Modeling polymerization of microtubules: A semi-classical nonlinear field theory approach

Modeling polymerization of microtubules: a quantum mechanical approach

Abstract In this paper, for the first time, a three-dimensional treatment of microtubules’ polymerization is presented. Starting from fundamental biochemical reactions during microtubule’s assembly and disassembly processes, we systematically derive a nonlinear system of equations that determines the dynamics of microtubules in three dimensions. We found that the dynamics of a microtubule is ma...

Classical Field Theory

a) Energy-momentum Based on Noether’s theorem, construct the energy-momentum tensor for classical electromagnetism from the above Lagrangian. Note that the usual procedure does not result in a symmetric tensor. To remedy that, we can add to T μν a term of the form ∂λK λμν , where K is antisymmetric in its first two indices. Such an object is automatically divergenceless, so T̂ μν = T μν + ∂λK λμ...

II. Non adiabatic theory of collisions in a radiative field. Semi-classical limit : Ar + O case

2014 The semi-classical limit of the non adiabatic theory of collisions in a radiative field detailed in paper 1 is applied to the numerical calculation of the collision induced emission cross section of the O(2 1S) + Ar ~ O(1 1D) + Ar + h v transition of oxygen perturbed by argon previously studied by Julienne (1982) whose available quantal results are taken as reference. The numerical results...

Non adiabatic theory of collisions in a radiative field. Semi-classical limit

Schwinger-Dyson approach to non-equilibrium classical field theory

In this paper we discuss a Schwinger-Dyson [SD] approach for determining the time evolution of the unequal time correlation functions of a non-equilibrium classical field theory, where the classical system is described by an initial density matrix at time t = 0. We focus on λφ4 field theory in 1+1 space time dimensions where we can perform exact numerical simulations by sampling an ensemble of ...