K J Challis
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Explore the profile of K J Challis including associated specialties, affiliations and a list of published articles.
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13
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2
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Recent Articles
1.
Lopez-Alamilla N, Jack M, Challis K
Phys Rev E
. 2020 Nov;
102(4-1):042405.
PMID: 33212597
We consider enhanced diffusion for Brownian motion on a tilted periodic potential. Expressing the effective diffusion in terms of the eigenvalue band structure, we establish a connection between band gaps...
2.
Jack M, Lopez-Alamilla N, Challis K
Phys Rev E
. 2020 Jul;
101(6-1):062123.
PMID: 32688509
The thermodynamic uncertainty relation (TUR) is a universal constraint for nonequilibrium steady states that requires the entropy production rate to be greater than the relative magnitude of current fluctuations. It...
3.
Lopez-Alamilla N, Jack M, Challis K
Phys Rev E
. 2019 Sep;
100(1-1):012404.
PMID: 31499933
Diffusion on a free-energy landscape is a fundamental framework for describing molecular motors. In the landscape framework, energy conversion between different forms of energy, e.g., chemical and mechanical, is explicitly...
4.
Lopez-Alamilla N, Jack M, Challis K
J Theor Biol
. 2018 Nov;
462:321-328.
PMID: 30465778
Stochastic trajectories measured in single-molecule experiments have provided key insights into the microscopic behaviour of cyclic motor proteins. However, the fundamental free-energy landscapes of motor proteins are currently only able...
5.
Challis K
Phys Rev E
. 2018 Jul;
97(6-1):062158.
PMID: 30011495
We present a tight-binding derivation of a discrete-continuous description of mechanochemical coupling in a molecular motor. Our derivation is based on the continuous diffusion equation for overdamped Brownian motion on...
6.
Lopez-Alamilla N, Jack M, Challis K
Phys Rev E
. 2018 May;
97(3-1):032419.
PMID: 29776077
We present a method for reconstructing the free-energy landscape of overdamped Brownian motion on a tilted periodic potential. Our approach exploits the periodicity of the system by using the k-space...
7.
Challis K
Phys Rev E
. 2017 Jan;
94(6-1):062123.
PMID: 28085380
We present a numerical study of the tight-binding approach to overdamped Brownian motion on a tilted periodic potential. In the tight-binding method the probability density is expanded on a basis...
8.
Nguyen P, Challis K, Jack M
Phys Rev E
. 2016 Dec;
94(5-1):052127.
PMID: 27967196
We present a general method for transforming the continuous diffusion equation describing overdamped Brownian motion on a time-independent potential with multiple deep wells to a discrete master equation. The method...
9.
Nguyen P, Challis K, Jack M
Phys Rev E
. 2016 Mar;
93(2):022124.
PMID: 26986305
We present a theoretical treatment of overdamped Brownian motion on a time-independent bichromatic periodic potential with spatially fast- and slow-changing components. In our approach, we generalize the Wannier basis commonly...
10.
Challis K, Jack M
Phys Rev E Stat Nonlin Soft Matter Phys
. 2014 Feb;
88(6):062136.
PMID: 24483415
We present a theoretical investigation of thermal fluctuation statistics in a molecular motor. Energy transfer in the motor is described using a multidimensional discrete master equation with nearest-neighbor hopping. In...