Is Particle Production Active with An Integral Line Approach in The Absence of Ternal Noise?

By AM Febrianis Choirunnisa

Student of S1 Statistics

Muhammadiyah University of Semarang

Semarang-- In recent years, the rapid development of nanotechnology opened up the possibility of manipulating matter at a single molecular level and drew physicists' attention to the study of systems consisting of multiple particles. Stochastic energetics has been introduced to address this requirement it extends the concept of thermodynamics to the trajectory of a single particle and announces familiar amounts such as internal energy, exchanged heat, work and entropy to a system consisting of multiple particles or even a single particle.

First of all, i think that theory has beenferiated to include non-Markovian processes characterized by memory effects in noise and/or in kernel memory. Several descriptions have been developed to capture the behavior of active systems: among the simplest models we mentioned Run and Tumble and the Active Brownian Particles (ABP) model.  Recently, an active Ornstein-Uhlenbeck particle model (AOUP) has been introduced as a convenient estimate of ABP. In fact, the former leads to simpler analytical treatments and provides more possibilities for getting interesting predictions.

In addition, Based on the article the enropy production of ornstein-uhlenbeck active particles: a path integral method for correlation by Lorenzo Caprini, 2019 using the formulation of integral lines, obtained the rate of entropy production for an active ornstein-uhlenbeck particle system (AOUP) both in the presence and without internal interference, Marconi et. Al, we can calculate the entropy production rate of the associated media to the dynamics of AOUP in the absence of thermal noise By specifying the evolution of a as an Ornstein-Uhlenbeck process, we can easily map the active overdamped dynamics into the underdamped dynamics of a fictitious Brownian particle.

The conclution. I believe, study the entropy production of target particles, under the action of one or more sources of noise with and without memory following an integral approach of the path that is generalized to non-Markovian sound. In particular, discuss the case of active particles that move in the absence of thermal noise. Several authors have presented different results regarding the production rate of entropy, a situation that sparked an interesting debate. use this method also in more common cases, which takes into account the presence of hot showers.