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Related Concept Videos

Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
Current Growth And Decay In RL Circuits01:30

Current Growth And Decay In RL Circuits

The current growth and decay in RL circuits can be understood by considering a series RL circuit consisting of a resistor, an inductor, a constant source of emf, and two switches. When the first switch is closed, the circuit is equivalent to a single-loop circuit consisting of a resistor and an inductor connected to a source of emf. In this case, the source of emf produces a current in the circuit. If there were no self-inductance in the circuit, the current would rise immediately to a steady...
Transient and Steady-state Response01:24

Transient and Steady-state Response

In control systems, test signals are essential for evaluating performance under various conditions. The ramp function is effective for systems undergoing gradual changes, while the step function is suitable for assessing systems facing sudden disturbances. For systems subjected to shock inputs, the impulse function is the most appropriate test signal.
These test signals are integral in designing control systems to exhibit two key performance aspects: transient response and steady-state response.
LC Circuits01:21

LC Circuits

An LC circuit consists of an inductor and a capacitor, either in series or parallel. Consider a charged capacitor connected with an inductor in series. Before the switch is closed, all the energy of the circuit is stored in the electric field of the capacitor. When the switch is closed, the capacitor begins to discharge, producing a current in the circuit. The current, in turn, creates a magnetic field in the inductor. Because of the induced emf in the inductor, the current cannot change...
Series R—L Circuit Transients01:22

Series R—L Circuit Transients

In a series resistor-inductor (R-L) circuit, closing the switch at the start of the time period simulates a three-phase short circuit, a fault condition where all three phases of an unloaded synchronous machine are short-circuited. When there is no fault impedance and no initial current, the initial voltage is determined by the phase angle of the source voltage.
Using Kirchhoff's Voltage Law (KVL) to analyze this circuit helps determine the total asymmetrical fault current, which consists of...
Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...

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Novel Techniques for Observing Structural Dynamics of Photoresponsive Liquid Crystals
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Simulating structural transitions by direct transition current sampling: the example of LJ38.

Massimiliano Picciani1, Manuel Athènes, Jorge Kurchan

  • 1CEA, DEN, Service de Recherches de Métallurgie Physique, F-91191 Gif-sur-Yvette, France. massimiliano.picciani@cea.fr

The Journal of Chemical Physics
|July 27, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces a novel computational method to efficiently simulate reaction dynamics. By simulating the transition current instead of particle positions, it significantly reduces computation time for systems with low transition probabilities.

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Area of Science:

  • Computational chemistry
  • Statistical mechanics
  • Chemical kinetics

Background:

  • Traditional simulations infer reaction paths from particle positions, which is time-consuming for rare events.
  • Small transition probabilities in systems like LJ(38) clusters pose significant computational challenges.

Purpose of the Study:

  • To develop a more efficient computational approach for simulating reaction dynamics.
  • To overcome the limitations of traditional methods in handling systems with low transition probabilities.

Main Methods:

  • Simulating the time evolution of the transition current instead of individual particle positions.
  • Utilizing a timescale based on the stationary level of the transition probability rate.

Main Results:

  • Successfully applied the method to the Lennard-Jones 38-particle cluster (LJ(38)).
  • Efficiently recovered known reaction pathways and phase transitions.
  • Uncovered new reaction pathways with reduced computational effort.

Conclusions:

  • The transition current simulation method offers a significant computational advantage for studying reaction dynamics.
  • This approach is particularly effective for systems with rare events and complex phase behavior.