Microscopic models of Brownian ratchets

2003 ◽  
Author(s):  
Christian Van den Broeck ◽  
Ryoichi Kawai ◽  
P. Meurs

Author(s):  
Antony N. Beris ◽  
Brian J. Edwards

This much-needed monograph presents a systematic, step-by-step approach to the continuum modeling of flow phenomena exhibited within materials endowed with a complex internal microstructure, such as polymers and liquid crystals. By combining the principles of Hamiltonian mechanics with those of irreversible thermodynamics, Antony N. Beris and Brian J. Edwards, renowned authorities on the subject, expertly describe the complex interplay between conservative and dissipative processes. Throughout the book, the authors emphasize the evaluation of the free energy--largely based on ideas from statistical mechanics--and how to fit the values of the phenomenological parameters against those of microscopic models. With Thermodynamics of Flowing Systems in hand, mathematicians, engineers, and physicists involved with the theoretical study of flow behavior in structurally complex media now have a superb, self-contained theoretical framework on which to base their modeling efforts.



2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hyun Min Lee

Abstract Motivated by the recent excess in the electron recoil from XENON1T experiment, we consider the possibility of exothermic dark matter, which is composed of two states with mass splitting. The heavier state down-scatters off the electron into the lighter state, making an appropriate recoil energy required for the Xenon excess even for the standard Maxwellian velocity distribution of dark matter. Accordingly, we determine the mass difference between two component states of dark matter to the peak electron recoil energy at about 2.5 keV up to the detector resolution, accounting for the recoil events over ER = 2 − 3 keV, which are most significant. We include the effects of the phase-space enhancement and the atomic excitation factor to calculate the required scattering cross section for the Xenon excess. We discuss the implications of dark matter interactions in the effective theory for exothermic dark matter and a massive Z′ mediator and provide microscopic models realizing the required dark matter and electron couplings to Z′.







2001 ◽  
Vol 40 (7) ◽  
pp. 603-621 ◽  
Author(s):  
Patrice Chantrenne ◽  
Martin Raynaud


1999 ◽  
Vol 121-122 ◽  
pp. 376-381 ◽  
Author(s):  
Eric Brunet ◽  
Bernard Derrida


2001 ◽  
Vol 01 (04) ◽  
pp. L239-L244 ◽  
Author(s):  
ANDREW ALLISON ◽  
DEREK ABBOTT

We present evidence to support the idea that Stochastic Resonance (SR) and Brownian Ratchets (BR) share underlying physical principles. We examine the special case of a discrete-time ratchet, called Parrondo's games, and show that the addition of noise increases the rate of flow in the ratchet up to a certain point, after which the addition of further noise causes the rate of flow of decrease. We argue that the rate of flow of particles in a BR is analogous to the rate of flow of information in the case of SR.



2005 ◽  
Vol 72 (5) ◽  
Author(s):  
L. Hartmann ◽  
J. Calsamiglia ◽  
W. Dür ◽  
H.-J. Briegel
Keyword(s):  


2005 ◽  
Vol 72 (2) ◽  
Author(s):  
A. V. Dodonov ◽  
S. S. Mizrahi ◽  
V. V. Dodonov




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