Article
Mechanics
F. Faisant, B. Besga, A. Petrosyan, S. Ciliberto, Satya N. Majumdar
Summary: This study experimentally investigates the optimal mean time for a Brownian particle to reach a target with resetting in one or two dimensions. Different resetting protocols were derived and tested, revealing a phase transition at a critical value, with calculations, experimental setup, and limitations discussed.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Fluids & Plasmas
Diego M. Fieguth, Timo Schlachter, Daniel S. Brady, James R. Anglin
Summary: This study examines a Hamiltonian system representing an active particle that can move in noisy and dissipative environments by drawing energy from an internal depot. Despite energy dissipation to the environment, it can help stabilize the dynamic process of the active particle.
Article
Computer Science, Interdisciplinary Applications
Ryan D. Schumm, Paul C. Bressloff
Summary: In this study, a Monte Carlo algorithm is developed to simulate diffusion across semi-permeable interfaces and solve diffusion problems with partially absorbing traps. The validation of the algorithm demonstrates its reliability and consistency with asymptotic results for similar problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Chemistry, Physical
Julian Lee, Kyle Cotter, Ibrahim Elsadek, Matthew J. Comstock, Steve Presse
Summary: We investigated the hydrodynamic coupling between neighboring micro-beads in a dual optical trap system, which allowed us to control the coupling degree and measure the time-dependent trajectories of the entrained beads. Experimental results of a probe bead's average trajectory, entrained by the motion of a neighboring scan bead, were compared with theoretical computations, demonstrating the significance of viscous coupling and determining the relaxation timescales of the probe bead. These findings provide direct experimental evidence for hydrodynamic coupling at larger scales and longer timescales, which are relevant to hydrodynamic-assisted colloidal assembly and improving the resolution of optical tweezers. We conducted the experiments with three different bead setups.
JOURNAL OF CHEMICAL PHYSICS
(2023)
Article
Mathematics, Applied
Kevin Burrage, Pamela M. Burrage, Grant Lythe
Summary: This paper presents an algorithm for homogeneous diffusive motion on a sphere by considering the equivalent process of a randomly rotating spin vector. By introducing appropriate sets of random variables, families of methods are constructed that effectively preserve the spin modulus for every realization, achieved by exponentiating an antisymmetric matrix.
NUMERICAL ALGORITHMS
(2022)
Article
Physics, Multidisciplinary
Vincent Rossetto
Summary: This paper examines the solutions of the radiative transfer equation and their relationship with Green's functions, suggesting that the transitivity property can be achieved by considering the radiance distribution in phase space. Exact solutions are obtained in one and two dimensions using continuous-time persistent random walks, which correspond to the Fokker-Planck equation of the radiative transfer equation. The Lorentz covariance property is confirmed, and the measured signal from a pulse source in one dimension is discussed, unveiling an effective random delay when the pulse is emitted away from the observer.
Article
Physics, Fluids & Plasmas
Ivan Pompa-Garcia, Rodrigo Castilla, Ralf Metzler, Leonardo Dagdug
Summary: The statistical behavior of crossing time of diffusing particles in expanding and narrowing two-dimensional conical channels under an external gravitational field was studied. It was found that the effective diffusivity decreases with increasing amplitude of the external potential, and the mean first-passage time for crossing the channel assumes a minimum at finite values of the potential amplitude.
Article
Mathematics, Interdisciplinary Applications
Maike A. F. dos Santos, Luiz Menon Junior
Summary: This paper proposes two diffusion models for SBM with random diffusivity and shows the main features of each model through thorough analysis of simulation results. The first model is suitable for systems with consistently non-Gaussian diffusion, while the second model is suitable for systems with a transition from non-Gaussian to standard Gaussian processes.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Interdisciplinary Applications
M. A. F. dos Santos, E. H. Colombo, C. Anteneodo
Summary: This study focuses on the diffusion characteristics of fractional Brownian walkers, aiming to understand individual-level features through the temporal evolution of population spatial distribution. A general framework is developed to address the possibilities and limitations of connecting these features to various diffusion processes. The results are presented in terms of well-known processes, such as Laplace diffusion and nonlinear diffusion.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Physics, Fluids & Plasmas
Baruch Meerson
Summary: We evaluated the mean escape time of overdamped particles over potential barriers in short-correlated quenched Gaussian disorder potentials in one dimension at low temperature. The form of the tail of the potential barrier probability distribution has a significant impact on the thermally activated escape. We used the optimal fluctuation method to evaluate this tail. We found that for monotone decreasing autocovariances, the obtained tail is consistent with the result obtained by Lopatin and Vinokur (2001). However, for nonmonotonic autocovariances with negative autocorrelations, we observed a higher tail, leading to an exponential increase in the mean escape time. The transition between the two regimes exhibits characteristics of a first-order transition.
