Scaling of hysteresis loop of interacting polymers under a periodic force

Mishra, Rakesh; Mishra, Garima; Giri, Debasis; Kumar, Sanjay

doi:10.1063/1.4809985

Cited by 16 publications

(31 citation statements)

References 54 publications

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“…We have checked this for a self avoiding polymer in three dimensions. Therefore, our two-dimensional model captures the essential physics of dynamic transitions, and we expect values for the exponents α and β similar to those obtained by Kumar et al [21,23].…”

Section: Modelsupporting

confidence: 82%

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Unzipping DNA by a periodic force: Hysteresis loop area and its scaling

Kapri

2014

Phys. Rev. E

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Using Monte Carlo simulations, we study the hysteresis in unzipping of a double stranded DNA whose ends are subjected to a time dependent periodic force with frequency ($\omega$) and amplitude ($G$). For the static force, i.e., $\omega \to 0$, the DNA is in equilibrium with no hysteresis. On increasing $\omega$, the area of the hysteresis loop initially increases and becomes maximum at frequency $\omega^{*}(G)$, which depends on the force amplitude $G$. If the frequency is further increased, we find that for lower amplitudes the loop area decreases monotonically to zero, but for higher amplitudes it has an oscillatory component. The height of subsequent peaks decrease and finally the loop area becomes zero at very high frequencies. The number of peaks depends on the length of the DNA. We give a simple analysis to estimate the frequencies at which maxima and minima occurs in the loop area. We find that the area of the hysteresis loop scales as $1/\omega$ in high-frequency regime whereas, it scales as $G^{\alpha} \omega^{\beta}$ with exponents $\alpha =1$ and $\beta = 5/4$ at low-frequencies. The values of the exponents $\alpha$ and $\beta$ are different from the exponents reported earlier based on the hysteresis of small hairpins.Comment: 9 pages, 6 figures, Published Versio

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Section: Modelsupporting

confidence: 82%

“…These exponents are completely different from the values α = β = 1/2 reported in Ref. [21,23]. The end monomers of the strands are pulled along the x direction with a periodic force g(t) = G |sin(ωt)|.…”

Section: Introductioncontrasting

confidence: 59%

Unzipping DNA by a periodic force: Hysteresis loop area and its scaling

Kapri

2014

Phys. Rev. E

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“…Here, α and β are the characteristic exponents similar to the ones seen in the case of isotropic spin systems [20][21][22][23]. Using Langevin dynamics (LD) simulations for different chain lengths, Mishra et al [18] found that these exponents remain independent of solvent quality (varying friction coefficient) and interactions involved in the stability of bio-molecules (e.g., native interaction for DNA and nonnative interaction for a polymer globule). Moreover, they also reported the dependence of loop area on the length of the chain, which shows a power-law scaling.…”

mentioning

confidence: 84%

“…When a DNA chain is driven by an oscillatory force, a finite relaxation time produces a lag between force and response, and hence produces hysteresis [14][15][16][17][18][19]. The area of hysteresis loop, A loop , under a periodic force with amplitude F and frequency ν was found numerically in a rather detailed model to scale as F α ν β [16].…”

mentioning

confidence: 99%

Periodically driven DNA: Theory and simulation

Kumar

Janke

2016

Phys. Rev. E

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We propose a generic model of driven DNA under the influence of an oscillatory force of amplitude F and frequency ν and show the existence of a dynamical transition for a chain of finite length. We find that the area of the hysteresis loop, A_{loop}, scales with the same exponents as observed in a recent study based on a much more detailed model. However, towards the true thermodynamic limit, the high-frequency scaling regime extends to lower frequencies for larger chain length L and the system has only one scaling (A_{loop}≈ν^{-1}F^{2}). Expansion of an analytical expression for A_{loop} obtained for the model system in the low-force regime revealed that there is a new scaling exponent associated with force (A_{loop}≈ν^{-1}F^{2.5}), which has been validated by high-precision numerical calculation. By a combination of analytical and numerical arguments, we also deduce that for large but finite L, the exponents are robust and independent of temperature and friction coefficient.

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“…Hence from the above expression the fraction a = 0.53 of the lepton asymmetry converts to the baryon asymmetry through electroweak sphaleron process and the CP asymmetry should be in the order of 10 −6 − 10 −7 [16] to give the observed baryon asymmetry of order 10 −11 .…”

mentioning

confidence: 99%

Lepton asymettry in $S_3$ extended Standard Model

Giri¹,

Mishra²

2017

Proceedings of the 15th International Conference on Flavor Physics &Amp; CP Violation — PoS(FPCP2017)

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Standard model (SM) of electroweak interaction seems to be complete and consistent with almost all the data obtained so far, nevertheless, some deviations in the B sector are observed apart from the neutrino oscillation. It is believed that the SM is not a complete theory as we cannot explain the matter-antimatter asymmetry in our Universe in addition to the fact that the visible Universe contains just 5% of the total energy budget. We consider leptogenesis in a minimal S 3 extended standard model with a Higgs doublet and 3 right handed singlet Majorana neutrinos. We studied the neutrino phenomenology from the flavor structure of the S 3 invariant mass matrix in compatible with the 1σ experimental oscillation parameters.We have chosen the out of equilibrium decays of the lightest right handed Majorana neutrino to be in the temeperature range less than 10 8 GeV, where one flavor approximation isn't valid as all the charged lepton yukawa couplings are in equilibrium. Hence we can distinguish between the τ and other lepton flavors. Thereafter, we generate the lepton asymmetry by adding flavor effects coming individually from all the leptons sector. This flavor approximation can generate an appreciable lepton asymmetry which can convert to the baryon asymmetry through sphaleron process and can account for the experimental observation. Imposition of S 3 flavor structure of the yukawa couplings restrict the asymmetry in the τ sector to vanish whereas the asymmetries in other leptons sector remain finite.

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Scaling of hysteresis loop of interacting polymers under a periodic force

Cited by 16 publications

References 54 publications

Unzipping DNA by a periodic force: Hysteresis loop area and its scaling

Unzipping DNA by a periodic force: Hysteresis loop area and its scaling

Periodically driven DNA: Theory and simulation

Lepton asymettry in $S_3$ extended Standard Model

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