Haut PDF Large Deviations in Single File Diffusion
Large Deviations in Single File Diffusion
... found in single- file, in which initial conditions continue to affect the posi- tion of the tracer, ...even in the long time limit [29, ...averaging in disordered systems ...
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Tagged Particle in Single-File Diffusion
... 45]. In the present work we apply the macroscopic fluctuation theory (MFT) to single-file ...calculating large deviation functions in classical diffusive systems; similar results were ...
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Single-File Diffusion of Neo-Pentane Confined in the MIL-47(V) Metal-Organic Framework
... Remarks In this work the dynamics of confined neo-pentane in the 1D-channel MIL-47(V) MOF was investigated by using Molecular Dynamics simulations with the consideration of a wide range of loading from ...A ...
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Single-file diffusion of particles in a box: Transient behaviors
... ciently interacting with their neighbors, nor with the confining walls. Therefore, they undergo a ballistic flight at their thermal velocity √k B T /M. In Figs. 1 – 3 we plot the MSD measured in the ...
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Large deviations of a tracer in the symmetric exclusion process
... particle in time. This technique is a powerful tool to study flows in ma- terial sciences, biological systems and even social groups (see ...mersed in water at thermal equilibrium, and the simplest ...
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Nonequilibrium Markov Processes Conditioned on Large Deviations
... of diffusion). Some of these properties were announced in [ 72 ]; here we provide their full proofs in addition to derive new results concerning the reversibility of the driven ...hold. In ...
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Single-file diffusion of particles with long-range interactions: Damping and finite-size effects
... the single file diffusion of a cyclic chain of particles that cannot cross each other, in a thermal bath, with long-ranged interactions and arbitrary ...damping. In order to understand ...
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Large and moderate deviations of realized covolatility
... two diffusion processes under a non-synchronous sampling ...distributions. In [2], the authors complement the results in [5] by establishing a second-order asymptotic expansion for the distribution ...
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On the Hamiltonian structure of large deviations in stochastic hybrid systems
... interested in the internal discrete state of the system, that is, one only observes the statistical behavior of the continuous variable ...a single neuron [33] or the synaptic current in a population ...
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On the Hamiltonian structure of large deviations in stochastic hybrid systems
... problems in biology that involve the coupling between a piecewise deterministic dynamical system in R d and a time-homogeneous Markov chain on some discrete space Γ [ 5 ], resulting in an a type of ...
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Upper large deviations for Branching Processes in Random Environment with heavy tails
... reproduction in some given environment. In this paper, we focus on large deviation probabilities when the offspring distributions may have heavy tails and the exceptional reproduction of a ...
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EXCEEDINGLY LARGE DEVIATIONS OF THE TOTALLY ASYMMETRIC EXCLUSION PROCESS
... observed in random matrix theory ...and in stochastic scalar conservation laws [ Mar10 ...two-scale large deviations can be easily understood in the context of the exclusion ...a ...
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Large deviations for the dynamic $\Phi^{2n}_d$ model
... a large deviation principle for a class of reaction- diffusion equations with polynomial non-linearity, perturbed by a Gaussian random ...interested in the regime where both the strength of the noise ...
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Stochastic 2D hydrodynamical type systems: Well posedness and large deviations
... arises in hydrodynamical models, the control of any moment of the V ′ norm for time increments of the solution is not as good as that in ...models in unbounded domains. The payoff for this is some ...
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Large deviations for the Boussinesq Equations under Random Influences
... method in proving LDP for evolution equations is to establish both some exponential tightness and exponentially good approximations for some approximating sequence where the diffusion coefficient is ...
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Transverse single-file diffusion near the zigzag transition
... fluctuations in quasi-1D systems of particles in a thermal bath, near the zigzag ...transition. In contrast with the longitudinal fluctuations, for which the correlations are due to the noncrossing ...
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Dynamical properties of single-file diffusion
... all single-file ...only in terms of two transport coefficients D(ρ) and ...arbitrary single-file system, essentially the only fully solvable case corresponds to a ...
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A Law of Large Numbers and Large Deviations for interacting diffusions on Erdős-Rényi graphs
... question. Large systems of interacting diffusions with mean field type interactions have been an important research topic in the mathematical community at least since the ...system. In particular, Law ...
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Equilibrium large deviations for mean-field systems with translation invariance
... establish large deviation principles for its empirical measure at ...the large deviation principles are stated in the space of centered probability measures endowed with the Wasserstein topology of ...
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Large Deviations for a matching problem related to the ∞ -Wasserstein distance
... 2 i , α 2 i+1 )} ≤ max{δ µ (a, c), δ µ (c, b)} + ε which leads to the announced inequality by taking ε → 0. 3. Let a, b ∈ S(µ) be such that a ↔ b. By definition of ↔ for every n ≥ 2 and every ¯ α ∈ Rn(a, b) we have d(a, ...
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