Giant acceleration of free diffusion by use of tilted periodic potentials.

نویسندگان

  • P Reimann
  • C Van den Broeck
  • H Linke
  • P Hänggi
  • J M Rubi
  • A Pérez-Madrid
چکیده

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 thermal noise are identified near the threshold tilt where deterministic running solutions set in. In this regime the diffusion may be greatly enhanced, as compared to free thermal diffusion with, for a realistic experimental setup, an enhancement of up to 14 orders of magnitude.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Correlation between diffusion and coherence in Brownian motion on a tilted periodic potential

The paper studies the overdamped motion of Brownian particles in a tilted saw-tooth potential. The dependencies of the diffusion coefficient and coherence level of Brownian transport on temperature, tilting force, and the shape of the potential are analyzed. It is demonstrated that at low temperatures the coherence level of Brow-nian transport stabilizes in the extensive domain of the tilting f...

متن کامل

Diffusion in tilted periodic potentials: Enhancement, universality, and scaling.

An exact analytical expression for the effective diffusion coefficient of an overdamped Brownian particle in a tilted periodic potential is derived for arbitrary potentials and arbitrary strengths of the thermal noise. Near the critical tilt (threshold of deterministic running solutions) a scaling behavior for weak thermal noise is revealed and various universality classes are identified. In co...

متن کامل

- m at . s of t ] 2 7 A ug 2 00 2 On the amplification of diffusion by direct current

The diffusive motion of overdamped Browninan particles in tilted piecewise linear potentials is considered. It is shown that the enhancement of diffusion coefficient by an external static force is quite sensitive to the symmetry of periodic potential. The factor of randomness as a function of the tilting force exhibits a plateau-like behaviour in the region of low temperatures. Various aspects ...

متن کامل

On the amplification of diffusion on piecewise linear potentials by direct current

The diffusive motion of overdamped Brownian particles in tilted piecewise linear potentials is considered. It is shown that the enhancement of diffusion coefficient by an external static force is quite sensitive to the symmetry of periodic potential. Another new effect found is that the factor of randomness as a function of the tilting force exhibits a plateau-like behaviour in the region of lo...

متن کامل

Weak disorder strongly improves the selective enhancement of diffusion in a tilted periodic potential.

The diffusion of an overdamped Brownian particle in a tilted periodic potential is known to exhibit a pronounced enhancement over the free thermal diffusion within a small interval of tilt values. Here we show that weak disorder in the form of small, time-independent deviations from a strictly spatially periodic potential may further boost this diffusion peak by orders of magnitude. Our general...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Physical review letters

دوره 87 1  شماره 

صفحات  -

تاریخ انتشار 2001