A simple model for Brownian motion leading to the Langevin equation

被引:22
作者
de Grooth, BG [1 ]
机构
[1] Univ Twente, Dept Appl Phys, NL-7500 AE Enschede, Netherlands
关键词
D O I
10.1119/1.19111
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
A simple one-dimensional model is presented for the motion of a Brownian particle. It is shown how the collisions between a Brownian particle and its surrounding molecules lead to the Langevin equation, the power spectrum of the stochastic force, and the equipartition of kinetic energy. (C) 1999 American Association of Physics Teachers.
引用
收藏
页码:1248 / 1252
页数:5
相关论文
共 21 条
[1]   SINGLE MOLECULES OBSERVED BY NEAR-FIELD SCANNING OPTICAL MICROSCOPY [J].
BETZIG, E ;
CHICHESTER, RJ .
SCIENCE, 1993, 262 (5138) :1422-1425
[2]   ATOMIC FORCE MICROSCOPE [J].
BINNIG, G ;
QUATE, CF ;
GERBER, C .
PHYSICAL REVIEW LETTERS, 1986, 56 (09) :930-933
[3]   SURFACE STUDIES BY SCANNING TUNNELING MICROSCOPY [J].
BINNING, G ;
ROHRER, H ;
GERBER, C ;
WEIBEL, E .
PHYSICAL REVIEW LETTERS, 1982, 49 (01) :57-61
[4]   Molecular stick-slip motion revealed by opening DNA with piconewton forces [J].
Bockelmann, U ;
EssevazRoulet, B ;
Heslot, F .
PHYSICAL REVIEW LETTERS, 1997, 79 (22) :4489-4492
[5]   FLUCTUATION AND DISSIPATION IN BROWNIAN-MOTION [J].
GILLESPIE, DT .
AMERICAN JOURNAL OF PHYSICS, 1993, 61 (12) :1077-1083
[6]   Thermal noise limitations on micromechanical experiments [J].
Gittes, F ;
Schmidt, CF .
EUROPEAN BIOPHYSICS JOURNAL WITH BIOPHYSICS LETTERS, 1998, 27 (01) :75-81
[7]   NUMERICAL-INTEGRATION OF STOCHASTIC DIFFERENTIAL-EQUATIONS [J].
GREINER, A ;
STRITTMATTER, W ;
HONERKAMP, J .
JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (1-2) :95-108
[8]  
HANGGI P, 1990, REV MOD PHYS, V62, P251, DOI 10.1103/RevModPhys.62.251
[9]   Folding-unfolding transitions in single titin molecules characterized with laser tweezers [J].
Kellermayer, MSZ ;
Smith, SB ;
Granzier, HL ;
Bustamante, C .
SCIENCE, 1997, 276 (5315) :1112-1116
[10]   Paul Langevin's 1908 paper ''On the theory of Brownian motion'' [J].
Lemons, DS ;
Gythiel, A .
AMERICAN JOURNAL OF PHYSICS, 1997, 65 (11) :1079-1081