Self-repelling

Definitions

  • Webster's Revised Unabridged Dictionary
    • a Self-repelling Made up of parts, as molecules or atoms, which mutually repel each other; as, gases are self-repelling .
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Chambers's Twentieth Century Dictionary
    • adj Self-repelling repelling by its own inherent power
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Etymology

Chambers's Twentieth Century Dictionary
A.S. self, seolf, sylf; Dut. zelf, Ger. selbe, Goth. silba.

Usage

In literature:

He was self-repelled, as though he had undergone some degradation or was intrinsically foul.
"Martin Eden" by Jack London
Hewett recovered his self-control as soon as Clara repelled him.
"The Nether World" by George Gissing
Such a man is repellent, because he is self-absorbed, conceited, contemptuous.
"The Silent Isle" by Arthur Christopher Benson
They were only to repel force by right of self-defence.
"A Critical Exposition of the Popular 'Jihád'" by Moulavi Gerágh Ali
On one occasion, with feelings of timorous self-abasement, he ventured to remonstrate with his friend, but the effort was repelled.
"Post Haste" by R.M. Ballantyne
After all, every human being must be a self-contained and repellent entity; and no two of them can ever feel alike or think alike.
"Vistas of New York" by Brander Matthews
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In science:

Abstract: In this paper we present a new and flexible method to show that, in one dimension, various self-repellent random walks converge to self-repellent Brownian motion in the limit of weak interaction after appropriate space-time scaling.
Weak-interaction limits for one-dimensional random polymers
In this way we show that the self-repellent random walk large deviation rate function for the empirical drift of the path converges to the selfrepellent Brownian motion large deviation rate function after appropriate scaling with the interaction parameters.
Weak-interaction limits for one-dimensional random polymers
We consider two examples of a weak interaction limit: (1) vanishing self-repellence, (2) diverging step variance.
Weak-interaction limits for one-dimensional random polymers
In example (1), we recover our earlier scaling results for simple random walk with vanishing self-repellence and show how these can be extended to random walk with steps that have zero mean and a finite exponential moment.
Weak-interaction limits for one-dimensional random polymers
Moreover, we show that these scaling results are stable against adding self-attraction, provided the self-repellence dominates.
Weak-interaction limits for one-dimensional random polymers
Self-repellent random walk and Brownian motion, invariance principles, large deviations, scaling limits, universality.
Weak-interaction limits for one-dimensional random polymers
This self-repellence comes from the excluded-volume-effect: two molecules cannot occupy the same space.
Weak-interaction limits for one-dimensional random polymers
The self-repellence causes the polymer to spread itself out more than it would do in the absence of self-repellence.
Weak-interaction limits for one-dimensional random polymers
The law Qβ n is called the n-polymer measure with strength of self-repellence β .
Weak-interaction limits for one-dimensional random polymers
The law bQβ T is called the T -polymer measure with strength of self-repellence β .
Weak-interaction limits for one-dimensional random polymers
Two weak interaction limits for self-repellent polymers.
Weak-interaction limits for one-dimensional random polymers
Weak interaction limit for self-repellent and self-attractive polymers.
Weak-interaction limits for one-dimensional random polymers
Our new method is simple, works for a very large class of random walks in a variety of self-repelling and self-attracting situations, and allows for a coupled limit in which n → ∞ and β ↓ 0, respectively, σ → ∞ together.
Weak-interaction limits for one-dimensional random polymers
The first of these problems is related to the motion of superconductor flux lines in a sample with columnar defects, the second to the motion of a self-repelling polymer chain and other interesting problems (see the cited references).
Random Matrices close to Hermitian or unitary: overview of methods and results
Self-repelling random walk with directed edges on Z.
Continuous time `true' self-avoiding random walk on Z
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