The phrase "a rapid escalation" is correct and usable in written English.
It can be used to describe a quick increase or intensification of a situation, often in contexts such as conflict, prices, or emotions.
Example: "The negotiations took a turn for the worse, leading to a rapid escalation of tensions between the two parties."
Alternatives: "a swift increase" or "a quick rise".
"But we're not seeing a rapid escalation in vineyard values".
But a rapid escalation of the eurozone crisis could prompt a slump to rival that in 2008 and 2009".
The fate of the diplomats has led to a rapid escalation in tension between Afghanistan and Iran.
They offered nearly identical accounts of their altercations, describing a rapid escalation of voice and vitriol, occasionally laced with vulgarity.
That competition led to a rapid escalation in sale prices based on projected rent growth rather than the actual cash flow generated by the buildings.
My suggestion that Sandra might like to make a contribution to Geoffrey Wadhurst Coaching Ltd by ironing one, led to a rapid escalation in hostilities.
President Obama, stunned by the rapid escalation, proposed a "national dialogue"; proposals included a new constitutional convention, a new election, a Deez Nuts caretaker administration, martial law, Shari'ah law, or dissolving the Republic and passing absolute power to one of his daughters, "like folks did in the Roman period".
Long after the crisis began in 2007, many investors and real estate executives expected a "correction" to the rapid escalation in property values.
Eventually, that will require creating some kind of arms control framework that gives officials in Islamabad, New Delhi and the rest of the world some assurance that a firefight over the Line of Control does not risk rapid escalation into a nuclear exchange.
Mrs. Clinton has now become the first candidate in the Senate race to use negative television advertisements, an event that several politicians described as an early watershed in the rapid escalation of this race.
The risk-reduction agreement covering nuclear weapons is welcomed by foreign governments worried about the risks of nuclear accidents, or of the rapid escalation of a conventional war.
