9,966 research outputs found
Gravitational potential evolution in Unified Dark Matter Scalar Field Cosmologies: an analytical approach
We investigate the time evolution of the gravitational potential Phi for a
special class of non-adiabatic Unified Dark matter Models described by scalar
field lagrangians. These models predict the same background evolution as in the
LambdaCDM and possess a non-vanishing speed of sound. We provide a very
accurate approximation of Phi, valid after the recombination epoch, in the form
of a Bessel function of the first kind. This approximation may be useful for a
future deeper analysis of Unified Dark Matter scalar field models.Comment: 5 pages, 6 figure
Energy-state formulation of lumped volume dynamic equations with application to a simplified free piston Stirling engine
Lumped volume dynamic equations are derived using an energy state formulation. This technique requires that kinetic and potential energy state functions be written for the physical system being investigated. To account for losses in the system, a Rayleigh dissipation function is formed. Using these functions, a Lagrangian is formed and using Lagrange's equation, the equations of motion for the system are derived. The results of the application of this technique to a lumped volume are used to derive a model for the free piston Stirling engine. The model was simplified and programmed on an analog computer. Results are given comparing the model response with experimental data
A 4-cylinder Stirling engine computer program with dynamic energy equations
A computer program for simulating the steady state and transient performance of a four cylinder Stirling engine is presented. The thermodynamic model includes both continuity and energy equations and linear momentum terms (flow resistance). Each working space between the pistons is broken into seven control volumes. Drive dynamics and vehicle load effects are included. The model contains 70 state variables. Also included in the model are piston rod seal leakage effects. The computer program includes a model of a hydrogen supply system, from which hydrogen may be added to the system to accelerate the engine. Flow charts are provided
Preliminary results from a four-working space, double-acting piston, Stirling engine controls model
A four working space, double acting piston, Stirling engine simulation is being developed for controls studies. The development method is to construct two simulations, one for detailed fluid behavior, and a second model with simple fluid behaviour but containing the four working space aspects and engine inertias, validate these models separately, then upgrade the four working space model by incorporating the detailed fluid behaviour model for all four working spaces. The single working space (SWS) model contains the detailed fluid dynamics. It has seven control volumes in which continuity, energy, and pressure loss effects are simulated. Comparison of the SWS model with experimental data shows reasonable agreement in net power versus speed characteristics for various mean pressure levels in the working space. The four working space (FWS) model was built to observe the behaviour of the whole engine. The drive dynamics and vehicle inertia effects are simulated. To reduce calculation time, only three volumes are used in each working space and the gas temperature are fixed (no energy equation). Comparison of the FWS model predicted power with experimental data shows reasonable agreement. Since all four working spaces are simulated, the unique capabilities of the model are exercised to look at working fluid supply transients, short circuit transients, and piston ring leakage effects
Finite time distributions of stochastically modeled chemical systems with absolute concentration robustness
Recent research in both the experimental and mathematical communities has
focused on biochemical interaction systems that satisfy an "absolute
concentration robustness" (ACR) property. The ACR property was first discovered
experimentally when, in a number of different systems, the concentrations of
key system components at equilibrium were observed to be robust to the total
concentration levels of the system. Followup mathematical work focused on
deterministic models of biochemical systems and demonstrated how chemical
reaction network theory can be utilized to explain this robustness. Later
mathematical work focused on the behavior of this same class of reaction
networks, though under the assumption that the dynamics were stochastic. Under
the stochastic assumption, it was proven that the system will undergo an
extinction event with a probability of one so long as the system is
conservative, showing starkly different long-time behavior than in the
deterministic setting. Here we consider a general class of stochastic models
that intersects with the class of ACR systems studied previously. We consider a
specific system scaling over compact time intervals and prove that in a limit
of this scaling the distribution of the abundances of the ACR species converges
to a certain product-form Poisson distribution whose mean is the ACR value of
the deterministic model. This result is in agreement with recent conjectures
pertaining to the behavior of ACR networks endowed with stochastic kinetics,
and helps to resolve the conflicting theoretical results pertaining to
deterministic and stochastic models in this setting
A four-cylinder Stirling engine controls model
A four working space, double acting piston, Stirling engine simulation was developed for controls studies. Two simulations, one for detailed fluid behavior, and a second model with simple fluid behavior but containing the four working space aspects and engine inertias, validate these models separately, then upgrade the four working space model by incorporating the detailed fluid behavior model for all four working spaces. The single working space model contains the detailed fluid dynamics. The four working space (FWS) model was built to observe the behavior of the whole engine. The drive dynamics and vehicle inertia effects are simulated. The capabilities of the model are exercised to look at working fluid supply transients, short circuit transients, and piston ring leakage effects
Unified Dark Matter scalar field models with fast transition
We investigate the general properties of Unified Dark Matter (UDM) scalar
field models with Lagrangians with a non-canonical kinetic term, looking
specifically for models that can produce a fast transition between an early
Einstein-de Sitter CDM-like era and a later Dark Energy like phase, similarly
to the barotropic fluid UDM models in JCAP1001(2010)014. However, while the
background evolution can be very similar in the two cases, the perturbations
are naturally adiabatic in fluid models, while in the scalar field case they
are necessarily non-adiabatic. The new approach to building UDM Lagrangians
proposed here allows to escape the common problem of the fine-tuning of the
parameters which plague many UDM models. We analyse the properties of
perturbations in our model, focusing on the the evolution of the effective
speed of sound and that of the Jeans length. With this insight, we can set
theoretical constraints on the parameters of the model, predicting sufficient
conditions for the model to be viable. An interesting feature of our models is
that what can be interpreted as w_{DE} can be <-1 without violating the null
energy conditions.Comment: Slightly revised version accepted for publication in JCAP, with a few
added references; 27 pages, 13 figure
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