Brownian Ratchet (exercise framed by Feynman's Lectures, l. 46)

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Homework Help Overview

The discussion revolves around the Brownian ratchet, a device proposed by Smoluchowski and analyzed by Feynman, which consists of a paddle in an ideal gas at temperature T1 and a ratchet at temperature T2. The problem explores the behavior of the system under different temperature conditions, particularly focusing on the rotational dynamics and energy transfer involved.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the implications of temperature differences on the system's rotation, with one participant outlining a detailed approach to calculating average force, torque, and angular velocity. Others express uncertainty about the outcomes and seek further clarification on the problem setup and assumptions.

Discussion Status

The discussion is ongoing, with participants exploring various interpretations of the problem. Some have provided detailed calculations and reasoning, while others are questioning the assumptions made regarding the system's behavior, particularly under equilibrium conditions.

Contextual Notes

Participants note the constraints of the problem, including the requirement to analyze the system under both equal and unequal temperature conditions, and the implications of the second law of thermodynamics in relation to the ratchet's operation.

  • #31
I now have another new favorite Feynman chapter.......he does his version of the fluctuation-dissipation theorem in 46-2 of this lecture. I think it probably not too different from the original sources Einstein-Smoluchowslki.
 
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  • #32
Hak said:
Ok, thanks, I'll try the simpler case first. I will submit my result shortly.
I'm looking forward to it.
 
  • #33
bob012345 said:
I'm looking forward to it.
I am working on it, between tomorrow and the day after tomorrow I will publish my process. Thanks.
 
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