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We study the phase transition phenomena for long-range oriented percolation and contact process. We studied a contact process in which the range of each vertex are independent, updated dynamically and given by some distribution $N$. We also…

Probability · Mathematics 2025-01-03 Pablo A. Gomes , Bernardo N. B. de Lima

Recently experiments showed that some adhesive receptor-ligand complexes increase their lifetimes when they are stretched by mechanical force, while the force increase beyond some thresholds their lifetimes decrease. Several specific…

Cell Behavior · Quantitative Biology 2009-11-13 Fei Liu , Zhong-can Ou-Yang

Understanding stabilization and aggregation in magnetic nanoparticle systems is crucial to optimizing the functionality of these systems in real physiological applications. Here we address this problem for a specific, yet representative,…

Soft Condensed Matter · Physics 2017-03-29 Sonia Garcia-Jimeno , Joan Estelrich , Jose Callejas-Fernandez , Sandalo Roldan-Vargas

We investigate a class of diffusion-controlled reactions that are initiated at the time instance when a prescribed number $K$ among $N$ particles independently diffusing in a solvent are simultaneously bound to a target region. In the…

Chemical Physics · Physics 2023-10-17 Denis S. Grebenkov , Aanjaneya Kumar

A family of reversible deterministic cellular automata, including the rules 54 and 201 of [Bobenko et al., Commun. Math. Phys. 158, 127 (1993)] as well as their kinetically constrained quantum (unitary) or stochastic deformations, is shown…

Statistical Mechanics · Physics 2021-06-04 Tomaz Prosen

We point out that in the first order time-dependent perturbation theory, the transition probability may behave nonsmoothly in time and have kinks periodically. Moreover, the detailed temporal evolution can be sensitive to the exact…

Quantum Gases · Physics 2015-09-24 J. M. Zhang , Masudul Haque

In our recent work on concentrated suspensions of uniformly porous colloidal spheres with excluded volume interactions, a variety of short-time dynamic properties were calculated, except for the rotational self-diffusion coefficient. This…

Soft Condensed Matter · Physics 2015-05-27 Gustavo C. Abade , Bogdan Cichocki , Maria L. Ekiel-Jezewska , Gerhard Naegele , Eligiusz Wajnryb

We investigate the influence of a stochastically fluctuating step-barrier potential on bimolecular reaction rates by exact analytical theory and stochastic simulations. We demonstrate that the system exhibits a new resonant reaction…

Chemical Physics · Physics 2016-03-23 Jakob J. Kolb , Stefano Angioletti-Uberti , Joachim Dzubiella

After thrown onto a solid substrate, very soft spherical gels bounce repeatedly. Separate rheological measurements suggest that these balls can be treated as nearly elastic. The Hertz contact deformation expected in the static (elastic)…

Condensed Matter · Physics 2009-11-10 Yoshimi Tanaka , Yoshihiro Yamazaki , Ko Okumura

Fractionation is necessary for self-assembly in multicomponent mixtures. Here, reversible fractionation and crystallization are realized and studied in a two-dimensional binary colloids which is supersaturated by enhancing the attraction…

Soft Condensed Matter · Physics 2020-08-20 Lian Dan Yao , Hong Yu Chen , Yan Shi , Ying Liang , Tian Hui Zhang

We develop a theory of reversible diffusion-controlled reactions with generalized binding/unbinding kinetics. In this framework, a diffusing particle can bind to the reactive substrate after a random number of arrivals onto it, with a given…

Chemical Physics · Physics 2023-10-03 Denis S. Grebenkov

Nanoparticles with multiple ligands have been proposed for use in nanomedicine. The multiple targeting ligands on each nanoparticle can bind to several locations on a cell surface facilitating both drug targeting and uptake. Experiments…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jack N. Waddell , Douglas G. Mullen , Bradford G. Orr , Mark M. Banaszak Holl , Leonard M. Sander

A possible way to extract information about the reversible dissociation of a molecular adhesion bond from force fluctuations observed in force ramp experiments is discussed. For small loading rates the system undergoes a limited number of…

Statistical Mechanics · Physics 2015-06-18 Gregor Diezemann

Analytical equations were found for interdigitated electrodes, which considered reversible electrode reactions and pure diffusion within confined spaces. A conformal transformation, obtained by the use of Jacobian elliptic functions, was…

Chemical Physics · Physics 2019-03-08 Cristian F. Guajardo Yévenes , Werasak Surareungchai

We investigate an intermittent stochastic process in which the diffusive motion with time-dependent diffusion coefficient $D(t) \sim t^{\alpha -1}$ with $\alpha > 0$ (scaled Brownian motion) is stochastically reset to its initial position,…

Statistical Mechanics · Physics 2019-07-24 Anna S. Bodrova , Aleksei V. Chechkin , Igor M. Sokolov

We study a layer of grains atop a plate which oscillates sinusoidally in the direction of gravity, using three-dimensional, time-dependent numerical solutions of continuum equations to Navier-Stokes order as well as hard-sphere molecular…

Soft Condensed Matter · Physics 2012-08-21 J. Bougie , Veronica Policht , Jennifer Kreft Pearce

The study of spindle-like cells as nematic liquid crystals has led to remarkable insights in the understanding of tissue organization and morphogenesis. In the characterization of this anomalous liquid crystal material, we focus on the…

Soft Condensed Matter · Physics 2025-07-24 Aniruddh Murali , Prasoon Awasthi , Kirsten Endresen , Arkadiusz Goszczak , Francesca Serra

Rotating spiral waves with a central core composed of phase-randomized oscillators can arise in reaction-diffusion systems if some of the chemical components involved are diffusion-free. This peculiar phenomenon is demonstrated for a…

Pattern Formation and Solitons · Physics 2009-11-10 Shin-ichiro Shima , Yoshiki Kuramoto

We further develop the general theory of the area reactivity model that provides an alternative description of the diffusion-influenced reaction of an isolated receptor-ligand pair in terms of a generalized Feynman-Kac equation. We analyze…

Quantitative Methods · Quantitative Biology 2014-05-14 Thorsten Prüstel , Martin Meier-Schellersheim

In this letter, we derive the impulse response of the channel with a spherical absorbing receiver, a spherical reflecting boundary, and a point transmitter in molecular communication domain. By exploring the channel characteristics and…

Emerging Technologies · Computer Science 2019-12-11 Fatih Dinc , Bayram Cevdet Akdeniz , Ali Emre Pusane , Tuna Tugcu
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