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50  Articles
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Brownian motion theory is always challenging how to describe diffusion phenomena with the main issue is how to extend the classical theory of Brownian motion to the special relativity framework. In this study, we formulated dynamics and distribution of a ... see more

In this paper, the broad study depends on Langevin differential equations (LDE) of arbitrary order.The fractional order is in terms of ?-Hilfer fractional operator. This work reveals the dynamicalbehaviour such as existence, uniqueness and stability solut... see more

This paper is devoted to the studies of the specific features of the simulation of the particle diffusion processes in space – periodic potentials using Langevin equations. Different methods used for the presetting of initial conditions and their effect o... see more

This paper addresses the modeling of hysteresis in ferroelectric materials through consideration of domain wall theory. The model is developed in two steps. In the first step, anhysteresis relation of Langevin and Ising spin is obtained with dipol interac... see more

Diffusion is a natural or artificial process that governs many phenomena in nature. The most known diffusion is the Brownian or normal motion, where the mean-square-displacement of the tracer (diffusive particle among others) increases as the square-root ... see more

A Langevin canonical framework for a chiral two-level system coupled to a bath of harmonic oscillators is used within a coupling scheme different from the well-known spin-boson model to study the quantum stochastic resonance for chiral molecules. This pro... see more

The goal of Science is to understand phenomena and systems in order to predict their development and gain control over them. In the scientific process of knowledge elaboration, a crucial role is played by models which, in the language of quantitative scie... see more


This paper is devoted to the studies of the opportunities for the intensification of the particle diffusion in the periodic structures, for example, the crystals that are exposed to the action of the time-periodic fields of a different nature. These can b... see more

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