Deterministic Smoluchowski-Feynman ratchets driven by chaotic noise

Chew, Lock Yue

doi:10.1103/physreve.85.016212

Cited by 5 publications

(3 citation statements)

References 49 publications

(97 reference statements)

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“…Each behavior leads to extinction on its own, but the population is able to survive by alternating between these individually maladaptive behaviors. The population thus exhibits Parrondo's paradox, an abstraction of the phenomenon of flashing Brownian ratchets in which alternating between two losing strategies produces a strategy that wins . Furthermore, unlike other ecological manifestations of the paradox, the success of nomadic‐colonial alternation does not require any exogenous environmental variation.…”

Section: Introductionmentioning

confidence: 99%

Predator Dormancy is a Stable Adaptive Strategy due to Parrondo's Paradox

et al. 2019

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Many predators produce dormant offspring to escape harsh environmental conditions, but the evolutionary stability of this adaptation has not been fully explored. Like seed banks in plants, dormancy provides a stable competitive advantage when seasonal variations occur, because the persistence of dormant forms under harsh conditions compensates for the increased cost of producing dormant offspring. However, dormancy also exists in environments with minimal abiotic variation—an observation not accounted for by existing theory. Here it is demonstrated that dormancy can out‐compete perennial activity under conditions of extensive prey density fluctuation caused by overpredation. It is shown that at a critical level of prey density fluctuations, dormancy becomes an evolutionarily stable strategy. This is interpreted as a manifestation of Parrondo's paradox: although neither the active nor dormant forms of a dormancy‐capable predator can individually out‐compete a perennially active predator, alternating between these two losing strategies can paradoxically result in a winning strategy. Parrondo's paradox may thus explain the widespread success of quiescent behavioral strategies such as dormancy, suggesting that dormancy emerges as a natural evolutionary response to the self‐destructive tendencies of overpredation and related biological phenomena.

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Section: Introductionmentioning

confidence: 99%

Predator Dormancy is a Stable Adaptive Strategy due to Parrondo's Paradox

et al. 2019

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“…The systems in this category appear in the form of various ratchet configurations which have been applied to depict the underlying mechanism of molecular motors and pumps [5]. One notable ingredient in these ratchet systems is the temporal correlation (within the environment), which acts through the nonequilibrium effect of symmetry breaking to convert thermal energy to useful work [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Effects of correlation in an information ratchet with finite tape

Cheong²,

Pradana³

et al. 2023

Phys. Rev. E

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With the finite-tape autonomous information ratchet modeled by He et al. [Phys. Rev. E 105, 054131 (2022)], we recast the information processing second law, giving a tighter bound on the work extracted, in terms of the marginal bit-ratchet distribution defined from the joint tape-ratchet distribution. The marginal distribution is further utilized to probe and elucidate the conditions that lead to the presence of equilibrium and nonequilibrium stationary states in general, which are related to the effects of correlation. Applying our analysis to two designs of this information ratchet, where correlations within manifest differently, we uncover the mathematical condition for equilibrium stationary states for information ratchets that harness correlation, to identify them for engine operation during the transient phase.

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“…The systems in this category appear in the form of various ratchet configurations which have been applied to depict the underlying mechanism of molecular motors and pumps [61]. One notable ingredient in these ratchet systems is the temporal correlation (within the environment), which acts through the nonequilibrium effect of symmetry breaking to convert thermal energy to useful work [62][63][64]. In both informationprocessing formalisms discussed earlier, correlation is found to enhance the efficiency of the ratchet systems.…”

Section: What Can Constitute An Information Reservoir Then?mentioning

confidence: 99%

Work extraction from information ratchet in the classical and quantum regimes

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Deterministic Smoluchowski-Feynman ratchets driven by chaotic noise

Cited by 5 publications

References 49 publications

Predator Dormancy is a Stable Adaptive Strategy due to Parrondo's Paradox

Predator Dormancy is a Stable Adaptive Strategy due to Parrondo's Paradox

Effects of correlation in an information ratchet with finite tape

Work extraction from information ratchet in the classical and quantum regimes

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