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Description
  • We investigate the distribution of work performed on a Brownian particle in a time-dependent asymmetric potential well. The potential has a harmonic component with a time-dependent force constant and a time-independent logarithmic barrier at the origin. For an arbitrary driving protocol, the problem of solving the Fokker-Planck equation for the joint probability density of work and particle position is reduced to the solution of the Riccati differential equation. For a particular choice of the driving protocol, an exact solution of the Riccati equation is presented. An asymptotic analysis of the resulting expression yields the tail behavior of the work distribution for small and large work values. In the limit of a vanishing logarithmic barrier, the work distribution for the breathing parabola model is obtained.
  • We investigate the distribution of work performed on a Brownian particle in a time-dependent asymmetric potential well. The potential has a harmonic component with a time-dependent force constant and a time-independent logarithmic barrier at the origin. For an arbitrary driving protocol, the problem of solving the Fokker-Planck equation for the joint probability density of work and particle position is reduced to the solution of the Riccati differential equation. For a particular choice of the driving protocol, an exact solution of the Riccati equation is presented. An asymptotic analysis of the resulting expression yields the tail behavior of the work distribution for small and large work values. In the limit of a vanishing logarithmic barrier, the work distribution for the breathing parabola model is obtained. (en)
Title
  • Work distribution in a time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis
  • Work distribution in a time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis (en)
skos:prefLabel
  • Work distribution in a time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis
  • Work distribution in a time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis (en)
skos:notation
  • RIV/00216208:11320/13:10189645!RIV14-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, S
http://linked.open...iv/cisloPeriodika
  • 7
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 117459
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/13:10189645
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • equations; diffusion; propagator (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [B07820307384]
http://linked.open...i/riv/nazevZdroje
  • Journal of Physics A: Mathematical and Theoretical
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 46
http://linked.open...iv/tvurceVysledku
  • Chvosta, Petr
  • Ryabov, Artem
  • Maass, Philipp
  • Dierl, Marcel
  • Einax, Mario
http://linked.open...ain/vavai/riv/wos
  • 000314707300002
issn
  • 1751-8113
number of pages
http://bibframe.org/vocab/doi
  • 10.1088/1751-8113/46/7/075002
http://localhost/t...ganizacniJednotka
  • 11320
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