The Initial Low Gravitational Entropy of the Universe as the Origin of Design in Nature

Lineweaver, Charles H.; Egan, Chas A.

doi:10.1007/978-94-007-4156-0_1

Cited by 3 publications

(1 citation statement)

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“…Here, we define each particle that can select a microscopic state for every individual displacement of kT -one bit of information -after a collision, one degree of freedom (15; 16). Therefore, in a system with n particles, the total of n degrees of freedom are available for random displacements at the microscopic level of that system (17). These collective random motions of particles in a system at a given temperature have two manifestations from two perspectives.…”

Section: Discussionmentioning

confidence: 99%

Manifestation of Energy and Entropy of Particles in a Box

Farshad

2022

Preprint

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The energy and entropy, expressed in free energy, determine the behavior of a system. Therefore, infinite knowledge of these two quantities leads to precise prediction of the system's trajectories. Here, we study how the energy and entropy affect the distribution of a two-component system in a box. First, using a model, we intuitively show that large particles prefer to position at contact with the wall as it accompanies an increase of the system's entropy. We intuitively show that this is a consequence of maximizing the accessible states for fluctuating degrees of freedom as a portion of excluded volumes reside outside of the box when they locate near the wall. Then we employ molecular dynamics simulations to extract the effect of entropy and energy on the binary mixture distribution and how they compete with each other to determine the system's configuration. While particle-particle and particle-wall attraction energies affect the distribution of particles, we show that the emergent entropic forces --- quasi-gravitational --- have a significant contribution to the configuration of the system. This system is realized clearly for a binary mixture of hard spheres in a box with reflective walls.

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Section: Discussionmentioning

confidence: 99%