Article
Mechanics
Thomas Vojta, Alex Warhover
Summary: Research shows that in the models of fractional Brownian motion and fractional Langevin equation, probability density and other properties can be mapped onto each other, but they have qualitatively different behaviors when reflecting boundaries are present.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Mechanics
Neha Tyagi, Binny J. Cherayil
Summary: Recent experimental reports have reignited the debate on the reality of activity-induced enhanced mobility. Using a one-dimensional model of two-state Brownian dynamics, researchers found that chemical reactivity can both increase and decrease the average displacement of particles.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Mechanics
Gaia Pozzoli, Benjamin De Bruyne
Summary: We studied the transport properties of a one-dimensional Brownian motion with partially absorbing traps. We found that the environment enhances diffusion when the number of traps is finite, while it inhibits diffusion when there are an infinite number of traps.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Physics, Fluids & Plasmas
A. Chechkin, I. M. Sokolov
Summary: Generalized diffusion equations are popular tools for describing non-Fickian diffusion processes, but not all processes can be described by both schemes. This work discusses the conditions for correspondence between a generalized diffusion equation and a subordination scheme, as well as examples of random processes that are applicable to one or both descriptions.
Article
Pharmacology & Pharmacy
Raul Diaz-Salmeron, Antonio Da Costa, Jean-Philippe Michel, Gilles Ponchel, Kawthar Bouchemal
Summary: This study investigated the motion behaviors of spherical and nonspherical nanomaterials composed of hyaluronic acid in water using real-time multiple particle tracking technology. The findings showed that nanoplatelets exhibited more linear trajectories and faster diffusion in water compared to nanospheres, displaying hyperdiffusive behavior. Additionally, nanoplatelets explored a surface up to 33-fold higher than nanospheres at 37 degrees C, potentially impacting drug delivery applications by enhancing particle transport through biological media.
INTERNATIONAL JOURNAL OF PHARMACEUTICS
(2021)
Article
Chemistry, Physical
Alexander M. Berezhkovskii, Leonardo Dagdug, Sergey M. Bezrukov
JOURNAL OF CHEMICAL PHYSICS
(2017)
Article
Chemistry, Physical
Alexander M. Berezhkovskii, Leonardo Dagdug, Sergey M. Bezrukov
JOURNAL OF CHEMICAL PHYSICS
(2017)
Article
Chemistry, Physical
Alexander M. Berezhkovskii, Leonardo Dagdug, Sergey M. Bezrukov
JOURNAL OF CHEMICAL PHYSICS
(2017)
Article
Chemistry, Physical
Leonardo Dagdug, Alexander M. Berezhkovskii, Vladimir Yu. Zitserman
JOURNAL OF CHEMICAL PHYSICS
(2017)
Article
Chemistry, Physical
Alexei T. Skvortsov, Alexander M. Berezhkovskii, Leonardo Dagdug
JOURNAL OF CHEMICAL PHYSICS
(2018)
Article
Chemistry, Physical
Yoshua Chavez, Guillermo Chacon-Acosta, Leonardo Dagdug
JOURNAL OF CHEMICAL PHYSICS
(2018)
Letter
Chemistry, Physical
Leonardo Dagdug, Alexander M. Berezhkovskii, Vladimir Yu. Zitserman
JOURNAL OF CHEMICAL PHYSICS
(2018)
Article
Physics, Condensed Matter
Yoshua Chavez, Guillermo Chacon-Acosta, Leonardo Dagdug
JOURNAL OF PHYSICS-CONDENSED MATTER
(2018)
Article
Chemistry, Physical
Alexei T. Skvortsov, Alexander M. Berezhkovskii, Leonardo Dagdug
JOURNAL OF CHEMICAL PHYSICS
(2018)
Article
Chemistry, Physical
Alexander M. Berezhkovskii, Leonardo Dagdug, Sergey M. Bezrukov
JOURNAL OF CHEMICAL PHYSICS
(2019)
Article
Chemistry, Physical
Alexei T. Skvortsov, Alexander M. Berezhkovskii, Leonardo Dagdug
JOURNAL OF CHEMICAL PHYSICS
(2019)
Article
Chemistry, Physical
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin, Leonardo Dagdug, Alexander M. Berezhkovskii, Alexei T. Skvortsov
JOURNAL OF CHEMICAL PHYSICS
(2019)
Article
Chemistry, Physical
Alexander M. Berezhkovskii, Leonardo Dagdug, Sergey M. Bezrukov
JOURNAL OF PHYSICAL CHEMISTRY B
(2019)
Article
Chemistry, Physical
Alexander M. Berezhkovskii, Leonardo Dagdug, Sergey M. Bezrukov
JOURNAL OF CHEMICAL PHYSICS
(2019)
Article
Physics, Fluids & Plasmas
Yizhou Tan, Jannes Gladrow, Ulrich F. Keyser, Leonardo Dagdug, Stefano Pagliara