fokker-Planck equation.

    7. Recent developments in quantum key distribution: Theory and practice (pages 158–175)

      W. Mauerer, W. Helwig and Ch. Silberhorn

      Article first published online: 4 FEB 2008 | DOI: 10.1002/andp.200710284

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      Quantum key distribution is among the foremost applications of quantum mechanics, both in terms of fundamental physics and as a technology on the brink of commercial deployment. Starting from principal schemes and initial proofs of unconditional security for perfect systems, much effort has gone into providing secure schemes which can cope with numerous experimental imperfections unavoidable in real world implementations. In this paper, a comparison of various schemes and protocols is provided.

  5. Historical Review

    1. Top of page
    2. Contents
    3. Recent and forthcoming publication in Annalen der Physik
    4. Biographies
    5. Original Papers
    6. Historical Review

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